Question

In: Statistics and Probability

A) The weekly incomes of the shift supervisors of the glass industry are governed by a...

A) The weekly incomes of the shift supervisors of the glass industry are governed by a normal probability distribution with an average of $ 1,000 and a variance of $ 10,000. What is the probability that a randomly selected supervisor will receive at least $ 1045 per week?

POSSIBLE ANSWERS: a: No answer is correct b: 0.326 c: 0.320 d: 0.673

B) It is known that the weight X of certain steel blocks is a continuous random variable evenly distributed in the interval [40,80] tons. Find the probability that if a randomly selected block is weighed weigh at least 68 tons

POSSIBLE ANSWERS: a: 0.275 b: 0.700 c: 0.300 d: 0.725

C) Let X be a line whose values adhere to a uniform distribution. A random point is chosen on the segment of the line [0, 2]. What is the probability that the chosen point is between 0.85 and 1.79?

POSSIBLE ANSWERS: a: 0.425 b: 0.470 c: 0.530 d: 0.895

D) According to the most recent data available, the average annual cost to attend a private university in the United States was $ 26 889. Suppose that the distribution of annual costs is governed by a normal probability distribution and that the standard deviation is $ 4 500 Ninety percent of students at private universities pay less than what amount?

POSSIBLE ANSWERS: a: 32656.0 b: No answer is correct c: 21122.0 d: 34290.8

E) The amount of soft drink that is dispensed in a glass is a random variable that is distributed evenly among [130, 160] milliliters. Calculate the probability that a glass contains more than 138 milliliters.

POSSIBLE ANSWERS: a: 0.2666 b: 0.7333 c: 0.2333 d: 0.7000

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

Expert Solution

orchestra answered 2 years ago

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