# Probability Problem

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```					BINOMIAL PROBLEMS
1. There is a 70% probability that the state will fund a grant submitted by any two-year college. For a group of 12 two-year colleges, find the following: (express answers to two decimal places) .01________What is the probability that at most four will be funded? .96________What is the probability that no less than six will be funded? .88________What is the probability that more than six will be funded? .01________What is the probability that all are funded? .08________What is the probability that six are not funded? .25________What is the probability that less than three are not funded?

2. Only 60% of army recruits qualify for OTS (officer-training-school). For a group of fourteen recruits, find the following probabilities: (express answers to the nearest whole percent) 69%________ more than one-half of the group qualify 0%________ only two qualify 2%________ less than five qualify 0%________ no one qualifies 85%_________ no less than seven qualify 1%_________ ten do not qualify 51%_________ more than five do not qualify

3.

For problem 1 above, find the mean and standard deviation of the binomial distribution in use. Mean = 8.4 standard deviation = 1.59 yes

Would only four being funded be unusual?

4.

For problem 2 above, find the mean and standard deviation of the binomial distribution in use. Mean = 8.4 standard deviation = 1.83

Would eight qualifying be unusual?

No

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 views: 6 posted: 1/12/2010 language: English pages: 1
Lingjuan Ma