In a tournament, the first team that wins 4 out of 7 games wins. Suppose that the probability that team A beats team B in one game is 0.6. Given team A always beats team B, if this tournament repeats 30 times, find the probability that the average number of games played in these 30 tournaments is greater than 6.

Q: If the mean number of serious accidents per year in a large factory is 4, find the probability that…

A: Obtain the probability that in the current year there will exactly 4 accidents. The probability that…

Q: In a particular area 40% of men and 15% of women are overweight and there are four men and three…

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Q: A company that advertises on the radio in a certain area receives on average 11 calls everytime it…

A: Formula : poisson distribution is given by

Q: Suppose a jar contains 18 red marbles and 21 blue marbles. If you reach in the jar and pull out 2…

A: Given,no.of red marbles=18no.of blue marbles=21Total no.of marbles=39

Q: A math professor finds that when she schedules an office hour for student help, an average of 2.3…

A: Step 1:The probability mass function of the poisson distribution is given by…

Q: Suppose a batsman can hit the ball 50% of the time. If the batsman is given 3 attempts at hitting…

A:

Q: A person randomly rolls two dice repeatedly. Find the probability that the first time the sum is…

A: We have to find given probability...

Q: Suppose a jar contains 8 red marbles and 22 blue marbles. If you reach in the jar and pull out 2…

A: The objective of this question is to find the probability of drawing two red marbles from a jar…

Q: If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that…

A: Total number of red marbles = 18 Total number of blue marbles = 26 Total number of marbles = 18+26 =…

Q: If a baseball player has a batting average of 0.275​, what is the probability that the player will…

A: Givensample size(n)=4p=0.275p+q=1q=1-p=0.725Let x be a random variablex~Binomial (n,p)Accoding to…

Q: A tennis player makes a successful first serve 40% of the time. Assume that each serve is…

A: The objective of this question is to find the probability that a tennis player gets at most 2…

Q: Suppose a jar contains 15 red marbles and 27 blue marbles. If you reach in the jar and pull out 2…

A: 15 red marbles27 blue marblesThe total number of marbles in the jar is 15 + 27 = 42

Q: At a local​ company, 15​% of the employees are women. Every​ day, 7​% of the women bring their lunch…

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Q: fish that are above the legal limit and 3 that are not. What is the probability that he'll catch 3…

A:

Q: At a sports camp, it was found that 80% of students play soccer, 71% of students play baseball, and…

A:

Q: Suppose that the probability that Bob eats a banana at lunch is  14%.  Also, suppose that the…

A: Given that, The probability that Bob eats a banana at lunch is,  0.14 The probability that Bob eats…

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: A drunken man who has n keys wants to open the door if his office. He tries the keys at random, one…

A: Given The total number of keys =n The unsuccessful keys are eliminated and one by one keys are tried…

Q: On average there are 3 leaks for every 100 miles of a pipeline. What is the probability that a…

A: On average there are 3 leaks for every 100 miles of a pipeline

Q: Team A has a probability of 2 3 of winning whenever it plays. If A plays 6 games, find the…

A:

Q: Suppose a batsman can hit the ball 50% of the time. Assume that the batsman has seen 6 balls and hit…

A:

Q: A manufacturer claims that a new drug is 85% effective. If the drug is given to 10 patients, find…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Q: Suppose that 60% of all California motorists are insured. Find the probability  that more than 55%…

A: given data  P(insured) = p = 0.60 sample size n = 100 P(p^>0.55) = ?

Q: A tennis player makes a successful first serve 40% of the time. Assume that each serve is…

A: The objective of this question is to find the probability of a specific outcome in a binomial…

Q: Suppose a jar contains 8 red marbles and 10 blue marbles. If you reach in the jar and pull out 2…

A: A jar contains 8 red marbles and 10 blue marbles, Total number of marbles in the jar= 8+10=18

Q: Suppose that a family has 7 children.​ Also, suppose that the probability of having a girl is 1/2.…

A: From the given information,Number of children, n=7And probability of girl, P=1/2=0.5.Here, we can…

Q: A pair of dice are tossed twice. Find the probability that both rolls give at most a sum of 6.

A: We have given that,  A pair of dice are tossed twice then the sample space (S) is,  S = {(1,1),…

Q: If the probability of being hospitalized during a year is 0.25. Find the probability that no one is…

A: X has binomial distribution. X~binomial(n,p)n=3p=0.25probability mass function of X;…

Q: A person conducting telephone surveys must get 3 more completed surveys before their job is…

A: There is 20% chance of completing the phone survey

Q: Suppose a basketball player has a 84% of making his free throws.  Assume that the free throws are…

A: Given,sample size(n)=3p=P(misses free throws)=1-0.84=0.16A random variable X~Binomial(n=3 ,…

Q: A tennis player makes a successful first serve 30% of the time. If she serves 33 times, what is the…

A: Solution: Let X be the number of first serves and n be the number of times she serves. From the…

Q: The Dallas Mavericks play the Oklahoma City Thunder in a best of 7 game NBA playoff series. If the…

A: The given scenario follows binomial distribution with n=7 and p=0.40.