The chocolate house specializes in hand-dipped chocolates for special occasions. three employees do all of the product packaging. clerk 1 packs 33% of the chocolate boxes, clerk 2 packs 23% of the chocolate boxes, and clerk 3 packs 44% of the chocolate boxes. sometimes defective chocolates are packaged in the boxes. if clerk 1 does the packing, the defective box rate is 2%. if clerk 2 does the packing, the defective box rate is 2.5%. if clerk 3 does the packing, the defective box rate is 1.5%.

use a probability tree to answer the following questions:

(round all intermediate and final calculations to four decimals)

a) what's probability that a randomly selected box of chocolates was packed by clerk 2 and does not contain any defective chocolate?

b) what is the probability that a randomly selected box contains defective chocolate?

c) suppose a randomly selected box of chocolates is defective. what is the probability that it was packaged by clerk 3?

Step-by-step explanation:

given that the Chocolate House specializes in hand-dipped chocolates for special occasions. Three employees do all of the product packaging

Clerk          I           II           III    total

Pack      0.33          0.23    0.441

Defective0.020.025    0.015  

Pack&def0.00660.005750.00660.01895

a)  probability that a randomly selected box of chocolates was packed by Clerk 2 and does not contain any defective chocolate

= P(II clerk) -P(II clerk and defective) =

b) the probability that a randomly selected box contains defective chocolate=P(I and def)+P(ii and def)+P(iiiand def)

=0.01895

c) Suppose a randomly selected box of chocolates is defective. The probability that it was packaged by Clerk 3

=P(clerk 3 and def)/P(defective)

=

3

step-by-step explanation:

divide 13.5 by 9 to get the scale factor. it equals 1.5

2 * 1.5 = 3

dont't really have enough info here but its likely

sss for the three sides being congruent ( its stands for side side side)

or

sas   for side angle side.   so a side is congruent and and angle and a side