When a scientist conducted a genetics experiments with​ peas, one sample of offspring consisted of 939 ​peas, with 714 of them having red flowers. If we​ assume, as the scientist​ did, that under these​ circumstances, there is a 3/4 probability that a pea will have a red​ flower, we would expect that 704.25 ​(or about 704​) of the peas would have red​ flowers, so the result of 714 peas with red flowers is more than expected. a. If the​ scientist's assumed probability is​ correct, find the probability of getting 714 or more peas with red flowers. b. Is 714 peas with red flowers significantly​ high? c. What do these results suggest about the​ scientist's assumption that 3/4 of peas will have red​ flowers?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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When a scientist conducted a genetics experiments with​ peas, one sample of offspring consisted of 939 ​peas, with 714 of them having red flowers. If we​ assume, as the scientist​ did, that under these​ circumstances, there is a 3/4 probability that a pea will have a red​ flower, we would expect that 704.25 ​(or about 704​) of the peas would have red​ flowers, so the result of 714 peas with red flowers is more than expected.

a. If the​ scientist's assumed probability is​ correct, find the probability of getting 714 or more peas with red flowers.

b. Is 714 peas with red flowers significantly​ high?

c. What do these results suggest about the​ scientist's assumption that 3/4 of peas will have red​ flowers?

 

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