The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.37.Part a)What is the probability that the time between consecutive customers is less than 15 seconds?Part b)Find the probability that the time between consecutive customers is between ten and fifteen seconds.Part c)Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?

exponential distributionμ = 0.37 minute = 22.2 secondsλ = 122.2 per secondformula to use : P(x>X)…

Answered: The time (in minutes) between arrivals…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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JUR 1. Suppose the lifetime of a particular brand of light bulbs is exponentially distributed with a mean of 400 hours. a) Find the probability that a randomly selected light bulb would last over 500 hours. b) Find the probability that a randomly selected light bulb would last under 300 hours. lu colected light bulbs would last over 500 67
In the mid-afternoon a restaurant receives orders such that the time between them follows an exponential distribution. The mean time between orders is 11 minutes. a) What is the probability that the restaurant receives no orders in a 30-minute interval? b) What is the probability that the restaurant receives at least one other order within 1 min of the first one?
10. The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 15 minutes. a. What is the probability that there are no calls within a 30- minute interval? b. What is the probability that at least one call arrives within a 10-minute interval? c. What is the probability that the first call arrives within 5 and 10 minutes after opening? d. Determine the length of an interval of time such that the probability of at least one call in the interval is 0.90
The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.62. Part a) What is the probability that the time between consecutive customers is less than 15 seconds? Part b) Find the probability that the time between consecutive customers is between ten and fifteen seconds. Part c) Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?
Q3 a) A component has an exponential time to failure with a mean of 100 hours. (i) The component has already been in operation for its mean life. What is the probability that it will fall by 150 hours? (ii) The component will operate for another 50 hours given that it is in operation 150 hours. (iii) If 20 components are tested, what is the probability that at least one fails in less than 200 hours? Assume that the components fail independently. b) Students of National University were classified according to their favorite color: Blue 12 5 Favorite color Red 13 13 Black 25 20 Male Female If one student is selected at random, then find the probability that the selected student: (i) Doesn't like black color. (ii) Is Female and likes blue color. (iii) Is Male or like black color. (iv) Likes red color given that it is female.
The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.75. Part a) What is the probability that the time between consecutive customers is less than 15 seconds? Part b) Find the probability that the time between consecutive customers is between ten and fifteen seconds. Part c) Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with 2-0.0004. Assuming we have a large number of computers. a) What is the expected life of a fan (in hours)? b) What is the mean time until the tenth fan failure? c) What is the expected number of fans failing in the next 5000 day.
The time between arrivals of customers at the drive-up window of a bank follows an exponential distribution with a mean of 20 minutes. a)What is the probability that the arrival time between customers will be 13 minutes or less? b)What is the probability that the arrival time between customers will be between 13 and 27 minutes?
The time (in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.47. Part a) What is the probability that the time between consecutive customers is less than 15 seconds? Part b) Find the probability that the time between consecutive customers is between ten and fifteen seconds. Part c) Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?
The time spent (in days) waiting for a heart transplant in two states for patients with type A+ blood can be approximated by a normal distribution, as shown in the graph to the right. Complete parts (a) and (b) below. u= 134 0=18.1 What is the shortest time spent waiting for a heart that would still place a patient in the top 30% of waiting times?
How do I solve the problem in the picture?

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