A stockroom clerk returns three safety helmets at random to three steel mill employees who had previously checked them. If Smith, Jones and Brown, in that order, receive one of the three hats. Find the probability distribution of the random variable that represents the number of correct matches.
ans:
Let H1, H2, and H3 denote three helmets. The correct match is H1 for Smith; that is on first place, H2 for Jones; that s for second place and H3 in third place. Image:
Based on the above table, the probability distribution of the number of matches can be deduced as: Image:
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