the number of donuts a 9 year old child eats in a month is between .5 and 4 and

Question

the number of donuts a 9 year old child eats in a month is between .5 and 4 and follows uniform continuous distributon.

a. find the probability that a 9 year old child eats more than 2 donuts.

b. find the probability that a 9 year old child eats more than 2 donuts given that he/she has already eaten more than 1.5 donuts.

c. find the probability that one 9 year old child eats more than 3 donuts and another 9 year old eats less than 1 donut. Please be explicit about any assumptions you make.

d. on average, how many donuts with a 9 year old eat?

Explanation / Answer

Range=4-0.5 3.5 a>probability that a 9 year old child eats more than 2 donuts=(4-2)/3.5 0.571 b> probability that a 9 year old child eats more than 2 donuts given that he/she has already eaten more than 1.5 donuts.=(4-2-1.5)/3.75 0.133 c>probability that one 9 year old child eats more than 3 donuts and another 9 year old eats less than 1 donut.=((4-3)/3.75)*(1/3.75) 0.071 d>on average, how many donuts with a 9 year old eat=(4-0.5)/2 1.75

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