14.31 Genetics. According to genetic theory, the blossom color in the second generation of a certain cross of sweet peas should be red or white in a 3:1 ratio. That is, each plant has probability 3/4 of having red blossoms, and the blossom colors of separate plants are independent. blickwinkel/Alamy Stock Photo a. What is the probability that exactly three out of four of these plants have red blossoms? b. What is the mean number of red-blossomed plants when 60 plants of this type are grown from seeds? c. What is the probability of obtaining at least 45 red-blossomed plants when 60 plants are grown from seeds? Use the Normal approximation. If your software allows, find the exact binomial probability and compare the two results.
14.31 Genetics. According to genetic theory, the blossom color in the second generation of a certain cross of sweet peas should be red or white in a 3:1 ratio. That is, each plant has probability 3/4 of having red blossoms, and the blossom colors of separate plants are independent. blickwinkel/Alamy Stock Photo a. What is the probability that exactly three out of four of these plants have red blossoms? b. What is the mean number of red-blossomed plants when 60 plants of this type are grown from seeds? c. What is the probability of obtaining at least 45 red-blossomed plants when 60 plants are grown from seeds? Use the Normal approximation. If your software allows, find the exact binomial probability and compare the two results.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Transcribed Image Text:14.31 Genetics. According to genetic theory, the blossom color in the second
generation of a certain cross of sweet peas should be red or white in a 3:1 ratio.
That is, each plant has probability 3/4 of having red blossoms, and the blossom
colors of separate plants are independent.
blickwinkel/Alamy Stock Photo
a. What is the probability that exactly three out of four of these plants have
red blossoms?
b. What is the mean number of red-blossomed plants when 60 plants of this
type are grown from seeds?
c. What is the probability of obtaining at least 45 red-blossomed plants when
60 plants are grown from seeds? Use the Normal approximation. If your
software allows, find the exact binomial probability and compare the two
results.
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