Final answer:
The final answer is c) 0.0377. This probability is calculated using the binomial probability formula with parameters based on the CTIA data indicating that 70% of adult Americans would rather give up chocolate than their cell phone.Thus the correct option is:c) 0.0377
Step-by-step explanation:
The probability of exactly 8 out of 10 adult Americans preferring to give up chocolate rather than their cell phone can be calculated using the binomial probability formula. The formula is P(X = k) = C(n, k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successes, p is the probability of success, and C(n, k) is the binomial coefficient. In this case, n = 10, k = 8, and p (the probability of an individual preferring to give up chocolate) is 0.7 based on the CTIA data.
Plugging in these values, we get P(X = 8) = C(10, 8) * 0.7^8 * (1-0.7)^(10-8). Calculating this expression results in the probability of approximately 0.0377, which corresponds to option c.
In simpler terms, the answer represents the likelihood of exactly 8 out of 10 randomly selected adult Americans preferring to give up chocolate. This probability is derived from the given data that 70% of adults would rather give up chocolate than their cell phone, providing the basis for the binomial distribution calculation. Therefore, option c) 0.0377 is the final answer.Thus the correct option is:c) 0.0377