A manufacturer of pins knows that 5% of his product is defective. If he sells pins in boxes of 100 and guarantees that not more than 4 pins will be defective. What is the probability that a box will fail to meet the guaranteed quality? A random sample of 1000 iron rods are tested for their length and it is found that the mean and standard deviation are 14.4 and 2.5 meters respectively. If the length is normally distributed then find (i) how many rods between 12 and 16 meters. (ii) what are chances that any rod selected at random will be 15 meters or above?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A manufacturer of pins knows that 5% of his product is defective. If he sells pins in
boxes of 100 and guarantees that not more than 4 pins will be defective. What is the
probability that a box will fail to meet the guaranteed quality?
A random sample of 1000 iron rods are tested for their length and it is found that
the mean and standard deviation are 14.4 and 2.5 meters respectively. If the length
is normally distributed then find (i) how many rods between 12 and 16 meters. (ii)
what are chances that any rod selected at random will be 15 meters or above?
Transcribed Image Text:A manufacturer of pins knows that 5% of his product is defective. If he sells pins in boxes of 100 and guarantees that not more than 4 pins will be defective. What is the probability that a box will fail to meet the guaranteed quality? A random sample of 1000 iron rods are tested for their length and it is found that the mean and standard deviation are 14.4 and 2.5 meters respectively. If the length is normally distributed then find (i) how many rods between 12 and 16 meters. (ii) what are chances that any rod selected at random will be 15 meters or above?
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