# When a scientist conducted a genetics experiments withâ€‹ peas, one sample of offspring consisted of 941941 â€‹peas, with

3 answers

###### Question:

When a scientist conducted a genetics experiments withâ€‹ peas, one sample of offspring consisted of 941941 â€‹peas, with 715715 of them having red flowers. if weâ€‹ assume, as the scientistâ€‹ did, that under theseâ€‹ circumstances, there is a 3 divided by 43/4 probability that a pea will have a redâ€‹ flower, we would expect that 705.75705.75 â€‹(or about 706706â€‹) of the peas would have redâ€‹ flowers, so the result of 715715 peas with red flowers is more than expected. a. if theâ€‹ scientist's assumed probability isâ€‹ correct, find the probability of getting 715715 or more peas with red flowers. b. is 715715 peas with red flowers significantlyâ€‹ high

## Answers

Â a) 0.2562

Â 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 â‰¥ 715) â‰ˆ 0.2562

__

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.

since proposition [tex]p[/tex] states that a number is greater than 25, if [tex]p[/tex] is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

it would take 7/10 of an hour too fill the pool.

step-by-step explanation:

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