3. (20 points) Let A, B, and C be 3 events with probabilities given in the...

Question

Question

math Statistics-And-Probability

Answer 1

Answer #1

Please don't hesitate to give a "thumbs up" in case you're satisfied with the answer.
P(A|Bc intersection C)

P(A|Bc Intersection C) = P(A int Bc int C) / P(Bc int C) [this is the formula : P( X|Y) = P(X intersection Y)/ P(Y)]

The common area between A and Bc and C = .10

The common area between Bc and C = .30

P(A|Bc Intersection C) = P(A int Bc int C) / P(Bc int C)

= .1 / .1+.2

= 1/3

Answer 2

Similar Homework Help Questions

Let A and B be events with probabilities P(A)-3/4 and P(B)-1/3 (a) Show that 12 3'...

Let A and B be events with probabilities P(A)-3/4 and P(B)-1/3 (a) Show that 12 3' (b) Let P(AnB) - find PA n Bc).
A 0.2 В 0.5 0.1 Given the events A and B above, find the following probabilities...

A 0.2 В 0.5 0.1 Given the events A and B above, find the following probabilities P(A and B) P(A or B) P(A | B) P(B | A) = P( not A and B) = P(A and not B) Are events A and B independent (yes Explain why or why not or no) Are events A and B independent (yes Explain why or why not or no) GRB 5/5/2019 Math 121 Final Spring 2019
Let and B be events in a sample space S, and let C = S -...

Let and B be events in a sample space S, and let C = S - (AUB). Suppose P(A) = 0.8, P(B) = 0.2, and P(An B) = 0.1. Find each of the following. (a) P(AUB) (b) P(C) (c) PAS (d) PLAC BC) (e) PLACUBS (1) P(BCnc)

Question#3 20 Points Let Y has the density function which is given below: 0.2 -kyS0 f(v)...

Question#3 20 Points Let Y has the density function which is given below: 0.2 -kyS0 f(v) 0.2 + cy 0 0<p 1 otherwise (a) Find the value of c. (b) Find the cumulative distribution function F(y). (c) Use F(y) in part b to find F(-1), F(0), F(1) (d) Find P(0sYs0.5) (e) Find mean and variance of Y d X1 amd 2 aild ate subarea of a fixed size, a reasonable model for (X1, X2) is given by 1 0sx1 S...
Problem 3: Conditional Probabilities Let A and B be events. Show that P(An B | B)...

Problem 3: Conditional Probabilities Let A and B be events. Show that P(An B | B) = P(A | B), assuming P(B) > 0.
Given events A and B, (a) let C be the event that A will occur and...

Given events A and B, (a) let C be the event that A will occur and B will not occur. Express C in terms of A and B. Let D be the event that B will occur and A will not occur. Express D in terms of A and B. (b) let E be the event that exactly one of the events A or B will occur. Express E in terms of A and B. (c) Use the result in...

Question 1 The probabilities of events A and B are 0.5 and 0.1, respectively. The probability that...

Question 1 The probabilities of events A and B are 0.5 and 0.1, respectively. The probability that both A and B occur is 0.20. What is the probability of either A or B occuring? a. 0.40 b. 0.1 c. 0.50 d. 0.60
Problem 2. Suppose the sample space S consists of the four points and the associated probabilities...

Problem 2. Suppose the sample space S consists of the four points and the associated probabilities over the events are given by P(cu 1)-0.2, P(ω2)-0.3, P(ag)-0.1, P(04)-0.4 Define the random variable X1 by and the random variable X2 by X2(2) 5, (a) Find the probability distribution of X1 (b) Find the probability distribution of the random variable X1 +X2 Problem 3. The random variable X has density function f given by 0, elsewhere (a) Assuming that 0.8, determine K (b)...
2. Given events A and B (a) let C be the event that A will occur...

2. Given events A and B (a) let C be the event that A will occur and B will not occur. Express C in terms of A and B. Let D be the event that B will occur and A wil not occur. Express D in terms of A and B (b) let E be the event that exactly one of the events A or B will occur. Express E in terms (c) Use the result in (a) to find...

1) Let A, B and C be three events with P(A) = 94%, P(B) = 11%,...

1) Let A, B and C be three events with P(A) = 94%, P(B) = 11%, and P(C) = 4%. Answer the following questions if B and C are disjoint and P(ANC) = 3%, and P(ANB) = 8%. a. Fill the Venn diagram with probabilities of each area. Find the probability that event C does not happen on its own? (That is, either C does not happen, or it happens with other events.) c. Find the probability that at least...