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In: Statistics and Probability

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.3...

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.3 years, and standard deviation of 2.4 years.
If you randomly purchase one item, what is the probability it will last longer than 7 years? (Give answer to 4 decimal places.)

A particular fruit's weights are normally distributed, with a mean of 645 grams and a standard deviation of 18 grams.
The heaviest 13% of fruits weigh more than how many grams?
Give your answer to the nearest gram.

Suppose that 59% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?
(Give your answer as a fraction or decimal rounded to 3 places)

About 9% of the population has a particular genetic mutation. 1000 people are randomly selected.
Find the mean for the number of people with the genetic mutation in such groups of 1000. (Remember that means should be rounded to one more decimal place than the raw data.)

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orchestra answered 1 year ago
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