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 .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 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?