A couple wishes to have children until they have exactly two female children in their family. What is the EXPECTED NUMBER AND VARIANCE OF MALE CHILDREN?

Q: 3) What is the likelihood that you will get only one four with your roll of the two dice?

A: Obtain the likelihood of getting only one four in a roll of two dice.   The likelihood of getting…

Q: What is the probability that a random variable will have values of three or less?

A: Given that  Probability mass function  X 0 1 2 3 4 5 6 7 8 9 10 P(x) 0.06 0.14 0.16 0.14 0.12…

Q: A 5-card hand is dealt from a perfectly shuffled deck so that each 5-card hand is equally likely.…

A: Let X denote the expected number of hearts in 5 card hand. Form probability distribution for the…

Q: The manager of a supermarket found that 72% of the shoppers who taste a free sample of a food item…

A: Let X= number of shoppers that will buy the item who taste a free sample Given that the probability…

Q: 2. In a factory that produces pieces of ready-made concrete, if the percentage of producing…

A: Given,n=5p=0.6q=1-p=1-0.6=0.4X=no.of defective piecesX~Binomial (n=5 , p=0.6)P(X=x)=nx px qn-x    ;…

Q: It is known that a certain drug causes side effects in 10% of patients. If we consider a random…

A: Let, X= number of patients who have the side effect  Given that probability of success= p= 10%=0.10…

Q: A company which produces light bulbs of which 3% is defective. (a). If 50 light bulbs are selected…

A: Answer is given below:

Q: In a highly academic suburban school system, 45% of the girls and 40% of the boys cake advanced…

A: Given that Girls enrolled in the high schools of the district = 2200 Boys enrolled in the high…

Q: What is a random variable?

A: A random variable is a variable whose possible values are numerical outcomes of a random phenomenon.…

Q: A coin is biased such that a tail is six times as likely to occur as a head. Find the expected…

A: We have to find mean of no. of heads toseed.

Q: In a certain state, pickup trucks account for 25% of the state's registered vehicles. If 200…

A: Given problem Given that   In a certain state, pickup trucks account for 25% of the state's…

Q: A player receives 250 pesos if the results of tossing three coins are all heads or all tails. On the…

A: The sample space for the tossing three coins is, S=HHH,HHT,HTH,TTH,THT,THH,HTT,TTT n=8 Each of these…

Q: Suppose the lifetime of a human has an expectation of 72 and variance 36. What is the probability…

A:

Q: In a family with 2 children, excluding multiple births and assuming that a boy is as likely as a…

A: Let B=Boy and G=Girl Possible number of outcomes for two children are {BB, BG, GB, GG} Let x= number…

Q: what is the expected number is successes

A: Solution:  Given information:  Let X represent the number of US female citizens.  p= 0.51…

Q: An urn contains four balls numbered 3, 5, 8, and 10. If a person selects a set of two balls at…

A: An urn contains four balls numbered 3, 5, 8, and 10 and a person selects a set of two balls at…

Q: On any given day, a salesman can earn $0 with a 20% probability, $100 with a 40% probability, or…

A: Solution: Let X be the earning of salesman.  The earning of sales person are 0 , 100 and 300 with…

Q: A game has 49 green balls and 1 red ball in a bag, and you will randomly select one ball from the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: On three rolls of a single​ die, you will lose ​$12 if a 6 turns up at least​ once, and you will win…

A: On three rolls of a single​ die, you will lose ​$12 if a 6 turns up at least​ once, and you will win…

Q: When two unbiased dice are thrown, find the expected value of the product of the numbers shown on…

A:

Q: If 11% of the population has a certain illness , what is the expected number of ill people in a…

A:

Q: An urn contains four balls numbered 1, 3, 4, and 6. If a person selects a set of two balls at…

A: Given that there are 4 balls.A person selects two balls. So total number of outcomes=4C2=6So the…

Q: Although studies continue to show smoking leads to significant health problems, 20% ofadults in the…

A: The 20% of the adults in the United States are smokers. The sample size is 250 adults. The formula…

Q: In a certain state, pickup trucks account for 28% of the state's registered vehicles. If 100…

A: From the given information, n = 100 and p is 0.28.

Q: Suppose that a high school student is preparing to take the SAT exam. Explain why his or her…

A:

Q: What is the probability of selecting a male who prefers fish? What is the probability of selecting…

A: (a) Here we need to find the probability of selecting a male who prefers fish. Number of males who…

Q: The Walker Construction Company has just received a building contract. Walker estimates there is a…

A: Let us assume X= amount of profit  Breakeven means no profit. Let us make a probability distribution…

Q: What would be the expected value, variance and standard deviation of an event that always took the…

A:

Q: A church is holding a raffle and sells 500 tickets for $2 each. If the church awards one $100 first…

A: There is one $100 prize  So the probability of winning $100 is = 1/500    there are two $50 prize So…

Q: It is known that 70% of adult workers have a high school diploma.  If a random sample of 25 adult…

A:

Q: The accompanying table lists probabilities for the corresponding number of girls in 4 births. What…

A: Frequency distribution of girl births is given.

Q: If a player rolls 2 dice and gets a sum of 3 or 11, he wins $10. If he gets a sum of 7, he pays $5.…

A:

Q: A. If 75% of high school students are able to pass a stats test, find the mean, variance, and…

A: (A). It is given that 75% of high school students are able to pass a stats test. Thus,

Q: There are 4 red balls, 6 blue balls and 2 white balls in a bag. Suppose on every single turn, you…

A: Given, number of red balls = 4 number of white balls = 2 number of blue ball =6

Q: When two dice are thrown, find the expected values of the sum of number points on them.

A: Answer: For the given data,

Q: In a 2 colour spinner, the probability of spinning red is 4 times the probability of spinning green.…

A: Let there are n trials and each having two outcomes - Success and Failure. The trials are…

Q: How does the probability of union of disjoint events exhibit itself when dealing with a (discrete or…

A: Introduction: Suppose there are n events, A1, A2, …, An. The general formula for the probability of…

Q: Find the expected value for a person that buys one ticket

A: Expected value = number of required/ number of total

Q: In an amusement fair, a competitor is entitled for a prize if he throws a ring on a peg from a…

A: Given: The probability of winning = 30% = 0.3

Q: A kissed frog has a 70% chance of turning into a prince, while a kissed toad has only a 20% chance…

A:

Q: Determine the expected number of boys in a family with 8 children, assuming the sex distribution to…

A: Given data Determine the expected number of boys in a family with 8 children assuming the sex…

Q: At a major credit card bank, the percentages of people who historically apply for the Silver, Gold,…

A: The null and alternative hypothesis is,   The expected number of customers applying…

Q: FInd the expected number of infected ducks in a sample of 5 ducks if the probability of an infected…

A: Given dataNo of ducks = 5Probability of an infected duck p = 0.3Using Binomial theoremProbability of…

Q: 6. If the probability is 0.60 that an applicant for a driver's license will pass the road test on…

A: Question 6.option c is correct

Q: A church is holding a raffle and sells 500 tickets for $2 each. If the church awards one $100 first…

A: Note:Hey there! Thank you for posting the question. Your question says “what is the expected value…

Q: A coin is biased such that a head is twice as likely to occur as a tail. Find the expected number of

A: When tossing a coin, the possible outcomes are Tail and Head. PH+PT=1 A coin is biased such that a…

Q: Find the expected number of infected ducks in a sample of 5 ducks if the probability of an infected…

A: Let the random variable X represents the number of infected ducks.It is given that the probability…

Q: It has been reported that about 35% of US adults attended a sports event during the previous year.…

A: The term odd and probability are almost similar concepts. But in probability, we divide the…

Q: 1. In a factory that produces pieces of ready-made concrete, if the percentage of production of…

A: Givenp=0.6n=5x~Binomial(n=5,p=0.6)P(X=x)=Cxn px (1-p)n-x  ; x=0,1...,n

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.