3 Problems on Applied Statistics I - Assignment 3 | STAT 700, Assignments of Statistics

Download 3 Problems on Applied Statistics I - Assignment 3 | STAT 700 and more Assignments Statistics in PDF only on Docsity! ☺Problem 1. For two events A and B, P(A)=0.4, P(B)=0.2 and P(A|B)=0.6. Find: a) ( )P A B∩ b) ( | )P B A ☺Problem 2. Consider the probability distribution for the random variable x shown here: x 10 20 30 40 50 60 p(x) .05 .20 .30 .25 .10 .10 a) 2Find , , μ σ σ b) Graph p(x) ☺Problem 3. Parents who condone spanking. According to a nationwide survey, 60% of parents with young children condone spanking their child as a regular form of punishment (Tampa Tribune, Oct. 5, 2000). Consider a random sample of three people, each of whom is a parent with young children. Assume that x, the number in the sample that condone spanking, is a binomial random variable. a) What is the probability that none of the three parents condones spanking as a regular form of punishment for their children? b) What is the probability that at least one condones spanking as a regular form of punishment? c) Give the mean and standard deviation of x. Interpret the results.