5.76 Plant Genetics A peony plant with red petals was crossed with another plant having streaky petals. The probability that an offspring from this cross has red flowers is 0.75. Let X be the number of plants with red petals resulting from ten seeds from this cross that were collected and germinated.

a. Does the random variable X have a binomial distri- bution? If not, why not? If so, what are the values of n and p?

b. Find P(X9).

c. Find P(X 1).

d. Would it be unusual to observe one plant with red petals and the remaining nine plants with streaky petals? If these experimental results actually occurred, what conclusions could you draw?