A large life office has n policyholders, each with a probability of 0.01 of dying duringthe next year (independently of all other policyholders).Calculate the approximate probability that there will be between 9 and 16 (bothinclusive) deaths during the year, when :(i)n = 400(ii) n = 300

Given: A large life office has n policy holders , each with a probability of 0.01 of dying during…

Answered: A large life office has n…

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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A group of people were asked if they had run a red light in the last year. 144 responded "yes", and 373 responded "no".Find the probability that if a person is chosen at random, they have run a red light in the last year. Give your answer as a fraction or decimal accurate to at least 3 decimal places
Out of 300 applicants for a job, 134 are male and 40 are male and have a graduate degree. Step 1 of 2: What is the probability that a randomly chosen applicant has a graduate degree, given that they are male? Express your answer as a fraction or a decimal rounded to four decimal places.
Nine plants are operated by a garment manufacturer. They feel there is a sixteen percent chance for a strike at any one plant and the risk of a strike of a strike at one plant is independent of the risk of a strike at another plant. Let X be the number of plants of the garment manufacturer that strike. Compute the probability that 3 of the plants will strike. Round your answer to four decimal places, if necessary.
Industrial Robots are programmed to operate through microprocessors. The probability that one such computerized robot breaks down during any one 8-hour shift is 0.2. Find the probability that the robot will operate for at most five shifts before breaking down twice.
A study tracked a large group of people for 10 years. At the start of the study, 20% were heavy smokers (H), 30% were light smokers (L), and 50% were non-smokers (N). The interest of the study was whether the people in the study died during the study (D) or not die (Dc ). The probability that a light smoker died during the study was twice that of the probability of a non-smoker dying. Also, the probability that light smoker died during the study was half that of the probability of a heavy smoker dying. A randomly selected person from the study died during the study. What is the probability that this person was a heavy smoker (given they died, what is the probability they were a heavy smoker H)?
A group of people were asked if they had run a red light in the last year. 147 responded "yes", and 399 responded "no".Find the probability that if a person is chosen at random, they have run a red light in the last year. Give your answer as a fraction or decimal accurate to at least 3 decimal places
A researcher is selecting lab rats for her experiment. She assigns each rat a number and picks numbers out of a hat while blindfolded. The pool of rats from which she is drawing participants is composed of the following: 23 male albino rats 21 male spotted rats 35 female albino rats 11 female spotted rats If she reaches into the hat once, what is the probability of choosing a female rat or an albino rat? Give your answer as a decimal rounded to 4 decimal places.
On the average the traffic pattern at an intersection is as follows: • Twice as many cars go through as the number of vans, bicycles and trucks combined. • Twice as many vans go through as the number of bicycles and trucks combined. • Half as many trucks go through as the number of bicycles. Calculate the probability that the next vehicle to go through is a truck or a car. (19/27)

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A large life office has n policyholders, each with a probability of 0.01 of dying during the next year (independently of all other policyholders). Calculate the approximate probability that there will be between 9 and 16 (both inclusive) deaths during the year, when : (i) n = 400 (ii) n = 300