1. Your sock drawer contains eight blue socks and five tan socks. It\'s dark whe

Question

1. Your sock drawer contains eight blue socks and five tan socks. It's dark when you randomly select two socks from the drawer, one after the other (a) (b) (c) Find the sample space. Find the probability associated with each member of the sample space. Find the values of the random variable X, where X represents the number of blue socks selected. Find the probability distribution of X. (d) 2. The probability distribution of X is given by 813 21 34 55 89 0.58 0.12 0.15 008 0.01 0.06 Construct the cumulative distribution function of X

Explanation / Answer

1) Sample space is Blue Blue, Blue Tan, Tan Blue

BB - 8C2/13C2 = 28/78

BT = 8*5/13C2=40/78

TT=5C2/13C2=10/78

3) X = (0,1,2)

P(X=0)=TT=10/78

P(x=1)=BT=40/78

P(x-2)=BB=28/78

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