The probability that a randomly selected pound of beef is purchased by McDonald's is 0.09. Ten pounds of beef are chosen at random. What is the probability that exactly two of them are purchased by McDonald's Round your answer to four decimal places.
A)0.1714
B) 0.8286
C) 0.3645
D) 0.018
E) 0.3428

Question

The probability that a randomly selected pound of beef is purchased by McDonald's is 0.09. Ten pounds of beef are chosen at random. What is the probability that exactly two of them are purchased by McDonald's  Round your answer to four decimal places.  
A)0.1714
B) 0.8286
C) 0.3645
D) 0.018
E) 0.3428

Quizplus · Accepted Answer

This is a binomial probability problem where n = 10 (number of trials), k = 2 (number of successes), and p = 0.09 (probability of success on a single trial). The formula for binomial probability is P(X = k) = (n choose k) * p^k * (1-p)^(n-k). Plugging in the values: P(X = 2) = (10 choose 2) * (0.09)^2 * (0.91)^8 ≈ 0.1714.

The Probability That a Randomly Selected Pound of Beef Is