Three fair coins are tossed and either heads or tails is observed for each coin. Events A and B are defined as follows.
A: Three heads are observed.
B: Exactly two heads are observed.
Is P(A B) equal to the sum of P(A) and P(B)? Explain.
Q. 2Mamma Temte bakes six pies each day at a cost of 2 each. On 39 of the days she sells only two pies. On 32 of the days, she sells 4 pies, and on the remaining 29 of the days, she sells all six pies.
If Mama Temte sells her pies for 6 each, what is her expected profit for a day's worth of pies? Assume that any leftover pies are given away.
A) -6.00 B) 10.80 C) -8.20 D) 22.80
Q. 3A pair of fair dice is tossed. Events A and B are defined as follows.
A: The two numbers rolled are different
B: At least one of the numbers is greater than 2
Are the events A and B mutually exclusive? Explain.
What will be an ideal response?
Q. 4Consider the given discrete probability distribution. Find P(x < 2 or x > 3).
x 1 2 3 4 5
p(x) .1 .2 .2 .3 .2
Q. 5Consider the given discrete probability distribution. Find P(x 4).
x 0 1 2 3 4 5
p(x) .30 .25 .20 .15 .05 .05
A) .10 B) .05 C) .95 D) .90
Q. 6A pair of fair dice is tossed. Events A and B are defined as follows.
A: The sum of the numbers on the dice is 3
B: At least one of the dice shows a 2
True or False: A B = B.
A) True B) False
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