11. Advertising Three out of four people think most ad-vertising seeks to persuade people to buy things theydon't need or can't afford. Find the probability thatexactly 5 out of 9 randomly selected people will agreewith this statement.

Answer:0.1168Step-by-step explanation:This is binomial distribution probability. The formula to solve this is:[tex]P(x)=\frac{n!}{(n-x)!x!} p^x q^{n-x}[/tex]Wherep is the probability of success [3/4 or 0.75]q is the probability of failure [1 - 0.75 = 0.25]n is total number [we choose 9 people, so n = 9]x is what we are trying to find [here we want 5 people agreeing, so x = 5]Putting the information into the formula, we calculate the probability:[tex]P(x=5)=\frac{9!}{(9-5)!5!} (0.75)^{5} (0.25)^{9-5}\\P(x=5)=\frac{9!}{4!5!}(0.75)^{5} (0.25)^{4}\\P(x=5)=(126)(0.2373)(0.0039)\\P(x=5)=0.1168[/tex]Hence, the probability is 0.1168