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Apples are packaged automatically in 3-pound bags. Suppose that 4% of the time the bag
Chapter 2, Problem 2.3-15(choose chapter or problem)
Apples are packaged automatically in 3-pound bags. Suppose that 4% of the time the bag of apples weighs less than 3 pounds. If you select bags randomly and weigh them in order to discover one underweight bag of apples, find the probability that the number of bags that must be selected is (a) At least 20. (b) At most 20. (c) Exactly 20.
Questions & Answers
QUESTION:
Apples are packaged automatically in 3-pound bags. Suppose that 4% of the time the bag of apples weighs less than 3 pounds. If you select bags randomly and weigh them in order to discover one underweight bag of apples, find the probability that the number of bags that must be selected is (a) At least 20. (b) At most 20. (c) Exactly 20.
ANSWER:Step 1 of 4
Given that 4% of the time the bag of apples weighs less than 3 pounds. It implies that the probability that the weight of a bag is less than 3 pounds is 0.04. Thus,
Let be the random variable that denotes the number of weighings required to discover one underweight bag of apples.
Then, follows geometric distribution with .
The probability mass function of is defined by