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Question
Suppose the amount of milk sold daily at a milk booth is distributed with a minimum of 200 litres and a maximum of 600 litres with probability density function
`f(x) = {{:(k, 200 ≤ x ≤ 600),(0, "otherwise"):}`
Find the probability that daily sales will fall between 300 litres and 500 litres?
Solution
P(300 < x < 500)= `int_300^500 f(x) "d"x`
= `k[x]_300^500`
= `1/400 xx 200`
= `1/2`
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