You run a factory that produces widgets (no, you'll never escape the widgets). Widget diameters are distributed normally, with a mean of 122mm and a standard deviation of 10mm. You take a random sample of 16 widgets off the factory floor.  What is the probability that this sample average is greater than 118? Round your answer to three decimal places, eg 0.192.

IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Find the probability that this person has an IQ greater than 138. Round your answer to 4 decimals. P(IQ greater than 138) =

A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics from a data​ set, his height converts to the z score of 5.17. How many standard deviations is his height above the​ mean?

Help

ents this quarter: The Environmental Protection Agency (EPA) fuel economy estimates for automobile models tested recently predicted a mean of 25.8 miles per gallon, with a standard deviation of 5.2 miles per gallon. Assume that a Normal model applies. Find the probability that a randomly selected automobile will average: 1. Less than 21 miles per gallon. 2. More than 15 miles per gallon. 3. Between 24 and 30 miles per gallon. ular paper, making sure to number each problem so I know what work goes with which problem. e sure to complete and sign the academic honesty statement for each assignment you complete this quarter. If you a nvas. Make sure to check your f6ler for legibility and completeness before unlnading

The average amount of money spent by an Amazon customer per month is $1296 with standard deviation $110.  Assume the variable is normally distributed.  Answer the following questions. What is the probability that a random sample of 15 Amazon customers spent an average between $1100 and $1300 in a month?