You are given the information that P(A) = 0.30 and P(B) = 0.40. (a) Do you have enough information to compute P(A or B)? Explain. No. You need to know the value of P(A) + P(B).No. You need to know the value of P(A and B). Yes. This probability is equal to 0.70.No. You need to know the value of P(A) - P(B). (b) If you know that events A and B are mutually exclusive, do you have enough information to compute P(A or B)? Explain. Yes. P(A and B) = 0.12, so P(A or B) = P(A) + P(B) - 0.12.Yes. P(A and B) = 0, so P(A or B) = P(B) - P(A). No. Knowing the events are mutually exclusive does not provide any extra information.Yes. P(A and B) = 0, so P(A or B) = P(A) + P(B).
You are given the information that P(A) = 0.30 and P(B) = 0.40. (a) Do you have enough information to compute P(A or B)? Explain. No. You need to know the value of P(A) + P(B).No. You need to know the value of P(A and B). Yes. This probability is equal to 0.70.No. You need to know the value of P(A) - P(B). (b) If you know that events A and B are mutually exclusive, do you have enough information to compute P(A or B)? Explain. Yes. P(A and B) = 0.12, so P(A or B) = P(A) + P(B) - 0.12.Yes. P(A and B) = 0, so P(A or B) = P(B) - P(A). No. Knowing the events are mutually exclusive does not provide any extra information.Yes. P(A and B) = 0, so P(A or B) = P(A) + P(B).
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 48SE: For the following exercises, use this scenario: a bag of M&Ms contains 12 blue, 6 brown, 10 orange,...
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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You are given the information that P(A) = 0.30 and P(B) = 0.40.
(a) Do you have enough information to compute P(A or B)? Explain.
(b) If you know that events A and B are mutually exclusive, do you have enough information to compute P(A or B)? Explain.
No. You need to know the value of P(A) + P(B).No. You need to know the value of P(A and B). Yes. This probability is equal to 0.70.No. You need to know the value of P(A) - P(B).
(b) If you know that events A and B are mutually exclusive, do you have enough information to compute P(A or B)? Explain.
Yes. P(A and B) = 0.12, so P(A or B) = P(A) + P(B) - 0.12.Yes. P(A and B) = 0, so P(A or B) = P(B) - P(A). No. Knowing the events are mutually exclusive does not provide any extra information.Yes. P(A and B) = 0, so P(A or B) = P(A) + P(B).
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