The flow of goods through a certain machine in a factory can be modeled as a Poisson Random Process. Suppose that a machine has 20 goods per minute as an outflow rate, determine the probability that the 7th good will exit within 30 seconds. (Express your answer in 4 decimal places)

Q: Find the probability that none of them enjoy eating earwimgs

A: Solution: Given: n = Sample size = 7 Population proportion  = p = 82% = 0.82 We have to find P(none…

Q: Find the probability that more than 19 weeks pass between accidents.

A:

Q: Gian is a teacher, as per her class rule, the probability of not getting an additional points for a…

A: Let X be the number of students who getting an additional points from binomial distribution with…

Q: Assume that when an adult is randomly​ selected, the probability that they do not require vision…

A: Given:Let’s p is the probability that they do not require vision correction is 24%.So, p=0.24.Sample…

Q: The average time between accidents in a factory is 11 weeks. Find the probability that more than 25…

A: Average time between accidents in a factory is 11 weeks, Probability that more than 25 weeks pass…

Q: lobe has a number of inquiries arriving in their system at 3 inquiries per minute. What is the…

A: Consider X denotes inquiries arriving in the system which follows Poisson distribution with λ=3.

Q: A group of students consists of 5 females and 10 males. If 8 students are to be selected at random…

A: We have to use classical probability definition to find the probability.

Q: The average number of field mice per acre in a 5-acre wheat field is estimated to be 8. Find the…

A: Given The average number of field mice per acre in a 5-acre wheat field is estimated to be 8. Find…

Q: an ice just contains 4 cans of apple juice 8 cans of grape juice 5 cans of orange juice and 4 cans…

A: Solution: From the given information, an ice just contains 4 cans of apple juice, 8 cans of grape…

Q: Packets at a certain node on the internet arrive with a rate of 100 packets per minute. Find the…

A: Given, Packets at a certain node on the internet arrive at a rate of 100 packets per minute To find:…

Q: Packets at a certain node on the internet arrive with a rate of 100 packets per minute.Find the…

A: The arrival rate is 100 packets per minute that means 10010=10 packet per 6 seconds. The probability…

Q: Assume that when an adult is randomly​ selected, the probability that they do not require vision…

A: The probability that exactly 3 of them do not require a vision correction is obtained below:Here, do…

Q: Find the predicted probability of passing the course for students who study 1 hour per day

A: The logistic regression equation is of the form

Q: Find the probability that Amanda swims more than 4 times a month

A:

Q: The average time between accidents in a factory is 4 weeks. Find the probability that more than 11…

A:

Q: A representative from volleyball team selects people from south until he finds a person who attended…

A: Given that  p=0.20 X~Geometric(p=0.20)

Q: The management of a local company is interested in using simulation to estimate the profit per unit…

A: Solution

Q: A machine has 12 identical components which function independetly. The probability that a component…

A:

Q: Find the probability that when a couple has 3 children, they will have exactly 2 boys. Assume that…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: Suppose a jar contains 18 red marbles and 36 blue marbles. If you reach in the jar and pull out 2…

A: From the provided information, A jar contains 18 red marbles and 36 blue marbles. Total marbles = 18…

Q: Suppose that 70% of all students in a large university pass all their classes. Find the  probability…

A: Given: 70% of all students in a large university pass all their classes i.e., p=0.70 Sample size…

Q: At a bank, there is a line of 3 people and only one cashier that serves one person at a time. The…

A: Exponential distribution : A continuous random variable x is said to be follows exponential…

Q: DETERMINE THE PROBABILITY THAT HE WOULD HAVE TO WAIT FOR APPROXIMATELY LESS THAN 8 MINUTES.

A:

Q: A bank teller successfully completes 85% of all transactions and within four minutes and 26…

A: We have given that, P= 0.85   = percentage of successfully complete transactions within four…

Q: 2. It has been observed that an average of 3 crabs in a crab swarm are eaten every minute by their…

A: 2. Obtain the probability that 5 crabs will be eaten next two minutes. The probability that 5 crabs…

Q: Assume that when an adult is randomly​ selected, the probability that they do not require vision…

A: From the provided information, The probability that an adult does not require vision correction is…

Q: Find the probability that a driver with at least one collision in the past year is a middle aged…

A:

Q: ccident in a city is 7 during half a day.. he next 24 hours?

A:

Q: The average time between accidents in a factory is 15 weeks. Find the probability that more than 18…

A:

Q: A driver has pumped 13 gallons of gas to his track. On average day that driver has to spend 2…

A: A driver has 13 gallons of gas in his truck. The gas usage in a day is distributed with mean 2…