The tensile strength of paper is modeled by a normal distribution with a mean of 35 pounds per square inch and a standard deviation of 2 pounds per square inch. what is the probability that the strength of a sample is less than 38 lb/in2? round your answer to 4 decimal places.

Question

Kirsten Olsen

Mathematics

8 December, 20:31

The tensile strength of paper is modeled by a normal distribution with a mean of 35 pounds per square inch and a standard deviation of 2 pounds per square inch. what is the probability that the strength of a sample is less than 38 lb/in2? round your answer to 4 decimal places.

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Answers (1)

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Mackenzie Francis · Answer 1

Given

mean=35 psi

std dev=2 psi

distribution normal

For probability that X<38,

calculate

Z score = (X-mean) / std dev

= (38-35) / 2=1.5

P (X<38)

=P (Z<1.5)

=0.9331928 from tables.

So probability that the strength of a random sample <38 pis = 0.9332