An elevator has a placard stating that the maximum capacity is 1264 lb—8 passengers.​ So, 8 adult male passengers can have a mean weight of up to 1264/8=158 pounds. If the elevator is loaded with 8 adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 158 lb.​ (Assume that weights of males are normally distributed with a mean of 162 lb and a standard deviation of 27 lb​.) Does this elevator appear to be​ safe?exceed​ 30?

A particular fruit's weights are normally distributed, with a mean of 636 grams and a standard deviation of 18 grams.If you pick 21 fruits at random, then 15% of the time, their mean weight will be greater than how many grams?

Assume that the heights of men are normally distributed with a mean of 68.1inches and a standard deviation of 2.8 inches. If 64 men are randomly selected, find theprobability that they have a mean height greater than 69.1 inches.

A particular fruit's weights are normally distributed, with a mean of 453 grams and a standard deviation of 28 grams. If you pick 10 fruits at random, then 12% of the time, their mean weight will be greater than how many grams?

A particular fruit's weights are normally distributed, with a mean of 689 grams and a standard deviation of 13 grams.If you pick 10 fruits at random, then 4% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.

A dean in the business school claims that GMAT scores of applicants to the school's MBA program have increased during the past 5 years. Five years ago, the mean and standard deviation of GMAT scores of MBA applicants were 550 and 60, respectively. 30 applications for this year's program were randomly selected and the GMAT scores recorded. If we assume that the distribution of GMAT scores of this year's applicants is the same as that of 5 years ago, find the probability of erroneously concluding that there is not enough evidence to supports the claim when, in fact, the true mean GMAT score is 590. Assume αα is 0.02.

The sizes of houses in Kenton County are normally distributed with a mean of 1369 square feet with a standard deviation of 171 square feet. For a randomly selected house in Kenton County, what is the probability the house size is under 1615 sq. ft. (round z to 2 decimal places & probability to 4 decimal places)? z = probability =

Assume that adults have IQ scores that are normally distributed with a mean of95.4 and a standard deviation of 16.6. Find the probability that a randomly selected adult has an IQ greater than 118.1 The probability that a randomly selected adult from this group has an IQ greater than 118.1 is what?