Please only answer the question 1. Please only answer the question 1. 1 Problem

Question

Please only answer the question 1.

Please only answer the question 1.

1 Problem You bump into a random person who says "I have two children one of whom is this boy standing next to me." What is the probability that the other child is a boy? 2 Problem Suppose the network flow size is a normal random variable with parameter -71was GBytes and 2.5 GBytes. What percentage of the flows are greater than 72 GBytes? Suppose flows that are greater than 72 GBytes are clssified as large flows. What percentage of the large flows are greater than 77 GBytes? 3 Problenm Suppose that in a vehicular traffic environment, the distribution of time headway X has the fornm 1. Determine the value of k for which fx(r) is a legitimate pdf. 2. Obtain the cumulative distribution function. 3. Use the cdf from (b) to determine the probability that headway exceeds 2 s and also the probability that headway is between 2 and 3 s

Explanation / Answer

As nothing is said about the other child, it can be either boy and girl, so simply the probability is 1/2 .

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