Question 1

A uniform distribution f(x)is a continuous probability distribution which says the probability that x is in any 2 intervals of equal length is the same.

Accepted Answer

A) True 
 B)False

Question 2

A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard deviation of 9.
-Only 5% of the students taking the test scored higher than what grade?

Accepted Answer

82.52 @#IMG-DLM& 
=

Question 3

For a continuous distribution,P(X ≤ 100)= P(X < 100).

Accepted Answer

A) True 
 B)False

Question 4

The temperature for the month of July with the humidex factor is normally distributed with a mean of 30.05°C with a standard deviation of 0.2°C.
-What is the probability that a daily July temperature taken at random from the population is between 30.25C and 30.65C?

Accepted Answer

The answer of The temperature for the month of July...

Question 5

If x is a binomial random variable where n = 100 and p = .1,find the probability that x is less than or equal to 10 using the normal approximation to the binomial.

Accepted Answer

The answer of If x is a binomial random variable...

Question 6

Find z when the area between z and -z is .9030

Accepted Answer

The answer of Find z when the area between z...

Question 7

The life of a light bulb is exponentially distributed with a mean of 1,000 hours. What is the probability that the bulb will last:
-More than 1,200 hours?

Accepted Answer

The answer of The life of a light bulb is...

Question 8

Complete the following statement: Only 12.5% of their retired employees will receive payment beyond age ______.

Accepted Answer

83.89 z_.125 =

Question 9

The height of a probability curve f(x)at a particular point indicates the value of a probability for a given value of a random variable x.

Accepted Answer

A) True 
 B)False

Question 10

The number of standard deviations that a value x is from the mean is a _____.

Accepted Answer

The answer of The number of standard deviations that a...

Question 11

During the past six months, 73.2% of households purchased sugar. Assume that these expenditures are approximately normally distributed with a mean of $8.22 and a standard deviation of $1.10.
-Find the probability that a household spent more than $10.00

Accepted Answer

.0526
P(x

Question 12

The flying time of a drone airplane has a normal distribution with mean 4.76 hours and standard deviation of .04 hours. What is the probability that the drone will fly:
-More than 4.80 hours?

Accepted Answer

The answer of The flying time of a drone airplane...

Question 13

Suppose the distribution of integrity test scores is normally distributed with a mean of 15 and a variance of 25.Using this information,what percentage of the population scores greater than 15?

Accepted Answer

A) 53.28% 
B) 59.87% 
C) 49.13% 
D) 50.00% 
E) 40.00% 
A) 53.28% 
B) 59.87% 
C) 49.13% 
D) 50.00% 
E) 40.00%

Question 14

Which of the following statements is not a property of the normal probability distribution?

Accepted Answer

A) The normal distribution is symmetric. 
B) 95.44% of all possible observed values of the random variable x are within three standard deviations of the population mean. 
C) The mean,median,and mode are equal. 
D) The area under the normal curve to the right of the mean is equal to the area under the normal curve to the left of the mean. 
E) 68.28% of all possible observed values of the random variable x are within one standard deviation of the population mean. 
A) The normal distribution is symmetric. 
B) 95.44% of all possible observed values of the random variable x are within three standard deviations of the population mean. 
C) The mean,median,and mode are equal. 
D) The area under the normal curve to the right of the mean is equal to the area under the normal curve to the left of the mean. 
E) 68.28% of all possible observed values of the random variable x are within one standard deviation of the population mean.

Question 15

A continuous probability distribution having a rectangular shape where the probability is evenly distributed over an interval of numbers is a(n)_____ distribution.

Accepted Answer

The answer of A continuous probability distribution having a rectangular...

Question 16

Exceeds 3 minutes?

Accepted Answer

A) 3012 
B) 6988 
C) 4346 
D) 5654 
E) 0821 
A) 3012 
B) 6988 
C) 4346 
D) 5654 
E) 0821

Question 17

Consider a normal population with a mean of 10 and a standard deviation 2.
-Find P(X > 18).

Accepted Answer

The answer of Consider a normal population with a mean...

Question 18

If the random variable X has a mean of $\mu$
And a standard deviation $\sigma$
,then $( X - \mu ) / \sigma$
Has a mean of ____ and standard deviation of _____.

Accepted Answer

A)  $\mu$ and $\sigma$ 
B)  $\bar { X }$ and s 
C) 1 and 0 
D) 0 and 1 
E) Cannot be determined without more information. 
A)  $\mu$ and $\sigma$ 
B)  $\bar { X }$ and s 
C) 1 and 0 
D) 0 and 1 
E) Cannot be determined without more information.

Question 19

A normal population has a mean of 10 and a variance of 4.What is P(X < 6)?

Accepted Answer

A) 0.0228 
B) 0.4772 
C) 0.0398 
D) 0.0438 
E) 0.4948 
A) 0.0228 
B) 0.4772 
C) 0.0398 
D) 0.0438 
E) 0.4948

Question 20

At a Great Lakes nuclear power plant, lake water is used as part of the cooling system. This raises the temperature of the water that is discharged back into the lake. The amount that the water temperature is raised has a uniform distribution over the interval from 10 to 25º C.
-What is the probability that the temperature increase will be between 20 and 22º C?

Accepted Answer

.13
P(20 ≤

A uniform distribution f(x)is a continuous probability distribution which says the probability that x is in any 2 intervals of equal length is the same.

A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard deviation of 9. -Only 5% of the students taking the test scored higher than what grade?

For a continuous distribution,P(X ≤ 100)= P(X < 100).

The temperature for the month of July with the humidex factor is normally distributed with a mean of 30.05°C with a standard deviation of 0.2°C. -What is the probability that a daily July temperature taken at random from the population is between 30.25C and 30.65C?

If x is a binomial random variable where n = 100 and p = .1,find the probability that x is less than or equal to 10 using the normal approximation to the binomial.

Find z when the area between z and -z is .9030

The life of a light bulb is exponentially distributed with a mean of 1,000 hours. What is the probability that the bulb will last: -More than 1,200 hours?

Complete the following statement: Only 12.5% of their retired employees will receive payment beyond age ______.

The height of a probability curve f(x)at a particular point indicates the value of a probability for a given value of a random variable x.

The number of standard deviations that a value x is from the mean is a _____.

During the past six months, 73.2% of households purchased sugar. Assume that these expenditures are approximately normally distributed with a mean of $8.22 and a standard deviation of $1.10. -Find the probability that a household spent more than $10.00

The flying time of a drone airplane has a normal distribution with mean 4.76 hours and standard deviation of .04 hours. What is the probability that the drone will fly: -More than 4.80 hours?

Suppose the distribution of integrity test scores is normally distributed with a mean of 15 and a variance of 25.Using this information,what percentage of the population scores greater than 15?

Which of the following statements is not a property of the normal probability distribution?

A continuous probability distribution having a rectangular shape where the probability is evenly distributed over an interval of numbers is a(n)_____ distribution.

Exceeds 3 minutes?

Consider a normal population with a mean of 10 and a standard deviation 2. -Find P(X > 18).

If the random variable X has a mean of $\mu$ And a standard deviation $\sigma$ ,then $( X - \mu ) / \sigma$ Has a mean of and standard deviation of _.

A normal population has a mean of 10 and a variance of 4.What is P(X < 6)?

An Introduction to Business Statistics

Descriptive Statistics

Probability

Discrete Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Correlation Coefficient and Simple Linear Regression Analysis

Multiple Regression and Model Building

Nonparametric Methods

Chi-Square Tests

Decision Theory

Time Series Forecasting

Filters

Exam 5: Continuous Random Variables

A uniform distribution f(x)is a continuous probability distribution which says the probability that x is in any 2 intervals of equal length is the same.

A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard deviation of 9. -Only 5% of the students taking the test scored higher than what grade?

For a continuous distribution,P(X ≤ 100)= P(X < 100).

The temperature for the month of July with the humidex factor is normally distributed with a mean of 30.05°C with a standard deviation of 0.2°C. -What is the probability that a daily July temperature taken at random from the population is between 30.25C and 30.65C?

If x is a binomial random variable where n = 100 and p = .1,find the probability that x is less than or equal to 10 using the normal approximation to the binomial.

Find z when the area between z and -z is .9030

The life of a light bulb is exponentially distributed with a mean of 1,000 hours. What is the probability that the bulb will last: -More than 1,200 hours?

Complete the following statement: Only 12.5% of their retired employees will receive payment beyond age ______.

The height of a probability curve f(x)at a particular point indicates the value of a probability for a given value of a random variable x.

The number of standard deviations that a value x is from the mean is a _____.

During the past six months, 73.2% of households purchased sugar. Assume that these expenditures are approximately normally distributed with a mean of $8.22 and a standard deviation of $1.10. -Find the probability that a household spent more than $10.00

The flying time of a drone airplane has a normal distribution with mean 4.76 hours and standard deviation of .04 hours. What is the probability that the drone will fly: -More than 4.80 hours?

Suppose the distribution of integrity test scores is normally distributed with a mean of 15 and a variance of 25.Using this information,what percentage of the population scores greater than 15?

Which of the following statements is not a property of the normal probability distribution?

A continuous probability distribution having a rectangular shape where the probability is evenly distributed over an interval of numbers is a(n)_____ distribution.

Exceeds 3 minutes?

Consider a normal population with a mean of 10 and a standard deviation 2. -Find P(X > 18).

If the random variable X has a mean of μ\muμ And a standard deviation σ\sigmaσ ,then (X−μ)/σ( X - \mu ) / \sigma(X−μ)/σ Has a mean of ____ and standard deviation of _____.

A normal population has a mean of 10 and a variance of 4.What is P(X < 6)?

An Introduction to Business Statistics

Descriptive Statistics

Probability

Discrete Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Correlation Coefficient and Simple Linear Regression Analysis

Multiple Regression and Model Building

Nonparametric Methods

Chi-Square Tests

Decision Theory

Time Series Forecasting

Filters

If the random variable X has a mean of $\mu$ And a standard deviation $\sigma$ ,then $( X - \mu ) / \sigma$ Has a mean of and standard deviation of _.