Question

1. Show your work for the following - If P(A) = 0.7, P(B) = 0.1 and...

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 on Tuesdays at 2:00.

3. In a statistics class of 30 students, there were 13 men and 17 women. Two of the men and three of

the women received an A in the course. A student is chosen at random from the class.

a. Find the probability that the student is a woman.

b. Find the probability that the student received an A.

c. Find the probability that the student is a woman or received an A.

d. Find the probability that the student did not receive an A.

Homework Answers

Answer #1

1.a) If A and B are mutually exclusive, P(A or B) = P(A) + P(B)

= 0.7 + 0.1

= 0.8

b) P(A) + P(B) = 0.5 + 0.4 = 0.9

P(A or B) = 0.8

P(A or B) P(A) + P(B)

So, A and B are not mutually exclusive

c) P(Bc) = 1 - P(B)

= 1 - 0.6

= 0.4

2. Both events cannot occur at the same time. So, the events are mutually exclusive.

3. a) P(woman) = 17/30

b) P(received an A) = 5/30

= 1/6

c) P(woman or received an A) = (17 + 5 - 3)/30

= 19/30

d) P(student did not receive an A) = (30-5)/30

= 5/6

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let A and B be events with P(A) = 0.7, P(B) = 0.9, and P (A...
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.
Let A and B be two events such that P(A) = 0.8, P(B) = 0.6 and...
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.
Consider the following scenario: • Let P(C) = 0.7 • Let P(D) = 0.4 • Let...
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.
Given P(A) = 0.7 and P(B) = 0.4 1) If A and B are independent events,...
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 )
Which of the following statements is false? Briefly explain your answer. (A) If the probability of...
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...
Consider two events, A and B, of a sample space such that P(A) = P(B) =...
Consider two events, A and B, of a sample space such that P(A) = P(B) = 0.7 a).Is it possible that the events A and B are mutually exclusive? Explain. b).If the events A and B are independent, find the probability that the two events occur together. c).If A and B are independent, find the probability that at least one of the two events will occur. d).Suppose P(B|A) = 0.5, in this case are A and B independent or dependent?...
Consider the following probability distribution: xi= 0, 1, 2, 3 P(X=xi)= 0.1, 0.1, 0.1, 0.7 The...
Consider the following probability distribution: xi= 0, 1, 2, 3 P(X=xi)= 0.1, 0.1, 0.1, 0.7 The expected value and standard deviation is?
1. Define PS to be the event that a college student owns a Playstation 4, and...
1. Define PS to be the event that a college student owns a Playstation 4, and X to be the event that a college student owns an Xbox One.We know P( PS) = 0.7 and P(X) = 0.4. Are the events PS and X Mutually Exclusive(disjoint)? a) Yes b) No 2. We also know P( PS|X) = 0.75. Find the probability a college student owns both a Playstation 4 and an Xbox One. Recall that P( PS ) = 0.7...
1. Answer the following a. If A and B are independent events, then P(A and B)...
1. Answer the following a. If A and B are independent events, then P(A and B) = P(A)P(B). True or false? b. Let A, B and C be independent events with P(A) = 0.7, P(B) = 0.8, P(CC) = 0.5. Find P(A and B and C) c. Compute the mean and standard deviation of the random variable with the given discrete probability distribution: X     P(X) -3     0.10 0      0.17 1      0.56 3     0.17
There are 120 students registered in a class. Of these 120 students, 52 are Business students...
There are 120 students registered in a class. Of these 120 students, 52 are Business students (the remaining students belong to some other faculty). Moreover, 71 students are classified as 1st-Year students and 20 are 1st-Year students and who are not Business students. You are to randomly choose one student from the 120 in your lecture section. Let HS represent the event that the chosen student is a Business-student, and 1st represent the event that this chosen student is a...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT