A store opens at 8:00am with one customer in the queue. After every minute, a new customer will arrive in the queue with probabiltiy p and the first person in the queue wll be served with probability q. If arrivals and service are independent, find the probability that there will be 2 customers in the queue after 2 minutes.

Q: Find the probability of at least 2 female visitors in 16 visitors to Mt. Rainier National Park.…

A:

Q: What is the Probability a couple has two children at least one of them is a boy. Assume that the…

A: Given that, The boys and girls are equally likely. P(boy) = 0.5 P(girl) = 0.5

Q: At a desert road intersection on average 3 cars pass every day find the probability 5 cars will pass…

A: Number of cars passes in a day at a desert road intersection will follow Poisson distribution with…

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

A:

Q: Assuming a married couple has an equal chance of giving birth to a male or a female child, find the…

A:

Q: In a class with 50 students, 25 students constantly have their lunch in the cafeteria and 10…

A: Consider A denotes having lunch in the cafeteria and B denotes having lunch in the canteen.

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 that the probability that Bob will go downtown is  45%.  Now, also suppose that if Bob goes…

A: Given, Suppose that the probability that Bob will go downtown is  45%.  Now, also suppose that if…

Q: Out of a group of 10 patients treated with a new drug, 4 suffered a relapse. If 3 patients are…

A:

Q: Suppose in 3 consecutive days an instant winner lottery tickets is purchased and the probability of…

A:

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

A:

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: Suppose a jar contains 13 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

A:

Q: One of the 3 shooters is randomly chosen to hit the target once. For each shooter the probabilities…

A: E1: First shooter        P(E1) = 1/3 E2: Second Shooter  P(E2) = 1/3 E3: Third Shooter     P(E3) =…

Q: An office has 2 fire detectors. Suppose that 3 out of every 100 fire detectors will fail to go off…

A: It is given that, 3 out of every 100 fire detectors will fail to go off during a fire.

Q: One of the 3 shooters is randomly chosen to hit the target once. For each shooter the probabilities…

A: E1: First Shooter        P(E1) = 1/3 E2: Second Shooter  P(E2) = 1/3 E3: Third Shooter      P(E3) =…

Q: Suppose that the probability that Bob eats an apple at lunch is 8%.  Also, suppose that the…

A: Given Information: Probability that Bob eats an apple at lunch is 8% i.e., PApple=0.08 Probability…

Q: A doctor specializing in travel medicine believes that the probability that a person will contract a…

A: Suppose a random variable X, defines that the number of patients who will contract a particular…

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 tennis player makes a successful first serve 80% of the time. Assume that each serve is…

A: From the given information, probability of a successful first serve is 0.80 sample size(n)=5 Let X…

Q: Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 oranges,…

A: Probability is the chance they occurrence in the event. Combination is the possible arrangement of…

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

A: For the multinomial distribution, we have more than 2 outcome which are mutually exclusive and…

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: ach individual letter of the word TENNESSEE is placed on a piece of paper and all 9 pieces of paper…

A: Given letter is  : TENNESSEE Which contain nine letters we have formula for Probability=Possible…

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 telephone operator gets called an average of 5 calls per hour. The probability that the operator…

A: We apply Poisson distribution to solve the problem.

Q: Suppose that a family has 5 children.​ Also, suppose that the probability of having a boy is 12.…

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

Q: A tennis match of best of 5 sets is played by two players and B. The probability that first set is…

A:

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: In a certain casino game, the player wins $500 with a probability of 0.01, wins $80 with a…

A: the player wins $500 with a probability of 0.01, wins $80 with a probability of 0.05, and loses $10…

Q: If three people are selected at random, find the probability that at least two of them have the same…

A: Given: Three people are selected at random. The objective is to find the probability that at least…

Q: there are 6 jobs applicants in a company, 4 are college graduate and 2 are not. If the owner selects…

A: