47. Plant Genetics A peony plant with red petals was crossed with a peony plant having streaky petals. The probability that an offspring from this cross has red flowers is .75. Let x be the number of plants with red petals resulting from 10 seeds from this cross that were collected and germinated.

a. Does the random variable x have a binomial distribution?

If not, why not? If so, what are the values of n and p?

b. Find P(x$9).

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?