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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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