When a scientist conducted a genetics experiments with​ peas, one sample of offspring consisted of 945945 ​peas, with 718718 of them having red flowers. If we​ assume, as the scientist​ did, that under these​ circumstances, there is a 3 divided by 43/4 probability that a pea will have a red​ flower, we would expect that 708.75708.75 ​(or about 709709​) of the peas would have red​ flowers, so the result of 718718 peas with red flowers is more than expected. a. If the​ scientist's assumed probability is​ correct, find the probability of getting 718 or more peas with red flowers. b. Is 718 peas with red flowers significantly​ high? c. What do these results suggest about the​ scientist's assumption that 3 divided by 43/4 of peas will have red​ flowers?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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When a scientist conducted a genetics experiments with​ peas, one sample of offspring consisted of
945945
​peas, with
718718
of them having red flowers. If we​ assume, as the scientist​ did, that under these​ circumstances, there is a
3 divided by 43/4
probability that a pea will have a red​ flower, we would expect that
708.75708.75
​(or about
709709​)
of the peas would have red​ flowers, so the result of
718718
peas with red flowers is more than expected.
a. If the​ scientist's assumed probability is​ correct, find the probability of getting
718
or more peas with red flowers.
b. Is
718
peas with red flowers significantly​ high?
c. What do these results suggest about the​ scientist's assumption that
3 divided by 43/4
of peas will have red​ flowers?
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