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Exam 8: Continuous Probability Distributions

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Question 31

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

A) [0,4]
B) [4,8]
C) [−2,+2]
D) All of these choices are true.

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Question 32

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The number of parameters for an F distribution is:

A) 1
B) 2
C) 0
D) None of these choices.

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Question 33

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

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

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?

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?

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

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?

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

What is the range of the standard normal distribution?

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.

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

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.

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

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.

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

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

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

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?