Suppose that the weight of naval oranges is normally distributed with mean of 8 oz and...

Suppose that the weight of naval oranges is normally distributed with mean of 8 oz and standard deviation of 1.5 oz.

1. Find the probability that a randomly selected orange weighs more than 11.5 oz?

2. Find the probability that at a randomly selected orange weights less than 9.7 oz.

3. What proportion of oranges weight between 9.2 oz and 11.7 oz?

4. Find the value of X for which 80% of the oranges have a weight less than this value. In other words, find the 80th percentile.

5. If nine oranges are randomly selected, what the probability that their sample mean weight is less than 11.2 oz?

6. If 17 oranges were randomly selected, what is the probability that their sample mean weight is more than 12 oz?

7. What would be the minimum weight of an orange that places it in the top 10% of weights?

Expert Solution

orchestra answered 1 year ago

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