Question

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

Answer 1