If a worker is required to meet a minimum height and minimum weight for employment ,...
If a worker is required to meet a minimum height and minimum weight for employment , with pheight probability for minimum height and pweight probabilty for minimum weight. If a person is selected at random Is the probabilty of meeting both just pheight*pweight ?? (Assume independent )
Homework Answers
Let X be the Height and Y be the weight. Let x and y be the minimum values for height and weight respectively required for employment. If pheight and pweight are the probabilities such that
P[X>=x]=pheight and P[Y>=y]=pweight then Probability of selection is given as,
P[X>=x, Y>=y]=P[X>=x]*P[Y>=y].... (X and Y are independent)
=pheight*pweight
Hence the probability of selection idls pheight*pweight.
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