Question

What is P(C|D), given P(D|C) = 0.1, P(C) = 0.2, P(D|E) = 0.25, P(E) = 0.5, P(D|F) =0.75, and P(F) = 0.5, where E and F are mutually exclusive and exhaustive events(either E happens or F happens, and one of the two must happen)

Answer #1

a. Suppose that A and B are two events with P(A)=0.1, P(B)=0.2,
and P(A|B)=0.4. What is P(A ∪ B)? 10.
b. Suppose that F and G are two events with P(F)=0.1, P(G)=0.3,
and P(G|F)=0.5. What is P(F ∪ G)?

If P(E) = 0.32 and P(F) = 0.25:
a.) Find P (E or F) if E and F are mutually exclusive.
b.) Find P (E and F) if E and F are independent.

There are 4 probabilities of an event occurring: P(A) = 0.5,
P(B)= 0.1, P(C) = 0.3 and P(D) = 0.1. Given A, P(T) = 0.3, given B,
P(T) = 0.8, given C, P(T) = 0.2, and given D, P(T) =0.5. If event T
occurs, what is the probability that event A or C happened?

Let P(A) = 0.1, P(B) = 0.2, P(C) = 0.3 and P(D) = 0.4;
A, B, C, D – independent events. Compute P{(A∪B)∩ (Cc ∪
Dc }.
Step by step solution.

suppose events A and B are such that p(A)=0.25,P(B)
=0.3 and P(B|A)= 0.5
i) compute P(AnB) and P(AuB)
ii) Are events A and B independent?
iii) Are events A and B mutually exclusive?
b)if P(A)=0.6, P(B)= 0.15 and P(B|A')=0.25, find the following
probabilities
I)P(B|A), P(A|B),P(AuB)

State, with evidence, whether each of the following
statements is true or false:
a. The probability of the union of two events cannot
be less than the probability of their intersection.
b. The probability of the union of two events cannot
be more than the sum of their individual
probabilities.
c. The probability of the intersection of two events
cannot be greater than either of their individual
probabilities.
d. An event and its complement are mutually exclusive.
e. The individual...

E and F be any experiments with their probabilities as p(E) =
0.73 and P(F) = 0.58
1. the two given experiments are mutually exclusive, find p(E or
F)
2. If the two given experiments are not mutually exclusive and
p(E&F)= 0.45 , find p(E U F).
Please provide with all steps TIA

Given the function f(x, y) = e^(x)*sin(y) + e^(y)*sin(x)
approximate f(0.1, -0.2) using P(0, 0).

A given phenomenon has three events A,B, and C whose
probabilities are given as 0.32, 0.23, and 0.11 respectively
a. What are the values of P(A and B), P(B and C), and P(C and A)
if all three events A, B, and C are mutually exclusive
b. What are the values of P(A and B), P(B and C), and P(C and A)
if all three events A, B, and C are independent of one another
c. What are the values...

(For questions 1-4)
P(windows) = 0.5 P(macOS) = 0.2 P(Linux) = 0.2 P(other) =
0.1
1. If there are 800 total systems, how many of them are running
the Linux operating system?
2. What is the probability that a system is NOT running
MacOS?
3. A small organization has 200 systems but is only able to
patch Microsoft operating systems automatically. How many unpatched
Linux systems does the organization need to manually update?
(For questions 4-5) P(vulnerability 1) = 0.4...

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