Question

In: Statistics and Probability

Assume that a procedure yields a binomial distribution with n trials and the probability of success...

Assume that a procedure yields a binomial distribution with n trials and the probability of success for one trial is p. Use the given values of n and p to find the mean mu and standard deviation sigma. ?Also, use the range rule of thumb to find the minimum usual value mu minus 2 sigma and the maximum usual value mu plus 2 sigma. n

n=1510?, p=4/ 5

Solutions

Expert Solution

Solution :

Given that,

n = 1510

p = 4/5 = 0.80

q = 1 - p = 1 - 0.80 = 0.20

mean = = n * p = 1510 * 0.80 = 1208

standard deviation = = n * p * q = 1510 * 0.80 * 0.20 = 15.54

Minimum usual value = - 2 = 1208 - 2 * 15.54 = 1176.92

Maximum usual value = + 2 = 1208 + 2 * 15.54 = 1239.08


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