The computer that controls a bank's automatic teller machine crashes a mean of 0.4 times per day. What is the probability that, in any seven-day week, the computer will crash at least 4 times? Round your answer to four decimal places.
= 0.4 * 7 = 2.8
It is a Poisson distribution.
P(X > 4) = 1 - P(X < 4)
= 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3))
= 1 - (e^(-2.8) * (2.8)^0/0! + e^(-2.8) * (2.8)^1/1! + e^(-2.8) * (2.8)^2/2! + e^(-2.8) * (2.8)^3/3!)
= 1 - 0.6919
= 0.3081
The computer that controls a bank's automatic teller machine crashes a mean of 0.4 times per...
The computer that controls a bank's automatic teller machine crashes a mean of 0.4 times per day. What is the probability that, in any seven-day week, the computer will crash less than 5 times? Round your answer to four decimal places.
The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. What is the probability that, in any seven-day week, the computer will crash less than 2 times? Round your answer to four decimal places.
Many of a bank’s customers use its automatic teller machine to transact business after normal banking hours. During the early evening hours in the summer months, customers arrive at a certain location at the rate of one every other minute. This can be modeled using a Poisson distribution. Each customer spends an average of 83 seconds completing his or her transactions. Transaction time is exponentially distributed. a. Determine the average time customers spend at the machine, including waiting in line...
my C Cour The times per week a student uses a lab computer are normally distributed, with a mean of 5.9 hours and a standard deviation of 1.4 hours. A student is randomly selected. Find the following probabilities. Anno (a) Find the probability that the student uses a lab computer less than 4 hours per week. (b) Find the probability that the student uses a lab computer between 6 and 8 hours per week. (c) Find the probability that the...
An unfair coin has probability 0.4 of landing heads. The coin is tossed seven times. What is the probability that it lands heads at least once? Round your answer to four decimal places. P (Lands heads at least once) -
The following table presents the probabilities for the number of times that a certain computer system will crash in the course of a week. Let A be the event that there are more than two crashes during the week, let B be the event that the system crashes at least once. Number of Crashes Probability 0.60 0.30 0.05 0.04 0.01 4 Find the sample space. Then find the subsets of the sample space that correspond to the events A and...
Arrivals to a bank automated teller machine (ATM) are distributed according to a Poisson distribution with a mean equal to four per 5 minutes. Complete parts a and b below. a. Determine the probability that in a given -minute segment, will arrive at the ATM. The probability is nothing. (Round to four decimal places as needed.) b. What is the probability that fewer than customers will arrive in a -minute segment? The probability is
The National Bank, like most other large banks, found that using automatic teller machines (ATMs) reduces the cost of routine bank transactions. National installed an ATM in the corporate offices of the Fun Toy Company. The ATM is for the exclusive use of Fun's 617 employees. After several months of operation, a sample of 100 employees revealed the following use of the ATM machine by Fun employees in a month: Number of Times ATM Used Frequency 0 15 1 20...
Arrivals to a bank automated teller machine (ATM) are distributed according to a Poisson distribution with a mean equal to per minutes. Complete parts six 10 a and b below. Click here to view page 1 of the table of Poisson probabilities.1 Click here to view page 2 of the table of Poisson probabilities.2 Click here to view page 3 of the table of Poisson probabilities.3 Click here to view page 4 of the table of Poisson probabilities.4 Click here...
The times that college students spend studying per week have a distribution skewed to the right with a mean of 8.6 hours and a standard deviation of 2.8 hours. Find the probability that the mean time spent studying per week for a random sample of 16 college students would be more than 9.1 hours. Round your answer to two decimal places. Attach File Browse My Computer Browse Content Collection Browse Dropbox QUESTION 7 The GPAs of all students enrolled at...