7 Let x be a binomial random variable with n20 and p .1.a. Calculate P(x 4) using the
Chapter 5, Problem 17(choose chapter or problem)
7 Let x be a binomial random variable with n20 and p .1.a. Calculate P(x 4) using the binomial formula.b. Calculate P(x 4) using Table 1 in Appendix I.c. Use the Excel output below to calculate P(x 4).Compare the results of parts a, b, and c.d. Calculate the mean and standard deviation of therandom variable x.e. Use the results of part d to calculate the intervalsm s, m 2s, and m 3s. Find the probabilitythat an observation will fall into each of theseintervals.f. Are the results of part e consistent with TchebysheffsTheorem? With the Empirical Rule? Whyor why not?Excel output for Exercise 5.17: Binomial with n 20 and p .1 x p(x) x p(x)0 0.1216 11 7E-071 0.2702 12 5E-082 0.2852 13 4E-093 0.1901 14 2E-104 0.0898 15 9E-125 0.0319 16 3E-136 0.0089 17 8E-157 0.0020 18 2E-168 0.0004 19 2E-189 0.0001 20 1E-2010 0.0000
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