all of your work in the space provided. When possible, put your answer in the bl

Question

all of your work in the space provided. When possible, put your answer in the blank on the right. Show Unless otherwise specified, short answer problems are worth 3 points each, multiple choice problems are It should be clear from your work shown which formula(s) you are using Also, if you use a calculator function, show that in your work. For example: normalcdff-9999, -1.3756), etc. Find the mean of the given probability distribution. 1 point each. 1) The number of golf balls ordered by customers of a pro shop has the following probability 1) distribution. ? 10.14 6 0.07 12 0.33 15 0.10 Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The babilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the table. Probabilities of Girls x(girls) Px) x(girls)| P(x) x(girls) P(x 0 10.000 5 10.122| 10 10.061 1 0.001 6 0.183 11 0.022 20.006 7 0.209 12 0.006 3 10.0221 8 10.183| 13 |0.001 4 |0.061| 9 10.1221 14 10.000 2) 2) Find the probability of selecting 9 or more girls. ssume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability rmula to find the probability of x successes given the probability p of success on a single trial. Round to three decir aces. 3)

Explanation / Answer

1) mean = 3 * 0.14 + 6 * 0.07 + 9 * 0.36 + 12 * 0.33 + 15 * 0.10 = 9.54

2) P(X > 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)

                  = 0.122 + 0.061 + 0.022 + 0.006 + 0.001 + 0.000

                  = 0.212

3) P(X = x) = nCx * px * (1 - p)n - x

    P(X = 2) = 10C2 * (1/3)^2 * (2/3)^8

                   = 0.195

                   

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