Probability and Discrete Random Variable Exercise 1. WVU football team has two g

Question

Probability and Discrete Random Variable Exercise 1. WVU football team has two games ahead. Javad predicts that the WVU football team has o.6 winning chance in first game. If they win the first game the chance of winning second game is o 7 and if they lose the first game the chance of winning the second game is o.5. Find the following probabilities: a) WVU wins both games. b) WVU wins the first game but loose the second game. c) WVU loose given it won the first game. 2. Show that mutual exclusive evens are not necessarily independent. Cshow an example) 3. A computer sends a packet of information along a channel and waits for a return signal acknowledging that the packet has been received. If no acknowledgement is received within a certain time, the packet is re-sent. Let x presents the number of times that the package is sent. Assume that the probability mass function of X is given by for x 1,2,3,4 or 5 otherwise a. Find the value of constant c so that pog is probability mass function. b. Find cumulative distribution function of x.

Explanation / Answer

4 answer

a)102/750=0.136

b)102/340 =0.3

c)p(small+white)=p(small)+p(White)-P(small and white)

   =340/750 + 214/750 -102/750

   =0.4533+0.2853-0.136

   =0.6026

d) yes independent   

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