In the study of fingerprints, an importatn quatitative characteristic is the tot

Question

In the study of fingerprints, an importatn quatitative characteristic is the total ridge count for the 10 fingers of the individual. Suppose that the total ridge counts of the individuals in a certain population are approximately normally distributed with a mean of 140 and a standard deviation of 50. a. find the probability that an individual picked at random from this population will hava a ridge count of between 100 and 200.

Explanation / Answer

Given X~Normal(mean=140, s=50) a. P(X>200)= P((x-mean)/s >(200-140)/50) =P(Z>1.2) =0.1151 (check standard normal table) b. 10000*0.1151=1151

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