1. In, determine whether the given procedure results in a binomial distribution (or a distribution that can be treated as binomial). For those that are not binomial, identify at least one requirement that is not satisfied.
Surveying Senators Ten afferent senators are randomly selected without replacement and the numbers of terms that they have served are recorded.
2. Using Technology or the Binomial Probability Formula. In Exercise 24, assume that when blood donors are randomly selected, 45% of them have blood that is Group O (based on data from the Greater New York Blood Program).
If the number of blood donors is n = 11. Find the probability that the number with Group O blood is x = 9.
3. Using Computer Results. In Exercises26, refer to the accompanying Excel display. (In one of Mendel's hybridization experiments with peas, the probability of offspring peas having green pods is 3/4, or 0.75.) The display lists the probabilities obtained by entering the values of n = 6 and p = 0.75. Those probabilities correspond to the numbers of peas with green pods in a group of six offspring peas.
Genetics find the probability that at most five of the six offspring peas have green pods.
4. P(at most five green pods) = P(0)+ P(1)+ P(2)+ P(3)+ P(4)+ P(5)
= 0.000 + 0.004 + 0.033+0.132 +0.297 + 0.356
= 0.822
In Exercises 30, use either technology or the Binomial Probability table (Table A-1).
. Live TV Based on a Comcast survey, there is a 0.8 probability that a randomly selected adult will watch prime-time TV live, instead of online, on DVR, etc. Assume that seven adults are randomly selected. And find the indicated probability.
a. Find the probability that exactly two of the selected adults watch prime-time TV live.
b. Find the probability that exactly one of the selected adults watches prime-time TV live.
c. Find the probability that fewer than three of the selected adults watch prime-time TV live.
d. If we randomly select seven adults, is two an unusually low number for those who watch prime-time TV live?