Question

A particular fruit's weights are normally distributed, with a mean of 372 grams and a standard deviation of 26 grams. If you pick 36 fruit at random, what is the probability that their mean weight will be between 365 grams and 380 grams

Answer 1

Answer: 90.93%

Explanation:

M= 372

s= 26

n=36

P(365<x<380)

1. Find Z ----> 365-372
`√(36)` = -1.6 Next Z----> 380 - 372
`√(36)`= 1.8

26 26

2. plug into calculator to find probablity: normalcdf(-1.6 , 1.8 ) = .90927 or 90.93% that the prob is between 365 and 380