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3. In a factory which manufactures bolts, machines A, B and C manufacture respectively 25%, 35% and 40% of the bolts. Of their outputs, 5, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it is manufactured by the machine B?

3. In a factory which manufactures bolts, machines A, B and C manufacture respectively 25%, 35% and 40% of the bolts. Of their outputs, 5, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it is manufactured by the machine B?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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۳:۳۹ م 150 Done STAT237 LAB 5_348cef10ed9ec0... STAT237: LAB5 1. Bag I contains 3 red and 4 black balls while another Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. Find the probability that it was drawn from Bag II. 2. The urns contain 6 green, 4 black; 4 green, 6 black and 5 green, 5 black balls respectively. Randomly selected an urn and a ball is drawn from it. If the ball drawn is Green, find the probability that it is drawn from the first urn. 3. In a factory which manufactures bolts, machines A, B and C manufacture respectively 25%, 35% and 40% of the bolts. Of their outputs, 5, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it is manufactured by the machine B? 4. A factory uses two machines A and B for making socks. Machine A produces 10% of the total production of socks while machine B produces the remaining 90%. Now, 1% of all the socks produced by A are defective while 5% of all the socks produced by B are defective. Find the probability that a sock taken at random from a day's production was made by the machine A, given that it is defective 5. An auto insurance company insures drivers of all ages. An actuary compiled the following statistics on the company's insured drivers: | Age of Probability Portion of Company's Driver of Accident 16 - 20 21 - 30 31 - 65 66 - 99 Insured Drivers 0.06 0.03 0.08 0.15 0.02 0.04 0.49 0.28 A randomly selected driver that the company insures has an accident. Calculate the probability that the driver was age 16-20. 6. An insurance company issues life insurance policies in three separate categories: standard, preferred, and ultra-preferred. Of the company's policyholders, 50% are standard, 40% are preferred, and 10% are ultra-preferred. Each standard policyholder has probability 0.010 of dying in the next year, each preferred policyholder has probability 0.005 of dying in the next year, and each ultra- preferred policyholder has probability 0.001 of dying in the next year. A policyholder dies in the next year. What is the probability that the deceased policyholder was ultra-preferred?
Transcribed Image Text:۳:۳۹ م 150 Done STAT237 LAB 5_348cef10ed9ec0... STAT237: LAB5 1. Bag I contains 3 red and 4 black balls while another Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. Find the probability that it was drawn from Bag II. 2. The urns contain 6 green, 4 black; 4 green, 6 black and 5 green, 5 black balls respectively. Randomly selected an urn and a ball is drawn from it. If the ball drawn is Green, find the probability that it is drawn from the first urn. 3. In a factory which manufactures bolts, machines A, B and C manufacture respectively 25%, 35% and 40% of the bolts. Of their outputs, 5, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product and is found to be defective. What is the probability that it is manufactured by the machine B? 4. A factory uses two machines A and B for making socks. Machine A produces 10% of the total production of socks while machine B produces the remaining 90%. Now, 1% of all the socks produced by A are defective while 5% of all the socks produced by B are defective. Find the probability that a sock taken at random from a day's production was made by the machine A, given that it is defective 5. An auto insurance company insures drivers of all ages. An actuary compiled the following statistics on the company's insured drivers: | Age of Probability Portion of Company's Driver of Accident 16 - 20 21 - 30 31 - 65 66 - 99 Insured Drivers 0.06 0.03 0.08 0.15 0.02 0.04 0.49 0.28 A randomly selected driver that the company insures has an accident. Calculate the probability that the driver was age 16-20. 6. An insurance company issues life insurance policies in three separate categories: standard, preferred, and ultra-preferred. Of the company's policyholders, 50% are standard, 40% are preferred, and 10% are ultra-preferred. Each standard policyholder has probability 0.010 of dying in the next year, each preferred policyholder has probability 0.005 of dying in the next year, and each ultra- preferred policyholder has probability 0.001 of dying in the next year. A policyholder dies in the next year. What is the probability that the deceased policyholder was ultra-preferred?
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