(1) Find the probability that 200 tosses of balanced coin will result in (a) between 80 and 120 heads inclusive (b) less
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(1) Find the probability that 200 tosses of balanced coin will result in (a) between 80 and 120 heads inclusive (b) less
(2) A machine produces bolts which are 10% defective. Find the probability that in a random sample of 400 bolts produced by this machine, (3)
(2) A machine produces bolts which are 10% defective. Find the probability that in a random sample of 400 bolts produced by this machine, (3) (a) at most 30, of the bolts will be defective. (b) between 30 and 50, of the bolts will be defective. (c) between 35 and 45, of the bolts will be non-defective. (d) 65 or more, of the bolts will be defective.
(5) The number of students coming to the computer room is said to follow a Poisson distribution with mean of 2 people per minute. (a) What is the probability of having 30 seconds or less between telephone calls? (b) What is the probability of having 1 minute or less between telephone calls? (c) What is the probability of having 5 or more minutes without a telephone call? (d) What is the probability that 20 people come to the computer room in 1 hour? (e) What is the probability that 10 people come to the computer room 1 minute?