Exam 6: Continuous Distributions

On Saturdays, cars arrive at Sam Schmitt's Scrub and Shine Car Wash at the rate of 6 cars per fifteen-minute interval.The probability that less than 10 minutes will elapse between car arrivals is ___.

Free

(Multiple Choice)

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Question 1

Correct Answer:

Verified

Correcting for continuity is necessary when a researcher is using a discrete distribution to estimate probabilities from a continuous distribution.

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(True/False)

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Question 2

Correct Answer:

Verified

False

If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then P(x $\ge$ 10)is ___.

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(Multiple Choice)

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Question 3

Correct Answer:

Verified

Let z be a normal random variable with mean ( $\mu$ )0 and standard deviation ()of 1.The 50^th percentile of z is most closely reflected by ___.

(Multiple Choice)

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Question 4

If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then the probability, P(10.0 $\le$ x $\le$ 11.5), is ___.

(Multiple Choice)

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Question 5

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

(Multiple Choice)

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Question 6

On Saturdays, cars arrive at Sam Schmitt's Scrub and Shine Car Wash at the rate of 6 cars per fifteen-minute interval.The probability that at least 2 minutes will elapse between car arrivals is ___.

(Multiple Choice)

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Question 7

Let x be a binomial random variable with n=50 and p=.3.If we use the normal distribution to approximate probabilities for this, a correction for continuity should be made.To find the probability of more than 15 successes, we should find _______.

(Multiple Choice)

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Question 8

If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then the probability, P(13 $\le$ x $\le$ 15), is ___.

(Multiple Choice)

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Question 9

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 10

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

(Multiple Choice)

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Question 11

The expected (mean)life of a particular type of light bulb is 1,000 hours with a standard deviation of 50 hours.The life of this bulb is normally distributed.What is the probability that a randomly selected bulb would last less than 1,100 hours?

(Multiple Choice)

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Question 12

The area of the rectangle depicting a uniform distribution is always equal to one.

(True/False)

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Question 13

The exponential distribution is a continuous distribution that is closely related to the Poisson distribution.

(True/False)

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Question 14

The area of the rectangle depicting a uniform distribution is always equal to the mean of the distribution.

(True/False)

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Question 15

A correction for continuity must be made when approximating the binomial distribution problems using a normal distribution.

(True/False)

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Question 16

A z score is the number of ___ that a value, x, is from the mean.

(Multiple Choice)

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Question 17

The standard deviation of an exponential distribution is equal to 1/λ.

(True/False)

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Question 18

A z score is the number of standard deviations that a value of a random variable is above or below the mean.

(True/False)

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Question 19

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 20

Showing 1 - 20 of 107

On Saturdays, cars arrive at Sam Schmitt's Scrub and Shine Car Wash at the rate of 6 cars per fifteen-minute interval.The probability that less than 10 minutes will elapse between car arrivals is ___.

Correcting for continuity is necessary when a researcher is using a discrete distribution to estimate probabilities from a continuous distribution.

If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then P(x $\ge$ 10)is ___.

Let z be a normal random variable with mean ( $\mu$ )0 and standard deviation ()of 1.The 50^th percentile of z is most closely reflected by ___.

If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then the probability, P(10.0 $\le$ x $\le$ 11.5), is ___.

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

On Saturdays, cars arrive at Sam Schmitt's Scrub and Shine Car Wash at the rate of 6 cars per fifteen-minute interval.The probability that at least 2 minutes will elapse between car arrivals is ___.

Let x be a binomial random variable with n=50 and p=.3.If we use the normal distribution to approximate probabilities for this, a correction for continuity should be made.To find the probability of more than 15 successes, we should find _______.

If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then the probability, P(13 $\le$ x $\le$ 15), 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 __________________.

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

The expected (mean)life of a particular type of light bulb is 1,000 hours with a standard deviation of 50 hours.The life of this bulb is normally distributed.What is the probability that a randomly selected bulb would last less than 1,100 hours?

The area of the rectangle depicting a uniform distribution is always equal to one.

The exponential distribution is a continuous distribution that is closely related to the Poisson distribution.

The area of the rectangle depicting a uniform distribution is always equal to the mean of the distribution.

A correction for continuity must be made when approximating the binomial distribution problems using a normal distribution.

A z score is the number of ___ that a value, x, is from the mean.

The standard deviation of an exponential distribution is equal to 1/λ.

A z score is the number of standard deviations that a value of a random variable is above or below the mean.

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

Introduction to Statistics

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

On Saturdays, cars arrive at Sam Schmitt's Scrub and Shine Car Wash at the rate of 6 cars per fifteen-minute interval.The probability that less than 10 minutes will elapse between car arrivals is ___.

Correcting for continuity is necessary when a researcher is using a discrete distribution to estimate probabilities from a continuous distribution.

If x is uniformly distributed over the interval 8 to 12, inclusively (8 ≤\le≤ x ≤\le≤ 12), then P(x ≥\ge≥ 10)is ___.

Let z be a normal random variable with mean ( μ\muμ )0 and standard deviation ()of 1.The 50th percentile of z is most closely reflected by ___.

If x is uniformly distributed over the interval 8 to 12, inclusively (8 ≤\le≤ x ≤\le≤ 12), then the probability, P(10.0 ≤\le≤ x ≤\le≤ 11.5), is ___.

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

On Saturdays, cars arrive at Sam Schmitt's Scrub and Shine Car Wash at the rate of 6 cars per fifteen-minute interval.The probability that at least 2 minutes will elapse between car arrivals is ___.

Let x be a binomial random variable with n=50 and p=.3.If we use the normal distribution to approximate probabilities for this, a correction for continuity should be made.To find the probability of more than 15 successes, we should find _______.

If x is uniformly distributed over the interval 8 to 12, inclusively (8 ≤\le≤ x ≤\le≤ 12), then the probability, P(13 ≤\le≤ x ≤\le≤ 15), 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 __________________.

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

The expected (mean)life of a particular type of light bulb is 1,000 hours with a standard deviation of 50 hours.The life of this bulb is normally distributed.What is the probability that a randomly selected bulb would last less than 1,100 hours?

The area of the rectangle depicting a uniform distribution is always equal to one.

The exponential distribution is a continuous distribution that is closely related to the Poisson distribution.

The area of the rectangle depicting a uniform distribution is always equal to the mean of the distribution.

A correction for continuity must be made when approximating the binomial distribution problems using a normal distribution.

A z score is the number of ___ that a value, x, is from the mean.

The standard deviation of an exponential distribution is equal to 1/λ.

A z score is the number of standard deviations that a value of a random variable is above or below the mean.

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

Introduction to Statistics

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 the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then P(x $\ge$ 10)is ___.

Let z be a normal random variable with mean ( $\mu$ )0 and standard deviation ()of 1.The 50^th percentile of z is most closely reflected by ___.

If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then the probability, P(10.0 $\le$ x $\le$ 11.5), is ___.

If x is uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then the probability, P(13 $\le$ x $\le$ 15), 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 __________________.

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