Exam 8: Continuous Probability Distributions

IT Graduates Salary The recent average starting salary for new college graduates in IT systems is $47,500.Assume salaries are normally distributed with a standard deviation of $4,500. -{IT Graduates Salary Narrative} What is the probability of a new graduate getting a starting salary in excess of $55,000?

(Short Answer)

4.8/5

(43)

Question 41

The value of a chi-squared distribution with 8 degrees of freedom such that the area to its left is 0.95 is 2.73.

(True/False)

4.9/5

(37)

Question 42

A probability density function shows the probability for each value of X.

(True/False)

4.8/5

(33)

Question 43

The shape of the ____________________ distribution is similar to a normal distribution,except it has more area in the tails.

(Short Answer)

4.9/5

(36)

Question 44

Suppose f(x)= 0.25.What range of possible values can X take on and still have the density function be legitimate?

(Multiple Choice)

4.8/5

(35)

Question 45

Electronics Test the time it takes a student to finish a electronics test has a uniform distrubtion between 50 and 70 minutes. -{Electronics Test Narrative} What is the median amount of time it takes a student to finish the test?

(Short Answer)

4.9/5

(31)

Question 46

Suppose you have a ² distribution with 20 degrees of freedom. a.Find the mean. b.Find the variance. c.Find the standard deviation.

(Short Answer)

4.7/5

(37)

Question 47

If the random variable X has a uniform distribution between 40 and 50,then P(35 ≤ X ≤ 45)is:

(Multiple Choice)

4.8/5

(38)

Question 48

If Z is a standard normal random variable,find the value z for which: a.the area between 0 and z is 0.3729 b.the area to the right of z is 0.7123 c.the area to the left of z is 0.1736 d.the area between −z and z is 0.6630

(Short Answer)

4.8/5

(33)

Question 49

What happens to the shape,mean,and variance of a ² distribution as the degrees of freedom increase?

(Essay)

4.8/5

(41)

Question 50

Electronics Test the time it takes a student to finish a electronics test has a uniform distrubtion between 50 and 70 minutes. -{Electronics Test Narrative} Find the probability that a student will take exactly one hour to finish the test.

(Short Answer)

4.9/5

(40)

Question 51

IT Graduates Salary The recent average starting salary for new college graduates in IT systems is $47,500.Assume salaries are normally distributed with a standard deviation of $4,500. -{IT Graduates Salary Narrative} What is the cutoff for the bottom 5% of the salaries?

(Short Answer)

4.8/5

(34)

Question 52

To be a legitimate probability density function,all possible values of f(x)must be non-negative.

(True/False)

4.8/5

(38)

Question 53

If your golf score is 3 standard deviations below the mean,its corresponding value on the Z distribution is −3.

(True/False)

4.9/5

(35)

Question 54

As the degrees of freedom approach infinity,the values of a Student t distribution approach those of a standard normal distribution.

(True/False)

4.9/5

(29)

Question 55

What is the range of the standard normal distribution?

(Multiple Choice)

4.7/5

(36)

Question 56

Counter Sales suppose that customers arrive at a counter at an avarage rate of three customers per minute and their arrivals follow the poisson model. -{Counter Sales Narrative} Use the appropriate exponential distribution to find the probability that the next customer will arrive within 1.5 minutes.

(Short Answer)

4.9/5

(42)

Question 57

What number corresponds to F_0.95,4,8?

(Multiple Choice)

4.8/5

(38)

Question 58

Suppose X has a chi-squared distribution with 10 degrees of freedom.The mean of X is:

(Multiple Choice)

4.9/5

(42)

Question 59

The number of parameters for an F distribution is:

(Multiple Choice)

4.9/5

(24)

Question 60

Showing 41 - 60 of 224

Exam 8: Continuous Probability Distributions

The value of a chi-squared distribution with 8 degrees of freedom such that the area to its left is 0.95 is 2.73.

A probability density function shows the probability for each value of X.

The shape of the ____________________ distribution is similar to a normal distribution,except it has more area in the tails.

Suppose f(x)= 0.25.What range of possible values can X take on and still have the density function be legitimate?

Electronics Test the time it takes a student to finish a electronics test has a uniform distrubtion between 50 and 70 minutes. -{Electronics Test Narrative} What is the median amount of time it takes a student to finish the test?

Suppose you have a 2 distribution with 20 degrees of freedom. a.Find the mean. b.Find the variance. c.Find the standard deviation.

If the random variable X has a uniform distribution between 40 and 50,then P(35 ≤ X ≤ 45)is:

If Z is a standard normal random variable,find the value z for which: a.the area between 0 and z is 0.3729 b.the area to the right of z is 0.7123 c.the area to the left of z is 0.1736 d.the area between −z and z is 0.6630

What happens to the shape,mean,and variance of a 2 distribution as the degrees of freedom increase?

Electronics Test the time it takes a student to finish a electronics test has a uniform distrubtion between 50 and 70 minutes. -{Electronics Test Narrative} Find the probability that a student will take exactly one hour to finish the test.

IT Graduates Salary The recent average starting salary for new college graduates in IT systems is $47,500.Assume salaries are normally distributed with a standard deviation of $4,500. ​ ​ -{IT Graduates Salary Narrative} What is the cutoff for the bottom 5% of the salaries?

To be a legitimate probability density function,all possible values of f(x)must be non-negative.

If your golf score is 3 standard deviations below the mean,its corresponding value on the Z distribution is −3.

As the degrees of freedom approach infinity,the values of a Student t distribution approach those of a standard normal distribution.

What is the range of the standard normal distribution?

What number corresponds to F0.95,4,8?

Suppose X has a chi-squared distribution with 10 degrees of freedom.The mean of X is:

The number of parameters for an F distribution is:

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

Suppose you have a ² distribution with 20 degrees of freedom. a.Find the mean. b.Find the variance. c.Find the standard deviation.

What happens to the shape,mean,and variance of a ² distribution as the degrees of freedom increase?

IT Graduates Salary The recent average starting salary for new college graduates in IT systems is $47,500.Assume salaries are normally distributed with a standard deviation of $4,500. -{IT Graduates Salary Narrative} What is the cutoff for the bottom 5% of the salaries?

What number corresponds to F_0.95,4,8?