2. 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 4 of having red blossoms, and the bloss om colors of separate plants are independent. Show your work. a.What is the probability that exactly 8 out of 1 0 of these plants have red blossoms? ECO 380 Problem Set 3 What is the mean number of red-blossomed plants when 130 plants of this type are grown from b. seeds? What is the probability of obtaining at least 90 red-blosso med plants when 130 plans are grown from seeds? (Hint: Are conditions to use Normal approximation satisfied? c.

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2.
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 4 of having red
blossoms, and the bloss om colors of separate plants are independent. Show your work.
a.What is the probability that exactly 8 out of 1 0 of these plants have red blossoms?
ECO 380 Problem Set 3
What is the mean number of red-blossomed plants when 130 plants of this type are grown from
b.
seeds?
What is the probability of obtaining at least 90 red-blosso med plants when 130 plans are grown
from seeds? (Hint: Are conditions to use Normal approximation satisfied?
c.
Transcribed Image Text:2. 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 4 of having red blossoms, and the bloss om colors of separate plants are independent. Show your work. a.What is the probability that exactly 8 out of 1 0 of these plants have red blossoms? ECO 380 Problem Set 3 What is the mean number of red-blossomed plants when 130 plants of this type are grown from b. seeds? What is the probability of obtaining at least 90 red-blosso med plants when 130 plans are grown from seeds? (Hint: Are conditions to use Normal approximation satisfied? c.
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