Question

1. A manufacturer knows that their items have a normally distributed length, with a mean of...

1. A manufacturer knows that their items have a normally distributed length, with a mean of 17.5 inches, and standard deviation of 5.1 inches.

If one item is chosen at random, what is the probability that it is less than 14.3 inches long?

2. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6 years, and standard deviation of 0.8 years.

If you randomly purchase one item, what is the probability it will last longer than 8 years?

3. A particular fruit's weights are normally distributed, with a mean of 711 grams and a standard deviation of 8 grams.

If you pick one fruit at random, what is the probability that it will weigh between 732 grams and 734 grams

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