A company manufactures two types of cables, brand R and brand Q. Brand R has mean breaking strength of 4500kg with a standard deviation 400kg, while brand Q have mean breaking strength of 4800kg with a standard deviation 200kg. i) What is the probability the mean breaking strength brand R is less than 4890kg? ii) What is the probability the difference breaking strength between these two brands is greater than 200kg? iii) If 80 cables of brand R and 70 cables of brand Q are tested, what is the probability that the sample mean of breaking strength brand Q is better than brand R?
A company manufactures two types of cables, brand R and brand Q. Brand R has mean breaking strength of 4500kg with a standard deviation 400kg, while brand Q have mean breaking strength of 4800kg with a standard deviation 200kg. i) What is the probability the mean breaking strength brand R is less than 4890kg? ii) What is the probability the difference breaking strength between these two brands is greater than 200kg? iii) If 80 cables of brand R and 70 cables of brand Q are tested, what is the probability that the sample mean of breaking strength brand Q is better than brand R?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A company manufactures two types of cables, brand R and brand Q. Brand R has
of 4500kg with a standard deviation 400kg, while brand Q have mean breaking strength of 4800kg with a
standard deviation 200kg.
i) What is the
ii) What is the probability the difference breaking strength between these two brands is greater than
200kg?
iii) If 80 cables of brand R and 70 cables of brand Q are tested, what is the probability that the sample
mean of breaking strength brand Q is better than brand R?
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