1. The annual per capita consumption of canned vegetables by people in the United States is normally distributed, with a mean of 39 pounds and a standard deviation of 4 pounds. (round to 4 decimal places) a. What is the probability that one randomly selected person consumes more than 42 pounds of canned vegetables? (round to 4 decimal places) b. How many pounds of canned vegetables would a person need to consume to be in the top 5% of annual consumption? (2 decimal places) C. Determine the probability that a random sample of 25 people has a mean consumption greater than 42 pounds (round to 4 decimal places)

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1. The annual per capita consumption of canned vegetables by people in the United States is normally distributed,
with a mean of 39 pounds and a standard deviation of 4 pounds. (round to 4 decimal places)
a.
What is the probability that one randomly selected person consumes more than 42 pounds of canned
vegetables? (round to 4 decimal places)
b. How many pounds of canned vegetables would a person need to consume to be in the top 5% of annual
consumption? (2 decimal places)
Determine the probability that a random sample of 25 people has a mean consumption greater than 42
pounds (round to 4 decimal places)
Transcribed Image Text:Show all work, including calculator commands 1. The annual per capita consumption of canned vegetables by people in the United States is normally distributed, with a mean of 39 pounds and a standard deviation of 4 pounds. (round to 4 decimal places) a. What is the probability that one randomly selected person consumes more than 42 pounds of canned vegetables? (round to 4 decimal places) b. How many pounds of canned vegetables would a person need to consume to be in the top 5% of annual consumption? (2 decimal places) Determine the probability that a random sample of 25 people has a mean consumption greater than 42 pounds (round to 4 decimal places)
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