1. Two businessmen agree to meet for lunch between 12 and 1. They are not surethey will be able to make it, so they both agree that the first person to arrive willwait for 15 minutes to see if the other person shows up. After 15 minutes, the firstperson to arrive will leave if the other person is not there. What is the probabilitythat the two businessmen will have lunch together? 2.A coin is weighted so that heads (H) is twice as likely to appear as tails(T). FindP(T) and P(H) 3.Suppose A and B are events such that P(A) = 0.6, P(B) = 0.3, and P(A∩B) = 0.2.Find the probability that(a) A does not occur(b) A or B occurs(c) neither A nor B occurs 4.Suppose p(A) = p. The odds that A occurs is a to b. Write a formula for p Please be as detailed as possible even with the fractions. Thank you!
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.
1. Two businessmen agree to meet for lunch between 12 and 1. They are not sure
they will be able to make it, so they both agree that the first person to arrive will
wait for 15 minutes to see if the other person shows up. After 15 minutes, the first
person to arrive will leave if the other person is not there. What is the
that the two businessmen will have lunch together?
2.A coin is weighted so that heads (H) is twice as likely to appear as tails(T). Find
P(T) and P(H)
3.Suppose A and B are
Find the probability that
(a) A does not occur
(b) A or B occurs
(c) neither A nor B occurs
4.Suppose p(A) = p. The odds that A occurs is a to b. Write a formula for p
Please be as detailed as possible even with the fractions. Thank you!
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