a.)A green die and a red die are rolled. The random variable X is the number of rolls required until a sum of seven spots is attained for the first time.

Q: A test was given to a group of students. The grades and gender are summarized belo A B Total Male 20…

A: Given table    A B C Total Male 20 9 15 44 Female 7 16 18 41 Total 27 25 33 85

Q: Determine the mean and the standard deviation of the total transit time for a DVD. b) On average,…

A: Answer:- Given , The random variable X denote the delivery time.  E(X) = 1.2 days and SD(X) = 0.6…

Q: The number of customers that enter a store during one day is an example of O either a continuous or…

A: Answer  discrete random variable has a countable number of possible values. random variable can take…

Q: Balls are labelled 2, 3, 5, 6 and 8 then are placed in a raffle box. Two balls are chosen without…

A:

Q: )? b.)

A: Given as,    Total ball in box = 8 +8 + 8  = 24 balls

Q: A supervisor in nestle company. She gives equal opportunity for the members to work for her. She has…

A:

Q: Oliver is participating in an archery competition where there are two ways to win. He can choose one…

A: In a first way, let the random variable X represents the arrow hits on the shot in 5 independent…

Q: wo balls are picked in succession without replacement - 4 white balls and 5 green balls. Let Y be…

A:

Q: Three coins are tossed. Let Y be the number of heads that occurs

A: The possible outcomes if three coins are tossed: Sample space S = {HHH, HHT, HTH, HTT, THH, THT,…

Q: A subway train will arrive every 8 minutes. Assume the time for the next train to arrive is a…

A: Solution: If X be the uniform random variable, then the probability density function of X is Let X…

Q: Of the cartons produced by a company, 3% have a puncture, 5% have a smashed corner, and 0.4% have…

A: Given that , cartons produced by a company, 3% have a puncture, 5% have a smashed corner, and 0.4 %…

Q: A physics class has 50 students. Of these, 18 students are physics majors and 16 students are…

A: From the given information, total number of students n(S) = 50. Number of physics majors n(Physics)…

Q: Find the complete possible outcomes and values of the given situation. Use table to represent the…

A: There are 8 purple balls. f= 8 The total balls are N= 10+9+8= 27

Q: If X is a constant random variable and Y is any random variable. Are X and Y independent or not?…

A: Given X is a constant random variable Y is any Random variable f(x) = c f(y) = y If x and y are…

Q: 10 coins are flipped and the results were recorded. Let X be the random variable that determines the…

A: When a coin is flipped there are two possible outcomes HeadH,TailT. When 10 coins are flipped, there…

Q: List all of the possible values of the random variable X

A: Since , a disciplinary board at a university consists of 6 faculty members, 2 administrators, and 1…

Q: We have a red and a blue fair 4 sided die. Our random experiment is tosses of both dies…

A: Given: Red and Blue fair 4 sided die

Q: A foreign shipment of 5 foreign cars contains 2 that have light paint stains. Suppose an agency…

A: A random variable is an outcome of a random experiment. Sometimes the outcomes of a random…

Q: representing the number of even number outcome

A: We know that the  If a person tosses one die then he or she may get  S={1,2,3,4,5,6} as a sample…

Q: Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced…

A: We have to find  probability..

Q: Find the complete possible outcomes and values of the given situation. Use table to represent the…

A:

Q: Let Y be the number of distinct numbers showing when three fair dice are rolled. Find the pmnf and…

A: Note In question it's mentioned PMNF Which is wrong term are misspelled during typing.  It's PMF.

Q: The probability that a person in the United States has type B* blood is 13%. Four unrelated people…

A: Sample size, n=4 Success probability, p=0.13

Q: In some city, 50% of the eligible voters prefer candidate A, 40% prefer candidate B, 10% have no…

A: 1. It is given that, 50% of the eligible voters prefer candidate A and 12 eligible voters are…

Q: During the summer semester , students can register for no more than three classes. Identify the…

A: It is given that the, During the summer semester, students can register for no more than three…

Q: A foreign shipment of 5 foreign cars contains 2 that have light paint stains. Suppose an agency…

A: In statistics, the population refers to the complete set of objects/individuals over which the study…

Q: The random variable x represents the number of cars per household in a town of 1000 households. Find…

A: cars (x) 0 1 2 3 4 households P(X) 0.135 0.418 0.242 0.122 0.083

Q: A six-sided die is rolled twice. The result of the rolls are denoted as A and B. Assume that all…

A: A six-sided die is rolled twice. The random variable X is defined as X=A,B.

Q: Assume there are two individuals to be tested in Covid-19. Assume that z is a random variable that…

A: It is given that there are 2 individuals to be tested on Covid-19. So sample size is n=2 z…

Q: A pizza restaurant sells two different crusts (regular and thin-crust) and three different toppings…

A: 1.Types of Crusts:Regular crustThin crust2. Types of Toppings:PepperoniSausageBell peppersGiven…

Q: Four coins are tossed. Let y be the random variable that represents

A:

Q: fair dice is rolled. If the outcomes are 1,2,3 or 4, a fair coin is flipped once. If the outcomes…

A: Fair dice rolled :  outcomes 1,2,3,4 Fair coin : outcomes 5,6 Amount of information for outcomes =?…

Q: Classify if it's a Discrete or Continuous random variable. a. The area of lots in an exclusive…

A: Here For   Random variable which has Infinite possible values in given range is called Continous…

Q: A. Free Throw Shot - A player is awarded free throws whenever the player is fouled in a shooting…

A: Given that he makes 60% of his free throws and he shots 5 free throws every day in practice.

Q: List all the possible outcomes and determine the values of the random variable in each of the…

A: It is given that Number of Australian = 4 Number of Americans = 2 Sample size = 3 Let A denote the…

Q: Suppose there are three people to be tested in Covid-19. Let P represent positive, N represent…

A: It is given that P : positive and N : negative. And Number of people = 3

Q: 3 dices are rolled together. If X is the random variable for the sum of the results of the 3 dices,…

A: