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3 Problems on Applied Statistics I - Assignment 3 | STAT 700, Assignments of Statistics
Material Type: Assignment; Class: APPLIED STATISTICS I; Subject: Statistics; University: University of South Carolina - Columbia; Term: Unknown 1989;
Typology: Assignments
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āŗProblem 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( ā© B)
b) P B( | A)
āŗProblem 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.
a) Find Ī¼ , Ļ , Ļ 2
b) Graph p(x)
āŗProblem 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.