Question

In: Statistics and Probability

1) A) A manufacturer knows that their items have a normally distributed lifespan, with a mean...

1)

A) A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3 years, and standard deviation of 0.6 years.

If you randomly purchase one item, what is the probability it will last longer than 2 years?

Use the normal table and round answer to four decimal places

B) In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.8 inches, and standard deviation of 4.6 inches.

What is the probability that the height of a randomly chosen child is between 60.8 and 62.1 inches?

Use the Normal table and give answer to 4 decimal places

Solutions

Expert Solution

Solution-

A) A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3 years, and standard deviation of 0.6 years.

If you randomly purchase one item, the probability it will last longer than 2 years is 0.9522

◆ Probability calculation-



B) In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.8 inches, and standard deviation of 4.6 inches.

the probability that the height of a randomly chosen child is between 60.8 and 62.1 inches is 0.0676

◆ Probability calculation-

orchestra answered 2 years ago
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