2. Given a binomial random variable X where X = # of operations in a local hospital that result in an infection for a random sample of n patients. Calculate the standard deviation of the number of infections where the probability of an infection is p (given on right). n=8 , p=0.1 3. Asssume the number of accidents that occur on campus each week during the semester is a poisson random variable where the average number of accidents each week (μ) is given on the right. Calculate the probability that the number of accidents next week is between "a" and "b" (including "a" and "b").



1) Since so PMF is
Then by given condition we get
Put c=9 gives
Thus the required value of c is 9
2) The standard deviation of binomial distribution is
Use the given values we get
3) Required probability is
4) Required probability is
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