.l Verizon LTE 10:30 PM 22% (10, a mathxl.com MTH2023-W15FC-2A19-S1 Kimberly Tor

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.l Verizon LTE 10:30 PM 22% (10, a mathxl.com MTH2023-W15FC-2A19-S1 Kimberly Toro I 9/25/18 9:30 PM Test:Unit III Assessment Submit Test This Question: 12 pts 15 of 15 (13 complete)> This Test: 100 pts possible Show Work 34% o women consider themselves fans of professional baseball. You randomly select our women and ask each f she considers herself a fan of professional baseball. Complete parts (a) and (b) below. (a) Construct a binomial distribution using ns4 and p:34. (Hint: Find P(x) for x#0. 1, 2.3. 4. Refer to section 42) (b) Find the mean and standard deviation of the binomial distribution. Show your work in the pop-up show work window using a step-by-step process. If the show work window does not automatically pop up, click on the show work button. After you complete your work in the show work window, click on Yes below to verify that you have shown your work and go on to the next question. O Yes O No

Explanation / Answer

Solution:- Given that p = 0.34, n = 4, q = 0.66

Binomial distribution formula : nCr*p^r*q(n-r)

(a)

P(X = 0) = 4c0*(0.34^0)*(0.66^4) = 0.1897

P(X = 1) = 4c1*(0.34^1)*(0.66^3) = 0.3910

P(X = 2) = 4c2*(0.34^2)*(0.66^2) = 0.3021

P(X = 3) = 4c3*(0.34^3)*(0.66^1) = 0.1038

P(X = 4) = 4c4*(0.34^4)*(0.66^0) = 0.0134

(b)

mean = n*p = 4*0.34 = 1.36

standard deviation = sqrt(n*p*q) = sqrt(4*0.34*0.66) = 0.9474

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