Question

1. The random variable X follows a normal distribution N(10,1). Using the provided table to find prob( (X-10)2 4) Patients arrive at a clinic at an average rate of 300 per hour. Assume the arrival at each minute follows a Poisson distribution 2. a. b. c. Find the probability that none passes in a given minute. What is the expected number passing in two minutes? Find the probability that this expected number actually pass through in a given two-minute period.

Answer 1

Kindly find the solution in the enclosed files (in order).

"The random variable x follows a normal distribution given N(mu, sigma^2) = N(10, 1) standard representation mu = 10 & sigma^2 = 1 Rightarrow sigma = 1 mean variance standard deviation rightarrow p[(x - 10)^2 < 4] = ? simplifying expression rightarrow (x - 10)^2 < 4 = (x - 10) < plusminus 2 (Or)