Question

Fifty-five percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer to purchase electronics online is (a) exactly five, (b) more than five, and (c) at most five. (a) Find the probability that the number that prefer to purchase electronics online is exactly five. P(5)-0 (Round to three decimal places as needed.) (b) Find the probability that the number that prefer to purchase electronics online is more than five. P(x>5)-0 (Round to three decimal places as needed.) (c) Find the probability that the number that prefer to purchase electronics online is at most five. PX55)-D (Round to three decimal places as needed) Enter your answer in each of the answer boxes.

Answer 1

Sal Yap customers prefer to purchase electronics online = 55 y. Now, 8 students core randomly selected Let & be a standom variable for the no. of consumers who prefer to purchase electronics items online. So, X follows binomial distribution with n=8&p=0.55 he X~ Bin (8,0.55) (a) PlX= 5) = 805 (0.55)$(1-0-55) = 0.257 one (6) P(x+5) = § 8 cx (0.55)*(1-0.55) 8-x 8.5 X=6 -0-220 mm (c) P(xes) - & Bex (0:58) (1.0.35) 8x X=0 = 0.780 my {:: P/a)+ P(A) = 1} Also, P(X45) = 1 - P(X35) P(x<5) = 1-0.220 P(X<5) = 0.78ony