Suppose that the number of pellets in a small bag of dry dog food kibble is normally distributed, with a mean of 1462 pellets and a standard deviation of 121 pellets. Use this information to answer the following.

a. What is the probability that a randomly selected bag will contain more than 1400 pellets?

b. Would it be unusual for a bag to contain more than 1655 pellets? Why or why not?

c. What is the probability that a randomly selected bag will contain between 1200 and 1600 pellets?

d. Compute the 20th percentile of the distribution of pellets.

e. Interpret in context your answer to part d.