For question 1 you can use excel if you do not know how to use R
HW due Tuesday 9/22 September 17 2011 1. Do these in R or a similar language and include the R code to compute one of them. 5.2.3 Suppose that a fair coin is tossed 10 times. Determine the probability that strictly more heads than tails are obtained. 5.2.5 Suppose a coin with P(H) = .6 is tossed 9 times. Determine the probability that an even number of heads is obtained. 2. 5.2.9 Suppose Xi i = 1 n form bernouilli trials with parameter p. Find P(X1 = 1|ni=1 Xi = k). 3. 5.4.5 Suppose that a book with n pages contains ? misprints per page. What is the probability that there will be at least m pages which contain more that k misprints ? 4. 5.5.2 Suppose a sequence of independent tosses is made of a coin with P(H) = 1 30 . What is the expected number of tails that will be obtained before 5 heads have been obtained ? What is the variance of the number of tails that will be obtained before 5 heads have been obtained ? 1
Attachments: