Answer to Question #241443 in Statistics and Probability for Trisha

Question

1.(a)Determine the largest power of 3 that divides 126!

(b)What is the coefficient of x^18y^l5 in the expansion of (7-3y) 43?

2.A man either drives his car or takes a bus to work each day. Suppose he never takes the bus two days in a row, but if he drives to work then the next day he is just likely to drive again as he is to take the bus. At the first day, he tosses a coinand if tail comes then he takes a bus to work. Otherwise he drives to work. Findthe transition probability matrix with description.

3. (a) Eighty percent of flights depart on time. Ninety percent of flights arrive

on time. Seventy percent of flights depart on time and arrive on time.

You are meeting a flight that departed on time. What is the probability that it willarrive on time?

(b)A family has two children. What is the conditional probability that both are boysgiven that at least one of them is a boy?