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!

Q: 60% of all students at a college still need to take another math class. If 4 students are randomly…

A: Givenp=0.60n=4x~Binomial(n=4,p=0.60)P(X=x)=(nx)×px×(1-p)n-x ; x=0,1...,n

Q: 1. Mayank plays exactly one sport everyday. It can be football or basketball or chess. For him, the…

A: Let us denote the event of playing chess by C, the event of playing football by F and the event of…

Q: 24. Among 300 elementary school students, 258 said they like chocolate ice cream, 142 like vanilla…

A: Given that: The total number of students is 300. 258 like chocolate ice cream. 142 like vanilla ice…

Q: 2. A researcher tossed a 1000 times and used the number of Heads to conclude that Pr(Head) = 0.5.…

A: Given:  A researcher tossed a coin 1000 times and used the number of heads to conclude that…

Q: Hiro has a 1/7 probability of winning each time he plays a certain game at a carnival. If Hiro plays…

A:

Q: Find the probability that exactly one head appears in two flips of a fair coin.   A. P(H) = 1/2…

A: If we tosses two coins the the total number of outcomes or sample space (S) is,  S = { HH, HT, TH,…

Q: If A and B are mutually exclusive and the P(A) = 0.3 and P(B) = 0.4. %3D Find the probability of A…

A: We have given that,  P(A) = 0.3 and P(B) = 0.4 Then,  We will find the probability of A and B if the…

Q: The probability of John going to the movies today is 0.7. The probability of Sam going to the movies…

A: Answer:- The probability of John going to the movies today is P(J) =  0.7               The…

Q: Suppose you found the number the probability of women meeting the height requirement to be .3526 and…

A: Solution-: We have The probability of women meeting the height requirement to be 0.3526=35.26% The…

Q: You throw two dice. One of the many possible outcomes that may occur is that you get a six on each…

A: let number of throws are x. probability of double six =1-P(no outcome is double six)

Q: On a December day, the probability of snow is .30. The probability of a "cold" day is .50. The…

A: Given  On a December day, the probability of snow is .30. The probability of a "cold" day is .50.…

Q: Exactly 2 of them need to take another math class.  b. At most 2 of them need to take another math…

A: Given that  n = 5 , p = 71% = 0.71 , q = 1 - p = 1 - 0.71 = 0.29 X ~ Binomial (n = 5 , p = 0.71) X:…

Q: The Cardinals have a 0.44 probability of getting to the World Series. If the Cardinals are their…

A:

Q: Two dice are rolled. Find the probability of each of the following (Round answers to three decimal…

A:

Q: Lucas plays basketball. He makes free throw shots 68% of the time. Lucas must now attempt two free…

A: The probability that Lucas makes free throw shot is 0.68. Since, the two free throws are independent…

Q: Find the probability of matching three of the four winning numbers. (ROUND YOUR ANSWER TO 8 DECIMAL…

A:

Q: 1. The probability that Thomas passes mathematics is 0.45; biology 0.6 and both 0.15. Determine the…

A:

Q: There are two bags containing several colored balls. The bag B1 contains 13 red balls, 18 blue…

A:

Q: Assume that male and female births are equally likely and that the birth of any child does not…

A: Here the given information is Assume that male and female births are equally likely and that the…

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.