Question

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

Answer 1

Answer:

  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.