Question

Consider the following scenario:

• Let P(C) = 0.7

• Let P(D) = 0.4

• Let P(C|D) = 0.8

Q1. P(C AND D) =

Q2. Are C and D Mutually Exclusive?

Q3 Are C and D independent events?

Q4. P(D|C) =

Round your answer to two decimal places.

Answer #1

Let A and B be two events such that P(A) = 0.8, P(B) = 0.6 and
P(A B) = 0.4. Which statement is correct?
a.
None of these statements are correct.
b.
Events A and B are independent.
c.
Events A and B are mutually exclusive (disjoint).
d.
Events A and B are both mutually exclusive and independent.
e.
Events A and B are the entire sample space.

Let A and B be events with P (A)= 0.3 and P (B)=0.7, and P (A or
B)=0.9. (a) Compute . (b) Are and mutually exclusive? Explain. (c)
Are and independent? Explain.

You roll two six-sided fair dice.
a. Let A be the event that either a 3 or 4 is rolled first
followed by an odd number.
P(A) = Round your answer to four decimal places.
b. Let B be the event that the sum of the two dice is at most
7.
P(B) = Round your answer to four decimal places.
c. Are A and B mutually exclusive events?
No, they are not Mutually Exclusive
Yes, they are Mutually Exclusive
d....

You roll two six-sided fair dice. a. Let A be the event that the
first die is even and the second is a 2, 3, 4 or 5. P(A) = Round
your answer to four decimal places. b. Let B be the event that the
sum of the two dice is a 7. P(B) = Round your answer to four
decimal places. c. Are A and B mutually exclusive events? No, they
are not Mutually Exclusive Yes, they are Mutually...

Let A and B represent events such that P(A) = 0.6, P(B) = 0.4,
and P(A ∪ B) = 0.76. Compute: (a) P(A ∩ B) (b) P(Ac ∪ B) (c) P(A ∩
Bc ) (d) Are events A and B mutually exclusive? Are they
independent? Explain by citing the definitions of mutual
exclusivity and independence.

Q1) If A and B are mutually exclusive events and P(A) = 0.2 and
P(B) = 0.7, then P(A and B) is
A) .7600
B) .9000
C) .0000
D) .1400
Q2) If A and B are two independent events with P(A) = 0.1535 and
P(B) = 0.6429, then P(A ∪ B) is
A) 0.7964
B) 0.0987
C) 0.3070
D) 0.6977

Given P(A) = 0.7 and P(B) = 0.4 1) If A and B are independent
events, compute P(A and B) - please center your answers in two
decimal places 2) If P(A|B) = 0.1, compute P(A and B) ( THE ANSWERS
ARE NOT 0.28 & 0.04 )

1. Show your work for the following
- If P(A) = 0.7, P(B) = 0.1 and A and B are mutually exclusive,
find P (A or B).
- If P(A) = 0.5, P(B) = 0.4, and P(A or B) = 0.8, are A and B
mutually exclusive?
- If P(B) = 0.6, find P(B^c).
2. Determine whether events A and B are mutually exclusive.
A: Jayden has a math class on Tuesdays at 2:00. B: Jayden has an
English class...

Let A and B be events with P(A) = 0.7, P(B) = 0.9, and P
(A and B) = 0.6.
Compute P (A or B)
Are A and B mutually exclusive? Explain.

1. A and B are independent events, and P(A) = 0.5 and P(B) =
0.8.
Find P(A and B)
2. Suppose that P(A) = 0.3, P(B) = 0.4, and
P(A and B) = 0.12.
a. What is P(A|B)?
b. What is P(B|A)?
c. Are A and B independent
3) Describe in your own words why the following statements
are
correct.
a. Two events cannot be independent if they are already
known to be mutually exclusive
b. Two events cannot be...

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