1. What is the mean and standard deviation associated with thestandard normal distribution?
2. Use the standard normal distribution table to calculate thefollowing probabilities
A) P (z ≤ -1.64)
B) P (z ≤ 2.11)
C) P (z ≥ 0.73)
D) P (-1.31 ≤ z ≤ -0.32)
3. Use the standard normal distribution table to find thez-value for each of the following
A) P (z ≤ ?) = 0.9495
B) P (z ≤ ?) = 0.2810
C) P (z ≥ ?) = 0.9968
D) P ( -1.13 ≤ z ≤ ?) = 0.8299
4. A local grocery store owner wants to learn more about howmany apples patrons buy from his store week to week, and he hasasked for your help calculating some probabilities. He tells youthat he believes the data to be normally distributed, and that theaverage amount of apples bought each week is 678.32 lbs. with astandard deviation of 53.98 lbs.
A) What is the probability that the store sells more than 750lbs. of apples in a week?
B) What is the probability that the store sells less than 500lbs. of apples in a week?
C) What is the probability that the store sells between 600 and700 lbs. of apples?
D) What is the probability that the store sells exactly 678.32lbs. of apples?
