Question

In: Statistics and Probability

There is a process of laminating the gum at 0.08 inches and with a deviation of...

There is a process of laminating the gum at 0.08 inches and with a deviation of .01. What is the probability that a rubber flake will come out with more than 0.09 if you take a sample 5 flakes?

Expert Solution

Solution :

Given that,

mean = = 0.08

standard deviation = = 0.01

n=5

= =0.08

= / n = 0.01 / 5 = 0.004

P( > 0.09) = 1 - P( < 0.09)

= 1 - P[( - ) / < (0.09-0.08) / 0.004]

= 1 - P(z < 2.5)

Using z table

= 1 - 0.9938

probability= 0.0062

orchestra answered 2 years ago

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