22.1% of flowers of a certain species bloom "early" (before May 1st). You work for an arboretum and have a display of these flowers. a) In a row of 25 flowers, what is the probability that 6 will bloom early? b) In a row of 25 flowers, what is the probability that fewer than 7 will bloom early? c) As you walk down a row of these flowers, how many flowers do you expect to have to observe (on average) in order to see the first one that blooms early? (Keep your answer as a decimal.) d) In a row of 50 flowers, what is the probability that more than 6 will bloom early? e) In a row of 50 flowers, what is the probability that between 9 and 13 (inclusive) will bloom early? f) In a row of flowers, what is the probability that you will have to observe 6 flowers in order to see the first one that blooms early? g) In a row of flowers, what is the probability that you will observe more than 8 flowers to see the first one that blooms early?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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Use either the Binomial Distribution or the Geometric Distribution to answer the following questions. Round
your answers to 4 decimals.
22.1% of flowers of a certain species bloom "early" (before May 1st). You work for an arboretum and
have a display of these flowers.
a) In a row of 25 flowers, what is the probability that 6 will bloom early?
b) In a row of 25 flowers, what is the probability that fewer than 7 will bloom early?
c) As you walk down a row of these flowers, how many flowers do you expect to have to observe (on
average) in order to see the first one that blooms early? (Keep your answer as a decimal.)
d) In a row of 50 flowers, what is the probability that more than 6 will bloom early?
e) In a row of 50 flowers, what is the probability that between 9 and 13 (inclusive) will bloom early?
f) In a row of flowers, what is the probability that you will have to observe 6 flowers in order to see the
first one that blooms early?
g) In a row of flowers, what is the probability that you will observe more than 8 flowers to see the first one
that blooms early?
Transcribed Image Text:Use either the Binomial Distribution or the Geometric Distribution to answer the following questions. Round your answers to 4 decimals. 22.1% of flowers of a certain species bloom "early" (before May 1st). You work for an arboretum and have a display of these flowers. a) In a row of 25 flowers, what is the probability that 6 will bloom early? b) In a row of 25 flowers, what is the probability that fewer than 7 will bloom early? c) As you walk down a row of these flowers, how many flowers do you expect to have to observe (on average) in order to see the first one that blooms early? (Keep your answer as a decimal.) d) In a row of 50 flowers, what is the probability that more than 6 will bloom early? e) In a row of 50 flowers, what is the probability that between 9 and 13 (inclusive) will bloom early? f) In a row of flowers, what is the probability that you will have to observe 6 flowers in order to see the first one that blooms early? g) In a row of flowers, what is the probability that you will observe more than 8 flowers to see the first one that blooms early?
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