A gardening inspector randomly selects people one be one from a large population until she finds someone who has heard of PL Melons. Let X be the number of selected people who have not heard of PL Melons before the first person who has heard of PL Melons is found. Let Y be the number of selected people who have not heard of PL Melons before the second person who has heard of PL Melons is found. Suppose 27% of the population has heard of PL Melons. a. What is the probability that none of the first four people selected have heard of PL Melons?? | b. What is the expected value of X? c. What is the variance of X? d. What is the probability that X = 0? e. What is the probability that X ≤ 4? f. What is the probability that Y = 6? g. What is the probability that Y = 0?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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A gardening inspector randomly selects people one be one from a large population until she finds someone who has heard of PL Melons. Let X be the number of
selected people who have not heard of PL Melons before the first person who has heard of PL Melons is found. Let Y be the number of selected people who have
not heard of PL Melons before the second person who has heard of PL Melons is found. Suppose 27% of the population has heard of PL Melons.
a. What is the probability that none of the first four people selected have heard of PL Melons??
b. What is the expected value of X?
c. What is the variance of X?
d. What is the probability that X = 0?
e. What is the probability that X ≤ 4?
f. What is the probability that Y = 6?
g. What is the probability that Y = 0?
Transcribed Image Text:A gardening inspector randomly selects people one be one from a large population until she finds someone who has heard of PL Melons. Let X be the number of selected people who have not heard of PL Melons before the first person who has heard of PL Melons is found. Let Y be the number of selected people who have not heard of PL Melons before the second person who has heard of PL Melons is found. Suppose 27% of the population has heard of PL Melons. a. What is the probability that none of the first four people selected have heard of PL Melons?? b. What is the expected value of X? c. What is the variance of X? d. What is the probability that X = 0? e. What is the probability that X ≤ 4? f. What is the probability that Y = 6? g. What is the probability that Y = 0?
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