# stats

you are given the probabilities listed below P(A)= 0.25, P(B) = 0.30, P(C)=0.55, P(A&C) = 0.05, P(B&C)=0, P(B/A)=0.48.

A) ARE A AND B INDEPENDENT?
B) FIND P(A&B)
C) FIND P(A OR B)
D) FIND P(A/B)
E) ARE B AND C MUTUALLY EXCLUSIVE EVENTS?
F) ARE B AND C INDEPENDENT EVENTS?

1. 👍 0
2. 👎 0
3. 👁 254
1. A) A and B are not independent: P(A)*P(B)= 0.25*0.30 = 0.075. This is not equal to P(A and B) = P(B|A)*P(A) = 0.48*0.25 = 0.12.
B) P(A and B) = P(B|A)*P(A) = 0.48*0.25 = 0.12.
C) P(A or B) = P(A) + P(B) - P(A and B) = 0.25 + 0.30 - 0.12 = 0.43

D) P(A|B) = P(A and B)/P(B) = 0.12/0.30 = 0.40
E) B and C are mutually exclusive, because it is given that P(B and C)=0 (Definition of mutual exclusivity.)
F) P(B)*P(C) = 0.30*0.55 = 0.165
P(B and C) = 0
==> The two quantities are not equal, hence B and C are not independent.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### algebra

How do I find the perimeter of a square with one side listed as 4x + 3 and one more side listed as 3(2x - 5)? Thank you

2. ### Statistics

Suppose that in the city in which the survey is conducted, 50% of adults are married, 15% are single, 25% are divorced, and 10% are widowed. a. Assign probabilities to each simple event in the sample space. b. Which approach did

3. ### geometry

Given the following probabilities, for what P(B) are events A and B independent? P(A)=1/2 P(A and B)=1/6 1/4 1/8 3/4 1/3

4. ### Health (Ms. Sue)

What types of stress cases do you think workers experience in the job industries listed? (The job industries listed are services, manufacturing, retail trade, and fiance industries.)

1. ### statistics

A professional gambler claims that he has loaded a die so that the outcomes of 1,2,3,4,5,6 have corrresponding probabilities of 0.1, 0.2, 0.3, 0.4, 0.5, and 0.6. Can he actually do what he has claimed? Is a probablility distrubion

2. ### statistics

Nine students took the SAT. Their scores are listed below. Later on, they read a book on test preparation and retook the SAT. Their new scores are listed below. Construct a 95% confidence interval for ยต d (the true mean

3. ### posibility

One problem encountered by developers of the space shuttle program is air pollution in the area surronding the launch site. Acertain direction from the launch site is considered critical in terms of hydrogen chloride pollution

4. ### Math

Jen figures she has a 70% chance of passing math and an 80% chance of passing history a) What is the probability that she passes math and history? What assumption did you have to make to answer this question? b) What is the

1. ### math

you need exactly A 1680 ft3 aquarium for you fish. at the pet store you see four chices of aquariums, but the volume is not listed. the length, width, and height are listed on the box. which of the following aquarioums would fit

2. ### statistics

Hello!! A survey indicates that for each trip to the supermarket, a shopper spends an average of 45 minutes with a standard deviation of 12 minutes in the store.the length is normally distributed and represented by variable x. a.A

3. ### mat117

Explain three rules for exponents listed in the chart on p. 239 (section 4.2). Do not explain the first two definitions listed in the table (Exponent of 1 or 0). Create an expression for your classmates to solve that uses

4. ### Math

Can someone please help me. A single card is selected from a standard 52-card deck. B= the drawn card is black; R= the drawn card is red; Q= the drawn card is a queen; F= the drawn card is a face card ( a king, queen or jack).