points BBUnderStat1 2 52015 Your A fair quarter is flipped three times. For each

Question

points BBUnderStat1 2 52015 Your A fair quarter is flipped three times. For each of the following probabilities, use the formula for the binomial distribution and a calculator to compute the requested probsbility. Next, look up the probability in the binomial probability distribution table. (Enter your answers to three decimal places.) (a) Find the probability of getting exactly three heads b) Find the probability of getting exactly two heads (c) Find the probability of getting two or more heads d) Find the probability of getting exactly three tails. Need Help?mesaf

Explanation / Answer

Binomial formula = nCx pxqn-x

Here, n = 3

p = q = 0.5

5. a) Probability of getting 3 heads = 0.53 = 0.125

b) P(exactly 2 heads) = 3C2 x 0.52 x 0.5

= 0.375

c) P(2 or more heads) = P(2 heads) + P(3 heads)

= 0.375 + 0.125

= 0.5

d) P(exactly 3 tails) = 0.53 = 0.125

6. n = 10

p = 1/5 = 0.2

q = 0.8

a) P(answering all questions correctly) = 0.210 = 0.000

b) P(answeing all questions incorrectly) = 0.810 = 0.107

c) P(at least 1 o them is answered correctly), from binomial distribution table = 0.268 + 0.302 + 0.201 + 0.088 + 0.026 + 0.006 + 0.001 = 0.892

From mutually exclusive events, = 1 - 0.107 = 0.893

d) They should be equal, but may differ slightly due to rounding error

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