When a scientist conducted a genetics experiments with​ peas, one sample of offspring consisted of 905 ​peas, with 706 of them having red flowers. If we​ assume, as the scientist​ did, that under these​ circumstances, there is a 3 divided by 4 probability that a pea will have a red​ flower, we would expect that 678.75 ​(or about 679) of the peas would have red​ flowers, so the result of 706 peas with red flowers is more than expected. a. If the​ scientist's assumed probability is​ correct, find the probability of getting 706 or more peas with red flowers.   If the​ scientist's assumed probability is​ correct, the probability of getting 706 or more peas with red flowers is ​(Round to four decimal places as​ needed.)

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When a scientist conducted a genetics experiments with​ peas, one sample of offspring consisted of 905 ​peas, with 706 of them having red flowers. If we​ assume, as the scientist​ did, that under these​ circumstances, there is a 3 divided by 4 probability that a pea will have a red​ flower, we would expect that 678.75 ​(or about 679) of the peas would have red​ flowers, so the result of 706 peas with red flowers is more than expected.

a. If the​ scientist's assumed probability is​ correct, find the probability of getting 706 or more peas with red flowers.
 
If the​ scientist's assumed probability is​ correct, the probability of getting 706 or more peas with red flowers is
​(Round to four decimal places as​ needed.)
Expert Solution
Step 1

Given:

There is 34=0.75 probability that a pea will have a red​ flower.

Sample size n=905

 

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