Basketball players arrive at a gym according to a Poisson process with an average rate of 1 every 4 minutes. A 3-on-3 pick-up game can start as soon as 6 players have arrived. (a) Suppose that the gym has just opened. What is the probability that the first player arrives within 3 minutes? (b) Suppose that 4 minutes has passed since the gym opened. What is the probability that first player arrives within 3 min from now? (c) On average how long does it take to start a game? (d) What is the probability that it takes more than 20 minutes to start a game?

Q: Does crime pay? The FBI Standard Survey of Crimes showed that for about 80% of all property crimes…

A: Givensample size(n)=4The probability that case is never solved=80%The probability for the case is…

Q: A company has just received a shipment of 100 computer chips, of which 20 are actually defective.…

A: A company has just received a shipment of 100 computer chips, of which 20 are actually defective.…

Q: attempt to hack a website, each hacker with his/her probability of success per attempt, P1, ..., PN,…

A:

Q: Customers arrive at a café according to a Poisson process at the rate of one every three minutes.…

A: Given that customers arrive at a cafe according to a Poisson process at the rate of one every three…

Q: Customers arrive at a checkout counter in a department store according to a Poisson distribution at…

A: From the given information we want to find the probability for given situation.

Q: d) Customers arrive at a checkout counter in a department store according to a poisson distribution…

A:

Q: A worker at an automobile plant is responsible for cleaning a CNC machine at the start of every…

A: Given:Probability that the machine fails if it is cleaned = 2% or 0.02Probability that the machine…

Q: about 5% of hourly paid workers in a reg east 30 employees who earn the prevailin (a) Company A has…

A: About 5​% of hourly paid workers in a region earn the prevailing minimum wage or less.A grocery…

Q: In a school, the probability of a student wearing spectacles is found to be 0.75. The principal…

A: P(spectacles) = p = 0.75 sample size (n) = 12 x = no. of students wearing spectacles     here each…

Q: In this time of pandemic, new indoor plant lovers emerge - flexing their potted plants and proudly…

A:

Q: In a Poisson process with an average arrival rate of 1.4 per hour, what is the probability the next…

A: Given , λ = 1.4 per 60 minutes  X follows exp(λ) P(X≥x) = e-λxP(X≤x) =  1- e-λx

Q: Suppose that 60% of all adults regularly consume coffee, 40% regularly consume carbonated soda, and…

A: If A and B denotes two events, the probability PA∪B denotes the probability of happening of either…

Q: who are offered admission Because Past experience shows that about 83% of the students accept, the…

A: c) The value of n is 1200 and the value of p is 0.83.

Q: The professor is planning to select two of the students for a demonstration. The first student will…

A: There are totally 29 students in a university class in which 11 are accounting majors, 9 are history…

Q: Rock concert tickets are sold at a ticket counter. Females and males arrive at times of independent…

A: From the information ,The Poisson rate for total customer arrivals is the sum of individual Poisson…

Q: xercise 5. You draw balls, one-by-one and without replacement, from a bucket containing o ange balls…

A:

Q: What is the probability that after an hour of fishing the boat has 3 fish in it?

A: consider that two people go fishing together in a boat, and keep all the fish they catch. The first…

Q: A car salesperson tracks the number of cars she sells over a year (12 months). What is the…

A:

Q: The number of hits to a Web site follows a Poisson process. Hits occur at the rate of 12 per minute…

A: From the provided information, The number of hits to a Web site follows a Poisson process with rate…

Q: About 5% of hourly paid workers in a region earn the prevailing minimum wage or less. A grocery…

A: a) Let X is a Random variable shows the number of employees out of 285 earn the prevailing minimum…

Q: During any given year, each stock in a portfolio will either increase in value or decrease in value…

A: From the provided information, 56% chance of increasing in value that is p = 0.56 Number of stocks =…

Q: A poll reported that 70% of adults were satisfied with the job the major airlines where doing.…

A:

Q: About 5% of hourly paid workers in a region earn the prevailing minimum wage or less. A grocery…

A:

Q: A hospital anguish about queue in emergency rooms. The medical staff on hand cannot accommodate the…

A: The random variable X represents the number of emergencies arrive during a 4-hour shift. The average…

Q: 2. A restaurant owner has calculated that 75% of customers order a drink with their meal, and this…

A: n=3p=0.75q=1-pq=1-0.75=0.25A random variable XBinomial(n=3 ,p=0.75)

Q: studer College, 60% Of the stude 40% of the students are day scholars. Previous year result reports…

A: It is an important part of statistics. It is widely used.

Q: Univerisity state runs two bus lines on campus: yellow and blue. The yellow line serves the east…

A: Given that, The blue buses arrive at the transfer station every 10 minutes. The yellow buses arrive…

Q: Suppose that 40% of all adults regularly consume coffee, 50% regularly consume carbonated soda, and…

A: Introduction:  Probability of intersection of two events:  Probability of intersection of two events…

Q: A vending machine in a supermarket breaks down an average of four times per month. Using the Poisson…

A: Given,The average breaks down per month(λ)=4A random variable X~Poisson(λ=4)P(X=x)=e-44xx!  ;  x≥0

Q: Assume that the class consists of 30 percent freshmen, 20 percent sophomores, 25 percent juniors,…

A: Consider A be the event that the students want to go to medical school. The provided probabilities…

Q: A coin having probability p of coming up heads is continually flipped until both heads and tails…

A: Classical theory of probability can only be used when all events are equally likely.   Experimental…

Q: Q15. In a network of 40 computers, 4 have a copy of a particularly critical file to sustain an…

A:

Q: A worker at an automobile plant is responsible for cleaning a CNC machine at the start of every…

A: From the above given data the following solution is provided below:

Q: About 5% of hourly paid workers in a region earn the prevailing minimum wage or less. A grocery…

A: Given,  Probability (p) = 0.05 For part a.  sample size (n)=285 Probability of success is fixed and…

Q: A study finds that 65% of children in a large city neighborhood own a bicycle. (a) Suppose that 6…

A: A study finds that 65% of children in a large city neighborhood own a bicycle. Probability = 65% =…