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in Probability Distributions by (49.3k points)
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Four defective oranges are accidentally mixed with sixteen good ones. Two oranges are drawn at random from the mixed lot. If the random variable ‘X’ denotes the number of defective oranges, then find the values of ‘X’ and number of points in its inverse image.

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Number of good oranges = 16 

Number of bad oranges = 4 

Total = 20 

Let ‘X’ be the random variable denotes the number of bad oranges and it can take the values 0, 1, 2 

X (GG) = 0 

X (GB (or) BG) = 1 

X (BB) = 2

Values of X  0 1 2 Total
Number of elements in inverse images 1 2 1 4

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