Question

A candy company packages jelly beans according to the following distribution: ?(3, 0.5^2 ).

a) Draw a sketch for this distribution

b) What percent of candy bags manufactured will weigh between 3.5 to 4.5 grams?

Two playing cards (a King and an Ace) are placed in a box. A card is drawn from the box, its value is recorded, and then the card is put back into the box. The process is then repeated a second time, then a third time.

a) Draw a tree diagram for all possible outcomes of the three draws.

b) Determine the number of outcomes in which a King and 2 Aces (in any order) are drawn from the box.

c) Find the probability that the first, second, and third cards drawn are all the same.

Answer 1

a) A sketch for the distribution X~?(3, 0.5^2 ) is