3. Approximately 3.6% of all (untreated) Jonathan apples had bitter pit in a study conducted by the botanists. Let n be a random variable that represents the first Jonathan apple chosen at random that has bitter pit. a. Write out a formula for the probability distribution of the random variable. Find the probabilities that b. n=3 e. Find the probability that n ≥ 5 c. n=5 d. n=12 f. What is the expected number of apples th must be examined to find the first one wi bitter pit? Hint: Use μ for the geometric distribution and round.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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3. Approximately 3.6% of all (untreated) Jonathan apples had bitter pit in a study conducted by the botanists. Let n be a
random variable that represents the first Jonathan apple chosen at random that has bitter pit.
a. Write out a formula for the probability distribution of the random variable.
Find the probabilities that
b. n=3
e.
Find the probability that n ≥ 5
c. n=5
d. n=12
f. What is the expected number of apples th=
must be examined to find the first one wi
bitter pit? Hint: Use μ for the geometric
distribution and round.
Transcribed Image Text:3. Approximately 3.6% of all (untreated) Jonathan apples had bitter pit in a study conducted by the botanists. Let n be a random variable that represents the first Jonathan apple chosen at random that has bitter pit. a. Write out a formula for the probability distribution of the random variable. Find the probabilities that b. n=3 e. Find the probability that n ≥ 5 c. n=5 d. n=12 f. What is the expected number of apples th= must be examined to find the first one wi bitter pit? Hint: Use μ for the geometric distribution and round.
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