When a scientist conducted a genetics experiments with peas, one sample of offspring consisted of 941941 peas, with 715715 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 705.75705.75 (or about 706706 ) of the peas would have red flowers, so the result of 715715 peas with red flowers is more than expected. a. If the scientist's assumed probability is correct, find the probability of getting 715715 or more peas with red flowers. b. Is 715715 peas with red flowers significantly high

Question

Mathematics

Margaret Larson

10 September, 10:22

When a scientist conducted a genetics experiments with peas, one sample of offspring consisted of 941941 peas, with 715715 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 705.75705.75 (or about 706706 ) of the peas would have red flowers, so the result of 715715 peas with red flowers is more than expected. a. If the scientist's assumed probability is correct, find the probability of getting 715715 or more peas with red flowers. b. Is 715715 peas with red flowers significantly high

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Answers (1)

Know the Answer?

Theresa Arnold · Answer 1

a) 0.2562

b) no

Step-by-step explanation:

a) A binomial probability calculator or app can tell you that for bin (941, 0.75) the probability P (X ≥ 715) ≈ 0.2562

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b) "significantly high" usually means the probability is less than 5%, often less than 1%. An event that occurs when its probability is almost 26% is not that unusual.