An experiment consists of first rolling a die and then tossing a coin.   a. List the sample space.   b. Let A be the event that either a three or a four is rolled first, followed by landing a head on the coin toss. Find P(A). (Enter your probability as a fraction.) P(A) = c. Suppose that a new experiment consists of first rolling a die and then tossing a coin twice. Let B be the event that the first and second coin tosses land on heads. Let C be the event that either a three or a four is rolled first, followed by landing a head on the first coin toss. Are the events B and C mutually exclusive? Explain your answer.   a. Events B and C are mutually exclusive because they have different probabilities. b. Events B and C are mutually exclusive because the first and second coin tosses cannot land on heads when a three or four is rolled first.     c. Events B and C are not mutually exclusive because the first and second coin tosses can land on heads when a three or four is rolled first. d. Events B and C are mutually exclusive because they are dependent events.

Q: A large fast-food restaurant is having a promotional game where game pieces can be found on various…

A: As per our guidelines we are suppose to answer only one question1)Givenp=0.1n=20Let "x" be the no.…

Q: A cook is preparing fruit jam for the festival next week. She has bought 40 apples from the farmer's…

A: To solve the problem we will use Hypergeometric probability distribution formula which is as follows…

Q: Find the specified probability. A candy company claims that its jelly bean mix contains 57% blue…

A: Given data, p=57%=0.57 n=221 P(p>0.61)=?

Q: 100 employees of a company are asked how they get to work and whether they work full time or part…

A: Given that there are 100 employees Public transportation :10 full time & 9 part time. Bicycle :…

Q: An experiment consists of rolling two fair dice and adding the dots on the two sides facing up.…

A:

Q: A bag of balloons contains 5 red balloons, 11 green balloons, 17 yellow balloons, and 8 orange…

A: Number of red balloons =5Number of green balloons =11Number of yellow balloons =17Number of orange…

Q: Mrs. Burke's physics class has 99 students, classified by academic year and gender, as illustrated…

A: Given data is Mrs. Burke's Physics class Classification Males  Females Freshmen 7 9…

Q: For the experiment of rolling an ordinary pair of​ dice, find the probability that the sum will be…

A: Total number of outcomes possible when a die is thrown = 6,Hence, Total number of outcomes possible…

Q: Use the theoretical method to determine the probability of the given outcome or event. A bag…

A:

Q: Car inspection: Of all the registered automobiles in Colorado, 8% fail the state emissions test.…

A: X has binomial distribution with probability of success i.e. P(fail)=p=8%=0.08and number of…

Q: Find the indicated probability. Ford Motor Company found out that 94% of the car's airbags are…

A: Given info: Ford Motor Company found out that 94% of the car's airbags are acceptable and 6% are…

Q: Several friends chartered a boat for a day's fishing. They caught a total of 60 fish. The table…

A:

Q: An animal shelter has a 65% adoption rate for puppies. Of all puppies in the shelter, 75% live to be…

A: Given: Animal shelter has a 65% adoption rate for puppies. 75% of puppies that remain in shelter…

Q: Toss a pair of fair dice. Dedicate event A=green die show 1, event B=red die show 1. What is the…

A: Given Event A= Green die show 1Event B= Red die show 1PA/B=?

Q: A political pollster is conducting an analysis of sample results in order to make predictions on…

A: Followings are the Explanation of the question 1) The percentage of voice sin the sample to win the…

Q: Job interview: Eight people, named Anna, Bob, Chandra, Darlene, Ed, Frank, Gina, and Hank, will be…

A: Total number of people= 8 The probability of selecting a Gina for the interview can be calculated…

Q: An experiment consists of rolling two fair dice and adding the dots on the two sides facing the sum…

A: Given, An experiment consists of rolling two fair dice and adding the dots on the two sides facing…

Q: The probability that a person has a checking account is 0.74, a saving account is 0.31, and both…

A: Given that  P(checking account) = 0.74 , P(saving account) = 0.31 , P(checking account and saving…

Q: Two dice are rolled.  (a) write out a sample space (b) find the probability of getting a sum of 6 or…

A: Given that ; Two dice are rolled.  A dice contains 6 digits i.e. { 1,2,3,4,5,6} Here we use basic…

Q: he probability of rain on any day in the month of April is 24%. The probability that it will be…

A: Let us denote that A=rainy B=windy Given that P(A)=24%=0.24 and P(B)=38%=0.38 , P(A and…

Q: The chart shows Miami's population by age. Assume that the selections are independent events. If 9…

A: Let denote the number of selections and it follows multinomial distribution. The probability mass…

Q: George buys 6 lottery tickets for 2$ each. In addition to the grand prize there is a 20% chance that…

A: George buys 6 lottery tickets for $2 each. So, the total amount spent by George is:Number of…

Q: There is a probability that the rack ends up in alpha Enter a fraction or integer (no mixed numbers)…

A: Given that,No. of CDs own No. of CDs arrange in a rack

Q: In an apartment complex the probability a tenant has a dog is 40% and the probability a tenant has a…

A: Answer :- Given P(D) = 0.40,  P(C) = 0.37 and P(C∩D) = 0.15                Here P(D) = Probability…

Q: A recent survey of 210 pet owners found that 61 people own a cat, 93 people own a dog, and 36 people…

A: From the provided information, Number of pets owners = 210 From which 61 own cat, 93 own dog and 36…

Q: Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students…

A: P(high school students of eating pizza), P(A) = 0.333 P(high school students of drink soda), P(B) =…

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.