Question: Consider two events A and B, where P(A) = 0.4 and P(B) = 0.2.If A and B are independent, what is P(A|B), P(AB), and P(AB)?

Consider two events A and B, where P(A) = 0.4 and P(B) = 0.2.If A and B are independent, what is P(A|B), P(AB), and P(AB)? If P(A|B) = .6, then are A and B independent? Find P(AB) and P(B|A).

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Richard Ellis, the director of cost operations of Ontario Micro Devices, wishes to develop an accurate cost function to explain and predict support costs in the companys printed circuit board...

Social Norms and Private Actions: When asked to explain our actions, we sometimes simply respond by saying it was the right thing to do. The concept of the right thing to do is one that is often...

Examine the relationship between independent, dependent, and mutually exclusive events. Consider two events A and B that are mutually exclusive such that P1A2 0. a. Calculate P1AB2. b. What does...

Examine the relationship between independent, dependent, and mutually exclusive events. Consider two events A and B that are mutually exclusive such that P(A) at 0. 2. Calculate P(A|B). b. What does...

Question 1 (Multiple Choice Worth 7 points) (07.01) In a city school of 900 students, 30% of the students are on the honor roll, 70% have a part-time job, and 25% are on the honor roll and have a...

Math 30-2 Unit 4: Probability Lesson 4: Independent-Dependent Events I need solutions for these questions please. their will be a answer key after the questions below that my teacher gave it to me....

Consider a die with 20 sides.This shape is called an icosahedron.Suppose that the sides are numbers 1 to 20.Also suppose that the die is fair. A-1). How many unique outcomes are possible on a single...

how do you solve these please help It can be very difficult to break into the music industry, but after having a breakout piece or two, it can be much easier to stay relevant. Suppose the number of...

State whether the following statements are true or false. QUESTION 1 Consider tossing a die and let S denote the set of all possible numerical observations for a single . . 2 toss of a die. Suppose A...

Please clearly label each answer with the according letter thank you (3) [H] (30 points) Determine whether each of the following 15 statements is true or false (write T or F beside each statement)....

Question 4 1 pts If A and B are mutually exclusive, which of the following statements is necessarily true? I. A U B must be the impossible event (i.e., empty). Il. An B must be the impossible event...

Consider the system shown in figure(a) Determine its impulse response h(n).(b) Shown that h(n) is equal to the convolution of the following signals.h1(n) = ?(n) + ?(n - 1)h2(n) = (1/2)n u (n) x(n)...

On-line Learning Corporation obtained a charter at the start of 2011 that authorized 52,000 shares of nopar common stock and 23,000 shares of preferred stock, par value $10. The corporation was...

Exercise 2.38 The x86 instruction set includes the REP prefi x that causes the instruction to be repeated a given number of times or until a condition is satisfi ed. The fi rst three problems in this...

Julian Birkinshaw, James Manktelow, Vittorio DAmato, Elena Tosca, and Francesca Macchi In recent years, one of the most profound transformations in the workplace has been the increase in age...