If x is uniformly distributed over some interval.The mean value (μ)of x is 2 and its variance (σ2)is 1/3.The probability that x is between 2 and 2.5, P(2 $\le$ x $\le$ 2.5), is _________.

A) 0.45 B) 0.40 C) 0.35 D) 0.33 E) 0.25 A) 0.45 B) 0.40 C) 0.35 D) 0.33 E) 0.25

Exam 6: Continuous Distributions

The probability that a call to an emergency help line is answered in less than 10 seconds is 0.8.Assume that the calls are independent of each other.Using the normal approximation for binomial with a correction for continuity, the probability that at least 75 of 100 calls are answered within 10 seconds is approximately _______

(Multiple Choice)

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Question 61

If x is uniformly distributed over some interval.The mean value (μ)of x is 2 and its variance (σ²)is 1/3.The probability that x is between 2 and 2.5, P(2 $\le$ x $\le$ 2.5), is _________.

(Multiple Choice)

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Question 62

In a standard normal distribution, if the area under curve to the right of a z-value is 0.10, then the area to the left of the same z-value is -0.10.

(True/False)

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Question 63

If x, the time (in minutes)to complete an change job at certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 $\le$ x $\le$ 30), then the probability that an oil change job is completed in 33 to 35 minutes, inclusively, i.e., P(33 $\le$ x $\le$ 35)is __________________.

(Multiple Choice)

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Question 64

The normal approximation for binomial distribution can be used when n=10 and p=1/5.

(True/False)

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Question 65

If x, the time (in minutes)to complete an oil change job at certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 $\le$ x $\le$ 30), then the standard deviation of this distribution is __________________.

(Multiple Choice)

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Question 66

Suppose the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140, inclusively (90 $\le$ x $\le$ 140), then the height of this distribution, f(x), is __________________.

(Multiple Choice)

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Question 67

The probability that someone will prefer Coke over Pepsi is 0.56.A researcher asked 90 people which soda pop they preferred, and used the normal approximation to the binomial with a correction for continuity, what would be the mean used in the calculation?

(Multiple Choice)

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Question 68

Completion time (from start to finish)of a building remodeling project is normally distributed with a mean of 200 work-days and a standard deviation of 10 work-days.To be 99% sure that we will not be late in completing the project, we should request a completion time of _______ work-days.

(Multiple Choice)

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Question 69

In a busy gas station, an average of 2.4 cars arrive every 5 minutes.What is the average time between arrivals?

(Multiple Choice)

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Question 70

Suppose the total time to fill a routine prescription at a local pharmacy averages 35 minutes starting from the time the physician places the order to the time it is dispensed.Assume the standard deviation is 11 minutes and the z score is -1.3.What is x?

(Multiple Choice)

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Question 71

A z score is the number of __________ that a value is from the mean.

(Multiple Choice)

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Question 72

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(z > -1.1)?

(Multiple Choice)

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Question 73

The average time between phone calls arriving at a call center is 30 seconds.Assuming that the time between calls is exponentially distributed, find the probability that more than a minute elapses between calls.

(Multiple Choice)

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Question 74

If the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140, inclusively (90 $\le$ x $\le$ 140), then the mean of this distribution is __________________.

(Multiple Choice)

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Question 75

Within a range of z scores from -2 to +2, you can expect to find _______ per cent of the values in a normal distribution.

(Multiple Choice)

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Question 76

At a certain workstation in an assembly line, the time required to assemble a component is exponentially distributed with a mean time of 10 minutes.Find the probability that a component is assembled in 7 minutes or less?

(Multiple Choice)

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Question 77

Participants in a 2 day biking event, cross the finish line at a rate of 10 bike riders per fifteen minute interval.On average, how much time, in minutes, elapses between bike riders?

(Multiple Choice)

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Question 78

Inquiries arrive at a record message device according to a Poisson process at a rate of 15 inquiries per minute.The probability that it takes more than 12 seconds for the first inquiry to arrive is approximately _________

(Multiple Choice)

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Question 79

Sure Stone Tire Company has established that the useful life of a particular brand of its automobile tires is normally distributed with a mean of 40,000 miles and a standard deviation of 5000 miles.What is the probability that a randomly selected tire of this brand has a life of at most 30,000 miles?

(Multiple Choice)

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Question 80

Showing 61 - 80 of 105

If x is uniformly distributed over some interval.The mean value (μ)of x is 2 and its variance (σ²)is 1/3.The probability that x is between 2 and 2.5, P(2 $\le$ x $\le$ 2.5), is _________.

In a standard normal distribution, if the area under curve to the right of a z-value is 0.10, then the area to the left of the same z-value is -0.10.

The normal approximation for binomial distribution can be used when n=10 and p=1/5.

If x, the time (in minutes)to complete an oil change job at certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 $\le$ x $\le$ 30), then the standard deviation of this distribution is __________________.

Suppose the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140, inclusively (90 $\le$ x $\le$ 140), then the height of this distribution, f(x), is __________________.

The probability that someone will prefer Coke over Pepsi is 0.56.A researcher asked 90 people which soda pop they preferred, and used the normal approximation to the binomial with a correction for continuity, what would be the mean used in the calculation?

Completion time (from start to finish)of a building remodeling project is normally distributed with a mean of 200 work-days and a standard deviation of 10 work-days.To be 99% sure that we will not be late in completing the project, we should request a completion time of _______ work-days.

In a busy gas station, an average of 2.4 cars arrive every 5 minutes.What is the average time between arrivals?

Suppose the total time to fill a routine prescription at a local pharmacy averages 35 minutes starting from the time the physician places the order to the time it is dispensed.Assume the standard deviation is 11 minutes and the z score is -1.3.What is x?

A z score is the number of __________ that a value is from the mean.

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(z > -1.1)?

The average time between phone calls arriving at a call center is 30 seconds.Assuming that the time between calls is exponentially distributed, find the probability that more than a minute elapses between calls.

If the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140, inclusively (90 $\le$ x $\le$ 140), then the mean of this distribution is __________________.

Within a range of z scores from -2 to +2, you can expect to find _______ per cent of the values in a normal distribution.

At a certain workstation in an assembly line, the time required to assemble a component is exponentially distributed with a mean time of 10 minutes.Find the probability that a component is assembled in 7 minutes or less?

Participants in a 2 day biking event, cross the finish line at a rate of 10 bike riders per fifteen minute interval.On average, how much time, in minutes, elapses between bike riders?

Inquiries arrive at a record message device according to a Poisson process at a rate of 15 inquiries per minute.The probability that it takes more than 12 seconds for the first inquiry to arrive is approximately _________

Introduction to Statistics and Business Analytics

Visualizing Data With Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 6: Continuous Distributions

If x is uniformly distributed over some interval.The mean value (μ)of x is 2 and its variance (σ2)is 1/3.The probability that x is between 2 and 2.5, P(2 ≤\le≤ x ≤\le≤ 2.5), is _________.

In a standard normal distribution, if the area under curve to the right of a z-value is 0.10, then the area to the left of the same z-value is -0.10.

The normal approximation for binomial distribution can be used when n=10 and p=1/5.

If x, the time (in minutes)to complete an oil change job at certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 ≤\le≤ x ≤\le≤ 30), then the standard deviation of this distribution is __________________.

Suppose the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140, inclusively (90 ≤\le≤ x ≤\le≤ 140), then the height of this distribution, f(x), is __________________.

The probability that someone will prefer Coke over Pepsi is 0.56.A researcher asked 90 people which soda pop they preferred, and used the normal approximation to the binomial with a correction for continuity, what would be the mean used in the calculation?

Completion time (from start to finish)of a building remodeling project is normally distributed with a mean of 200 work-days and a standard deviation of 10 work-days.To be 99% sure that we will not be late in completing the project, we should request a completion time of _______ work-days.

In a busy gas station, an average of 2.4 cars arrive every 5 minutes.What is the average time between arrivals?

Suppose the total time to fill a routine prescription at a local pharmacy averages 35 minutes starting from the time the physician places the order to the time it is dispensed.Assume the standard deviation is 11 minutes and the z score is -1.3.What is x?

A z score is the number of __________ that a value is from the mean.

Let z be a normal random variable with mean 0 and standard deviation 1.What is P(z > -1.1)?

The average time between phone calls arriving at a call center is 30 seconds.Assuming that the time between calls is exponentially distributed, find the probability that more than a minute elapses between calls.

If the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140, inclusively (90 ≤\le≤ x ≤\le≤ 140), then the mean of this distribution is __________________.

Within a range of z scores from -2 to +2, you can expect to find _______ per cent of the values in a normal distribution.

At a certain workstation in an assembly line, the time required to assemble a component is exponentially distributed with a mean time of 10 minutes.Find the probability that a component is assembled in 7 minutes or less?

Participants in a 2 day biking event, cross the finish line at a rate of 10 bike riders per fifteen minute interval.On average, how much time, in minutes, elapses between bike riders?

Inquiries arrive at a record message device according to a Poisson process at a rate of 15 inquiries per minute.The probability that it takes more than 12 seconds for the first inquiry to arrive is approximately _________

Introduction to Statistics and Business Analytics

Visualizing Data With Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

If x is uniformly distributed over some interval.The mean value (μ)of x is 2 and its variance (σ²)is 1/3.The probability that x is between 2 and 2.5, P(2 $\le$ x $\le$ 2.5), is _________.

If x, the time (in minutes)to complete an oil change job at certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20 $\le$ x $\le$ 30), then the standard deviation of this distribution is __________________.

Suppose the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140, inclusively (90 $\le$ x $\le$ 140), then the height of this distribution, f(x), is __________________.

If the number of parking spots at urban grocery stores is uniformly distributed over the interval 90 to 140, inclusively (90 $\le$ x $\le$ 140), then the mean of this distribution is __________________.