Question

. Suppose that the probability of event A is 0.4 and the probability of event B is 0.5. What is P A B ( ) ? if A and B are mutually exclusive? What is P A B ( ) ? if A and B are independent?

Answer #1

Given that, P(A) = 0.4 and P(B) = 0.5

i) If event A and event B are mutually exclusive then their intersection is null and probability of their intersection is zero.

That is ,

and

ii) If event A and B are independent events then,

and

Event A occurs with probability 0.6. Event B occurs with
probability 0.4. If A and B are disjoint (mutually exclusive),
then:
A.
P(A and B) = 0.24
B.
P(A or B) = 1.0
C.
P(A and B) = 1.0
D.
P(A or B) = 0.24

If the probability that event A occurs is0.51,the probability
that event B occurs is 0.64 and that probability that both A and B
occur is 0.23 then:
1. events A and B are complementary
2. events A and B are mutually exclusive
3. events A and B are not mutually exclusive
4. events A and B are statistically independent

Event A and B are mutually exclusive. Suppose event A occurs with
probability 0.27 and event B occurs with probability 0.53. please
show me how to do it. a) computer the probability that B occurs or
A does not occur (or both). b) compuute the probabilitythat B occur
without A occuring or A and Bboth occur

Events A and B are mutually exclusive. Suppose event A occurs
with probability 0.57 and event B occurs with probability 0.12.
Compute the probability that A does not occur or B does not occur
(or both). Compute the probability that neither the event A nor the
event B occurs. (If necessary, consult a list of formulas.)

Events A and B are mutually exclusive. Suppose event A occurs
with probability 0.82 and event B occurs with probability 0.03.
Compute the probability that A occurs or B does not occur (or
both). Compute the probability that either A occurs without B
occurring or A and B both occur.

Which of the following statements is false? Briefly explain your
answer.
(A) If the probability of A is 0.6 and the probability of B is
0.5, then A and B cannot be mutually exclusive.
(B) If the probability of A is 0.4 and the probability of B is
0.6, and if A and B are independent, then P(A and B) must be equal
to 0.24.
(C) If P(A) = 0.3, P(B) = 0.6, and P(A or B) = 0.72, then...

MC0402: Suppose there are two events, A and B.
The probability of event A is P(A) = 0.3.
The probability of event B is P(B) = 0.4.
The probability of event A and B (both occurring) is P(A and B)
= 0.
Events A and B are:
a.
40%
b.
44%
c.
56%
d.
60%
e.
None of these
a.
Complementary events
b.
The entire sample space
c.
Independent events
d.
Mutually exclusive events
e.
None of these
MC0802: Functional...

For each situation, determine if events A, B are independent.
Explain.
P(A | B) = 0.4,
P(B) = 0.8, and P(A) =
0.5
P(A | B) = 0.3,
P(B) = 0.8, and P(A) =
0.3
P(A) = 0.2, P(B) =
0.2, and A and B are mutually
exclusive

Events A and B are independent. Suppose event A occurs with
probability .10 and event B occurs with probability .65 . Compute
the probability that neither the event A nor B the event occurs.
Compute the probability that A occurs or B does not occur (or
both).

Suppose P(A) = 0.60, P(B) = 0.85, and A and B are independent. The
probability of the complement of the event (A and B) is
(a) 0.4 x 0.15 = 0.060
(b) 0.4 + 0.15 0.060
(c) 1-(0.40 + 0.15) = 0.45
(d) 1- (0.6 x 0.85) = 0.490

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