A computer undergoes down-time if a certain critical component fails. Thiscomponent is known to fail at an average rate of once per four weeks. Nosignificant down-time occurs if replacement components are on hand becauserepair can be made rapidly. There are three components on hand and orderedreplacements are not due for six weeks.(a) What is the probability of significant down-time occurring before theordered components arrive?(b) If the shipment is delayed two weeks what is the probability of signifi-cant down-time occurring before the shipment arrives?

The provided information is as follows:The average rate of failure for a critical component of a…

Answered: A computer undergoes down-time if a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question 7. [5] Vodacom, uses a large number of common batteries in one of its most popular lines of phones. After testing a large number of them, they found that the average time to failure is 1/2, 8000 hours. a) What is the probability that a component will fail within 1500 hours? b. What is the probability that a component will fail after 8800 hours?
You manage a call center and your job is to make sure the employees aren’t slacking off when they are on the clock. You notice that one employee goes 20 minutes without picking up the phone, and you know the expected time between calls is 2 minutes. Derive an upper bound for the probability that the employee didn’t receive a call during the 20 minutes
Suppose we begin with a population of normally distributed values with mean zero and S.D. = 1 and we add a positive number k to every value. If a value is randomly selected from this population, find the probability that it is greater than k + 1.
Question 1 Please use simple probability rules
.A new, miracle diabetes drug that diminishes major symptoms of diabetes has been approved by the FDA. Health care professionals and researchers believe that the new drug will prolong lifespan of diabetes patients. If the population is in steady state and the incidence is constant, what will the effect of this new drug be on the prevalence of diabetes in the population? Explain.
1. ABC inc. stock is currently selling for $30, one year from today the stock price can either increase by 20% or decrease by 15%. The probability of an increase in the stock price is equal to 0.3. The one-year risk-free rate is 5% What is the value of a European put that expires in one year with an exercise price of $24. 2. Graphically, show the value and the profit and loss of the following butterfly position: Long in a call with an exercise price of $30, short in 2 calls with an exercise price of $45, and long in a call with an exercise price of 60. All calls are written on the same stock and have the same maturity. 3. "Early exercise of an American option on a stock that does not pay any dividend is not optimal regardless of whether the option is a Call or a Put". True, False, or Uncertain. Explain.
9
A small business is studying the number of customers that enter the store. They record the number of customers entering every hour for three days, and find that 27% of the time two customers enter the store in an hour, 28% of the time of the time one customer enters the store in an hour, and the remainder of the time no one enters the store in an hour. What is the expected number of customers per hour?
Question 1 A store-bought pregnancy test produces a correct result 99% of the time when a woman is actually pregnant but is only 97% accurate when a woman is not pregnant. What are the chances of a false positive and a false negative respectively? Question 2 Assuming a woman has a 90% chance of actually being pregnant when she takes the test, and that she takes TWO tests (requiring the same signal from both tests to either confirm OR reject) what is the probability of she will get a "double positive" result? Also, what is the probability of an "uncertain" result (one of each)?
zample 3: Alexis is selling girl scout cookies. She has kept track of the number of boxes of cookies at her customers have purchased over the last 2 years. She wants to use this data to help edict how many boxes of cookies a new customer might purchase. The table below summarizes exis' data, with the number of boxes that a customer might purchase along with the rresponding probability that they will purchase that number of boxes based on her previous les. Use this information to answer the following questions. Outcomes: 2 3 4 5 6 7 8 X = x Probability: P(X = x¡) 0.21 0.16 0.32 0.11 0.08 0.05 0.04 0.02 0.01 a) Construct a probability histogram of the data in the table above and comment on the shape. ) What is the probability that a randomly selected customer will purchase 3 boxes of cookies? What is the probability that a randomly selected customer will purchase at least 4 boxes of cookies? What is the probability that a randomly selected customer will purchase anywhere from 2 to 5…
QUESTION I [5]Research has shown that 55% of new Small Medium Enterprises (SMEs) are started by graduateswhile 45% are started by non-graduates. It is also known that 70% of SMEs started by graduates aresuccessful i.e. they survive beyond 3 years, while only 10% of those started by non-graduates aresuccessful.Required:If it is known that a new SME is not successful, what is the probability that it was not started by agraduate?

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