Battery replacements at the Verizon store are supposed to take 30 minutes, with goal that replacement ranges between 20 and 40 minutes. If the standard deviation is 5, what percentage of customers will have to wait 40 minutes or more? (Assume normal distribution)
Battery replacements at the Verizon store are supposed to take 30 minutes, with goal that replacement...
How long does it take to download a two0hour HD movie from the itunes store? According to Apple's technical support site, support.apple.com/en-us/HT201587, downloading such a movie using a 15 Mbit/s broadband connection should take 29-43 minutes. Assume that the download times are uniformly distributed between 29 and 43 minutes. If you download a two hour movie, what is the probability that the download time will be: A. less than 30 minutes? B. more than 36 minutes? C. between 30 and...
Part 3: The Uniform Distribution
Suppose that you need to take a bus that comes every 30 minutes.
Assume that the amount of time you have to wait for this bus has a
uniform distribution between 0 and 30 minutes. The probability
density curve for this distribution is given below.
1) Is waiting time a discrete or continuous random variable?
2) What is the area of this entire rectangle?
3) What numbers are represented by a, b and c (note:...
Customers make purchases at a convenience store, on average, every sixteen minutes. It is fair to assume that the time between customer purchases is exponentially distributed. Jack operates the cash register at this store. a-1. What is the rate parameter λ? (Round your answer to 4 decimal places.) Rate parameter λ ______________ a-2. What is the standard deviation of this distribution? Standard deviation _____________________ b. Jack wants to take a 12-minute break. He believes that if he goes right after...
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 1.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n1=41 customers in the first line and n2=51 customers in the second line. a.Compute the mean and the variance of X1 bar−?2 bar. b.Find the probability that the...
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 2.0 minutes and standard deviation of 4.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n = 31 customers in the first line and n2 = 42 customers in the second line. Find the probability that the difference between the mean service time...
A study of wait-times at the theme park found that the average ride-line length was 40 minutes with a standard deviation of 12 minutes. Assuming that wait times at the theme park are characterized by a normal distribution: What percent of guests wait longer than 60 minutes for a ride? What percent of guests wait less than 30 minutes for a ride? If you attend the theme park, what is the probability you will have to wait between 45 and...
A company has a customer services call centre. The company believes that the time taken to complete a call to the call centre may be modelled by a normal distribution with mean 16 minutes and standard deviation σ minutes. Given that 10% of the calls take longer than 22 minutes, (a) show that, to 3 significant figures, the value of σ is 4.68.(3) (b) Calculate the percentage of calls that take less than 13 minutes.(1) A supervisor in the call centre claims that the mean...
Problem 4. The lifetime of a certain battery follows a normal distribution with a mean of 276 and standard deviation of 20 minutes. (a) What proportion of the batteries have a lifetime more than 270 minutes? (b) Find the 90th percentile of the lifetime of these batteries. (c) We took a random sample of 100 batteries. What is the probability that the sample mean of lifetimes will be less than 270 minutes?
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping interval. Based on a certain article, the mean of the x distribution is about $30 and the estimated standard deviation is about $5. (a) Consider a random sample of n = 40 customers, each of whom has 10 minutes of unplanned shopping time in a supermarket. From the central limit theorem, what can you say about the probability distribution of x, the average amount...
A bus comes by every 15 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 15 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the person will wait more than 5 minutes is d. Suppose that the person has...