b) A research study shows that the lifetime of the computers at a certain university isexponentially distributed with an average of 4 years.i)ii)A lab acquires 10 university computers. What is the probability that exactly half ofthem are still functioning after 6 years? (Hint: the probability of x successes after ntrials...what is p?)What is the variance in computer lifetimes at this university?

Given information: Let X be the lifetime of the computers at a certain university follows…

Answered: b) A research study shows that the…

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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Based on data covering two consecutive school years, the National Safety Council found that fourth to sixth graders engaging in unorganized activities on school grounds experienced injuries at the rate of 2.4 injuries per 100 thousand student-days. On the average, how many students elapse between injuries to fourth to sixth graders in unorganized activities at school, and what is the probability that the next such injury will occur before 45 thousand student-days have passed?
In an election, 18 percent of the people voting at a precinct vote against Proposition A. If voters are randomly being chosen to be surveyed. What is the probability that the first person interviewed against the proposition will be the 5th person interviewed. Your answer should be given to 4 decimal places?
3. Your roommate thinks that, because you're an ECE major, it's your job to change light bulbs. You buy a bulb. Its average lifetime is rated for 10 years. Model the actual lifetime L as an exponential random variable. (a) What is the probability that it will last longer than 5 years, i.e. P(L 2 5)? (b) After 2 years, it still hasn't burned out. Given that, what is the probability that it will last 5 years beyond that, i.e. P(L 2 2+5|L 2 2)? Compare your answers in (a) and (b) and explain why they support (c). callıng the exponential R.V. "memoryless".
QUESTION 11 QwikStore has kept their daily sales records on their 20 oz. "Awesome Drink" across the last 400 days. Assuming that past performance is a good indicator of future sales, what is the probability that 100 "Awesome Drink" sales will be made? Number Sold of "Awesome Drinks" 50 75 100 125 Total OA).1875 O B).3125 O C).50 O D),.80 OE).25 Number of Days 75 120 125 80 400
Twenty-five percent of the employees of a large company are minorities. A random sample of 7 employees is selected. Question 16 What is the probability that the sample contains strictly fewer than 2 minorities? Your answer must be between 0 and 1 and have four digits after the period (e.g., 0.1010).
#7
33% of a certain breed of rabbits are born with long hair. What is the probability that in a litter of 8 rabbits, exactly 1 will have long hair? (Give your answer correct to three decimal places.)
Example 10.13 It has been found that 7 per cent of the tools manufactured by a factory are defective. What is the probability that in a shipment of 625 such tools (a) 8 per cent or more, and (b) 7 per cent or less will be defective?
H. R. Pulliam found that the time (in minutes)required by a predator to find a prey is a random variable thatis exponentially distributed, with m = 25. Source: AmericanNaturalist.a. According to this distribution, what is the longest timewithin which the predator will be 90% certain of finding aprey?b. What is the probability that the predator will have to spendmore than 1 hour looking for a prey?
#13
Question 2) Waiting Line Analysis A customer service desk with 1 worker is able to process an average of 9 customer inquiries per hour. An average of 6 customers arrive for help at the desk each hour. c) What is the average time required to serve a customer (in minutes)? d) What is the probability that more than 2 customers will arrive in the next hour?
Example 4.2:- As shown in the table below that gives the age distribution of companies. Find the following probabilities: 1-Ages (30-39). 2-Age=45. 3-Age>50. 4-Age<40. individuals starting new 30 - 39 40- 49 50-59 60 - 69 Age Frequency 20 - 29 11 25 14 3

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