Exam 8: Continuous Distributions

Suppose the mean time to fill a routine prescription at a local pharmacy is 35 minutes based on the time the physician places the order to the time it is dispensed. Assume the standard deviation is 11 minutes. A z score was calculated for a number, and the z score is 3.4. What is x?

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(Multiple Choice)

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Question 1

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

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Question 2

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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 ___.

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Question 3

Correct Answer:

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The normal distribution is a symmetrical distribution with its tails extending to infinity on either side of the mean.

(True/False)

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Question 4

Let z be a normal random variable with mean 0 and standard deviation 1. What is P(z < 1.3)?

(Multiple Choice)

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Question 5

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 6

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

(Short Answer)

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Question 7

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 8

Let z be a normal random variable with mean 0 and standard deviation 1. What is P(1.3 < z < 2.3)?

(Multiple Choice)

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Question 9

The standard normal distribution is also called a finite distribution because its mean is zero and standard deviation one, always.

(True/False)

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Question 10

The net profit from a certain investment is normally distributed with a mean of $2,500 and a standard deviation of $1,000. The probability that the investor will not have a net loss is ___.

(Multiple Choice)

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Question 11

If x is continuously uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then P(x $\le$ 11) is ___.

(Multiple Choice)

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Question 12

Suppose the mean time to fill a routine prescription at a local pharmacy is 35 minutes based on 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 13

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 less than or equal to 22 minutes, i.e., P(x $\le$ 22) is ___.

(Multiple Choice)

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Question 14

Most graduate business schools require applicants to take the GMAT. Scores on this test are approximately normally distributed with a mean of 545 points and a standard deviation of 100 points. What score do you need to be in the top 5% (approximately the scores needed for top schools)?

(Multiple Choice)

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Question 15

If x is continuously 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 16

Many human characteristics such as height and weight and many measurements such as variables such as household insurance and cost per square foot of rental space are approximately normally distributed.

(True/False)

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Question 17

If variable x is normally distributed with mean 0 and standard deviation 1, x ~ N(0,1), then the probability that x is exactly 0 is ___.

(Multiple Choice)

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Question 18

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 less than 17 minutes, i.e., P(x < 17) is ___.

(Multiple Choice)

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Question 19

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 longer than 1150 hours?

(Multiple Choice)

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Question 20

Showing 1 - 20 of 64

Suppose the mean time to fill a routine prescription at a local pharmacy is 35 minutes based on the time the physician places the order to the time it is dispensed. Assume the standard deviation is 11 minutes. A z score was calculated for a number, and the z score is 3.4. What is x?

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

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 ___.

The normal distribution is a symmetrical distribution with its tails extending to infinity on either side of the mean.

Let z be a normal random variable with mean 0 and standard deviation 1. What is P(z < 1.3)?

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

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

Let z be a normal random variable with mean 0 and standard deviation 1. What is P(1.3 < z < 2.3)?

The standard normal distribution is also called a finite distribution because its mean is zero and standard deviation one, always.

The net profit from a certain investment is normally distributed with a mean of $2,500 and a standard deviation of $1,000. The probability that the investor will not have a net loss is ___.

If x is continuously uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then P(x $\le$ 11) is ___.

Suppose the mean time to fill a routine prescription at a local pharmacy is 35 minutes based on 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?

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 less than or equal to 22 minutes, i.e., P(x $\le$ 22) is ___.

Most graduate business schools require applicants to take the GMAT. Scores on this test are approximately normally distributed with a mean of 545 points and a standard deviation of 100 points. What score do you need to be in the top 5% (approximately the scores needed for top schools)?

If x is continuously 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 ___.

Many human characteristics such as height and weight and many measurements such as variables such as household insurance and cost per square foot of rental space are approximately normally distributed.

If variable x is normally distributed with mean 0 and standard deviation 1, x ~ N(0,1), then the probability that x is exactly 0 is ___.

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 less than 17 minutes, i.e., P(x < 17) 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 longer than 1150 hours?

Introduction to Statistics

Organizing and Visualizing Data

Descriptive Statistics

Gathering Data

Probability

Decision Analysis and Expected Value

Discrete Probability Distributions

Sampling Distributions

Confidence Intervals

Hypothesis Testing for Single Populations

Hypothesis Testing for Two Populations

Analysis of Variance Anova

Linear Correlation and Simple Linear Regression Analysis

Categorical Versus Categorical: Tests

Filters

Exam 8: Continuous Distributions

Suppose the mean time to fill a routine prescription at a local pharmacy is 35 minutes based on the time the physician places the order to the time it is dispensed. Assume the standard deviation is 11 minutes. A z score was calculated for a number, and the z score is 3.4. What is x?

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

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 ___.

The normal distribution is a symmetrical distribution with its tails extending to infinity on either side of the mean.

Let z be a normal random variable with mean 0 and standard deviation 1. What is P(z < 1.3)?

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

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

Let z be a normal random variable with mean 0 and standard deviation 1. What is P(1.3 < z < 2.3)?

The standard normal distribution is also called a finite distribution because its mean is zero and standard deviation one, always.

The net profit from a certain investment is normally distributed with a mean of $2,500 and a standard deviation of $1,000. The probability that the investor will not have a net loss is ___.

If x is continuously uniformly distributed over the interval 8 to 12, inclusively (8 ≤\le≤ x ≤\le≤ 12), then P(x ≤\le≤ 11) is ___.

Suppose the mean time to fill a routine prescription at a local pharmacy is 35 minutes based on 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?

Most graduate business schools require applicants to take the GMAT. Scores on this test are approximately normally distributed with a mean of 545 points and a standard deviation of 100 points. What score do you need to be in the top 5% (approximately the scores needed for top schools)?

If x is continuously 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 ___.

Many human characteristics such as height and weight and many measurements such as variables such as household insurance and cost per square foot of rental space are approximately normally distributed.

If variable x is normally distributed with mean 0 and standard deviation 1, x ~ N(0,1), then the probability that x is exactly 0 is ___.

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 less than 17 minutes, i.e., P(x < 17) 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 longer than 1150 hours?

Introduction to Statistics

Organizing and Visualizing Data

Descriptive Statistics

Gathering Data

Probability

Decision Analysis and Expected Value

Discrete Probability Distributions

Sampling Distributions

Confidence Intervals

Hypothesis Testing for Single Populations

Hypothesis Testing for Two Populations

Analysis of Variance Anova

Linear Correlation and Simple Linear Regression Analysis

Categorical Versus Categorical: Tests

Filters

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

If x is continuously uniformly distributed over the interval 8 to 12, inclusively (8 $\le$ x $\le$ 12), then P(x $\le$ 11) is ___.

If x is continuously 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, 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 less than 17 minutes, i.e., P(x < 17) is ___.