The mean incubation time for a type of fertilized egg kept at a certain temperature is 17 days. Suppose that the incubation timn approximately normally distributed with a standard deviation of 2 days. Complete parts (a) through (e) below. Click here to view graph a. Click here to view graph b. Click here to view graph d. (b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than 15 days. The probability that a randomly selected fertilized egg hatches in less than 15 duys is \( \square \). (Round to four decimal places as needed.)

In how many ways can a committee of 5 students be formed from 10 students?

Scores on a test have a mean of 78 and a standard deviation of 13 . Tom has a score of 66 . Convert Tom's score to a \( z \)-score, rounded to the nearest hundredth.

A water bottling facility has a mean bottling rate of 33.5 thousand bottles per hour with a standard deviation of 1.92 thousand bottles. A nearby cola bottling facility has a mean bottling rate of 26.2 thousand bottles per hour with a standard deviation of 1.42 thousand bottles. One Wednesday from noon to \( 1: 00 \) p.m., the water bottling facility bottled 36.8 thousand bottles of water, and the cola bottling facility bottled 28.4 thousand bottles of cola. Which facility increased their efficiency more during that hour? Answer

A water bottling facility has a mean bottling rate of 35.2 thousand bottles per hour with a standard deviation of 2.04 thousand bottles, A nearby cola bottling facility has a mean bottling rate of 26.9 thousand bottles per hour with a standard deviation of 1.51 thousand bottles. One Wednesday from noon to \( 1: 00 \) p.m., the water bottling facility bottled 36.9 thousand bottles of water, and the cola bottling facility bottled 27.9 thousand bottles of cola. Which facility increased their efficiency more during that hour? Answer

If a scatter plot shows points that are closely clustered together, what can you infer about the correlation between the variables?