According to the recent CNBC and the Wall Street Journal poll, 40% of the Americ

Question

According to the recent CNBC and the Wall Street Journal poll, 40% of the American public approves of the way the President of the United States is handling his job. Take a random sample of n = 10 Americans. And let X equal the number who gives approval. (a) Find the probability that 3 or fewer people approve. (b) Find the probability that exactly four people approve. (c) Find the probability that 6 or more people approve.

Explanation / Answer

a> P = 10C3 * 0.4^3 * 0.6^7 + 10C2*0.4^2*0.6^8 + 10C1*0.4*0.6^9 + 0.6^10 = 0.382 = 38.2% b> P = 10C4 *0.4^4 *0.6^6 = 0.251 = 25.1 % c> P = 1 - 0.382 - 0.251 - 10C5* 0.4^5 * 0.6^5 = 0.166 = 16.6 %

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