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in Mathematics by (63.5k points)

In a group of 50 scouts in a camp, 30 are well trained in first aid techniques while the remaining are well trained in hospitality but not in first aid. Two scouts are selected at random from the group. Find the probability distribution of number of selected scouts who are well trained in first aid. Find the mean of the distribution also. Write one more value which is expected from a well trained scout.

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Best answer

Let X be no. of selected scouts who are well trained in first aid. 

Here random variable X may have value 0, 1, 2.

Now probability distribution table is

X 0 1 2
P(X) 38/245 120/245 87/245

Now mean E(X) = ∑pixi = 0 x 38/245 + 1 x 120/245 + 2 x 87/245 = (120 + 174)/245 = 294/245

A well trained scout should be disciplined

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