MATH 302| STATISTICS| WEEK 3 QUIZ WITH ANSWER KEY| 2024

MATH 302| STATISTICS| WEEK 3 QUIZ WITH ANSWER KEY| 2024 If random variable X has a binomial distribution with n =10 and P(success) =p =0.2, find the probability that X is less than 6. (That is, find P(X6) Answer: (round to 4 decimal places) Answer Key:0.9936|.9936 P(x 6) = P(x is less than or equal to 5), in Excel =BINOM.DIST(5,10,0.2,TRUE) Approximately 8% of all people have blue eyes. Out of a random sample of 20 people, what is the probability that at most 2 of them have blue eyes? Round answer to 4 decimal places. Answer Key:0.7879|.7879 P(x is less than or equal to 2), in Excel =BINOM.DIST(2,20,0.08,TRUE) Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the standard deviation. Round answer to 4 decimal places. Answer Key:1.2583 =SQRT(14*0.13*0.87), in Excel Approximately