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
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?
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?