The probability that a randomly selected piece of the plastic will have a lifetime less than 8.996 years is (b)The probability that a randomly selected piece of the plastic will have a lifetime between 6.356 and 8.996 years is (c) 99.80% of the plastic will have a lifetime less than how many years.

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Please assist to solve the question below:

The lifetimes of a certain biodegradable plastic are Normally distributed, with a mean of 9.5 years and standard deviation of 2.4 years.
(a) The probability that a randomly selected piece of the plastic will have a lifetime less than 8.996 years is

(b)The probability that a randomly selected piece of the plastic will have a lifetime between 6.356 and 8.996 years is

(c) 99.80% of the plastic will have a lifetime less than how many years.

 

Thanks.

Expert Solution
Step 1

Let X denotes the lifetime of a certain biodegradable plastic. Given that X follows N(mean = 9.5, SD = 2.4), then

Z = (X - mean)/SD follows N(0,1)

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