Question

(a) State what it means for two events A and B to be “mutually exclusive”. (b)...

  1. (a) State what it means for two events A and B to be “mutually exclusive”.

  2. (b) Ian believes that the probability he will get a Credit in Statistics is 0.7, and the probability he will get a Credit in Accounting is 0.5. These events are independent. What is the probability that Ian will get a Credit in at least one of these two subjects?

  3. (c) Out of all the applicants for a particular job: half are female and half are male. One quarter of the applicants are under 60 years of age, and they are all female. An applicant is chosen at random.

    1. (i) What is the probability that they are over 60 and female?

    2. (ii) Given that they are over 60, what is the probability that they are female?

Homework Answers

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
What is meant by two mutually exclusive events? Give one example of two mutually exclusive events...
What is meant by two mutually exclusive events? Give one example of two mutually exclusive events and another example of two mutually nonexclusive events.
Q1) If A and B are mutually exclusive events and P(A) = 0.2 and P(B) =...
Q1) If A and B are mutually exclusive events and P(A) = 0.2 and P(B) = 0.7, then P(A and B) is A) .7600 B) .9000 C) .0000 D) .1400 Q2) If A and B are two independent events with P(A) = 0.1535 and P(B) = 0.6429, then P(A ∪ B) is A) 0.7964 B) 0.0987 C) 0.3070 D) 0.6977
Does the compound event consist of two mutually exclusive events? Two dice are rolled. The sum...
Does the compound event consist of two mutually exclusive events? Two dice are rolled. The sum of the dice is a 4 or a 9. . Compute the probability of the compound event occurring.
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?...
A if two events are mutually exclusive, then their interexction probability will be freater than zero...
A if two events are mutually exclusive, then their interexction probability will be freater than zero B For the standard normal probaility distribution, the area to the left of the mean is greater than 0.5 C as the number of degrees of freedom in a t distribution increases, the difference between the T distribution and the standard normal distribution becomes smaller This 3 statement is true or false
In Mr. ERIZ’s class, the probability of student who likes Mathematics subject is 0.5 and the...
In Mr. ERIZ’s class, the probability of student who likes Mathematics subject is 0.5 and the probability who likes both Mathematics and Statistics subjects is 0.25. If one student is chosen at random, what is the probability that this student likes Statistics given that he/she also like Mathematics subject? If the probability of students who likes Statistics is 0.45, are the events ‘like Mathematics subject’ and ‘like Statistics subject’ independent? Justify your answer. (4 marks) Are the events ‘likes Mathematics’...
Events Y and Z are mutually exclusive. P(Y) = 5/8,  P(Z) = 1/16 . What is the...
Events Y and Z are mutually exclusive. P(Y) = 5/8,  P(Z) = 1/16 . What is the probability that either Y or Z will occur? Show your work.
What are the two basic rules of probability? Relate these rules to the concepts of mutually...
What are the two basic rules of probability? Relate these rules to the concepts of mutually exclusive events and independent events.
Consider the following two mutually exclusive projects:                                  
Consider the following two mutually exclusive projects:                                                               Cash Flows ($ millions)                Project                C0                    C1                    C2                    C3                     A                  –200                +110                +120                      0                     B                  –200                      0                      0                +250 A. Calculate IRR for A, IRR for B, and the cross-over rate of the two projects. B. What is the range of the discount rate (to calculate NPV) that A should be chosen; and what is the range of the discount rate that B should be chosen? (Note: show your work and describe how you determined the ranges)
MC0402: Suppose there are two events, A and B. The probability of event A is P(A)...
MC0402: Suppose there are two events, A and B. The probability of event A is P(A) = 0.3. The probability of event B is P(B) = 0.4. The probability of event A and B (both occurring) is P(A and B) = 0. Events A and B are: a. 40% b. 44% c. 56% d. 60% e. None of these a. Complementary events b. The entire sample space c. Independent events d. Mutually exclusive events e. None of these MC0802: Functional...