Question

In: Statistics and Probability

F) If X is distributed normal with an average of 5 and a standard deviation of...

F) If X is distributed normal with an average of 5 and a standard deviation of 2.5 Determines the 97.5 percentile

POSSIBLE ANSWERS: a: 9.89 b: 9.11 c: 8.20 d: 10.81

G) The scores of a proficiency test are based on a normal distribution, with an average of 1,500 points and a standard deviation of 300 points. A school wishes to offer honorary scholarships to those students who obtain scores that place them at the top 5%. What is the minimum score required to obtain the scholarship?

POSSIBLE ANSWERS: a: 1006.54 b: No answer is correct c: 1993.46 d: 1884.47

H) If Z is a standard normal going. Calculate the probability that Z is between -2.45 and -.37 inclusive.

POSSIBLE ANSWERS: a: 0.355 b: 0.345 c: 0.348 d: 0.007

I) Australian sheep dogs have a relatively short life, because their duration is due to a uniform distribution of between 6 and 15 years. What is the probability that a dog will live less than 14. 2 years?

POSSIBLE ANSWERS: a:0.1111 b: 0.9111 c: 0.0888 d: 0.6679

J) If x is distributed uniformly from 30 to 88. Determine the 75th percentile to
POSSIBLE ANSWERS: a:75.6 b: 63.5 c: 56.6 d:73.5

Solutions

Expert Solution

F) Given X is distributed normal with an average of 5 and a standard deviation of 2.5 . We need to find the 97.5 percentile

Correct choice is (A).

G) The scores of a proficiency test are based on a normal distribution, with an average of 1,500 points and a standard deviation of 300 points. We need to find the 97.5 percentile .

Correct choice is (C).

H) The probability,

Correct choice is (C).

I) The CDF of the uniform distribution is . The probability

Correct choice is (B).

J) The CDF of the uniform distribution is

Correct choice is (D)..


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