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About Vivian
Expertise
I can answer questions on probability, distributions, statistical inference, statistical estimation, hypothesis testing, analysis of categorical data, linear regression, generalized linear regression, ANOVA, and linear mixed models. I cannot answer questions on stochastic processes.

Experience
I have worked as a research assistant at the University of Michigan, Ann Arbor for two years.

Organizations
American Statistical Association

Education/Credentials
University of Michigan, Ann Arbor Master of Science

You are here: Experts > Science > Mathematics > Probability & Statistics > Probability

Probability & Statistics - Probability

Expert: Vivian - 5/22/2008

Question
Gerry Infeld has a batting average of 0.326. What is the probability that he will have 2 hits in his next 5 times at bat? Give your answer correct to 3 decimal places.

Thankyou very much for your help

Answer
The total number of hits out of his next 5 trials has the binomial distribution with the probability of success 0.326. Probability that he will have 2 hits in his next 5 times at bat is the binomial coefficient ‘5 choose 2’* 0.326^2*(1-0.326)^3=0.325.

Note: the binomial coefficient ‘5 chooses 2’ is the number of 2-combinations from 5 elements. We have assumed that the 5 trials are independent and identical trials. ‘Identical trials’ means that the probability of hit is the same for each trial. ‘Independent trials’ means that the results of trials are independent random variable.

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