A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating. Round to the nearest thousandth if necessary. Round to three decimal places as needed.
Accepted Solution
A:
Answer: 0.009Step-by-step explanation:Formula we use here : Binomial distribution formula Probability of getting success sin x trial =[tex]P(X)=^nC_xp^x(1-p)^{n-x}[/tex] , where n is the sample size and p is the probability of success in each trial .Given : A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation. i.e. p= 0.65Sample size : n= 11Now, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating:-[tex]P(X)=^{11}C_{11}(0.65)^{11}(1-0.65)^{11-11}\\\\=(1)(0.65)^{11}(1)\\\\=0.00875078317401\approx0.009[/tex] Hence, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating = 0.009