In an experiment where the binomial distribution is appropriate, six subjects ar

Question

In an experiment where the binomial distribution is appropriate, six subjects are run. What is the probability of obtaining 6 + 's, if chance alone is at work? Give your answer to six decimal places. a) (P + Q)^6 = P^6 + 6p^5Q + 15P^4Q^2 + 20 P^3Q^3 + 15P^2Q^4 + 6PQ^5 + Q^6. If P = 0.40. a) What is the exact probability of getting 6 P events? b) What is the exact probability of getting 3 P events? c) What is the exact probability of getting 6 Q events? d) What is the exact probability of getting 4 Q events? If you were at a race track and bet on 9 races in a day, each with 10 horses entered, what is the probability of winning exactly 2 races if you were picking your winners by guessing alone? If you flipped 8 coins at the same time, what is the probability of getting results more extreme than 6 heads? Assume the probability of a head with each coin = 0.75.

Explanation / Answer

4.

n = 8 coins flipped.
P(X>6 heads) = ?
p (head) = .75

So, P(X>6) = P(X=7,8) = 8C7(.75^7)(.25^1) +8C8(.75^8)(.25^0) = 0.679

Answer is .679

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