When a scientist conducted a genetics experiments with​ peas, one sample of offspring consisted of 907 ​peas, with 705 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 680.25 ​(or about 680​) of the peas would have red​ flowers, so the result of 705 peas with red flowers is more than expected. a. If the​ scientist's assumed probability is​ correct, find the probability of getting 705 or more peas with red flowers. b. Is 705 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? a. If the​ scientist's assumed probability is​ correct, the probability of getting 705 or more peas with red flowers is nothing.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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When a scientist conducted a genetics experiments with​ peas, one sample of offspring consisted of
907
​peas, with
705
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
680.25
​(or about
680​)
of the peas would have red​ flowers, so the result of
705
peas with red flowers is more than expected.
a. If the​ scientist's assumed probability is​ correct, find the probability of getting
705
or more peas with red flowers.
b. Is
705
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?
a. If the​ scientist's assumed probability is​ correct, the probability of getting
705
or more peas with red flowers is
nothing.
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