Question

Your question

The weight of a basketball is normally distributed with a mean of 17 oz and a standard deviation of 2 oz. Suppose 500 different basketballs are in a warehouse. About how many basketballs weigh more than 19 oz?

Answer 1

79 balls.

Explanation:

First, let's calculate the z-score for 19 oz using the formula:

z = (x - u) / o

where:

x = sample score (19 oz)

u = mean (17 oz)

o = standard deviation (2 oz)

z = (19 - 17) / 2

z = 2 / 2

z = 1

Now, we need to find the probability of a z-score being greater than 1. We can use a standard normal distribution table or a calculator to find this probability.

P(z > 1) = 0.1587 (approximately)

This means that the probability of a basketball weighing more than 19 oz is approximately 0.1587.

To find the number of basketballs weighing more than 19 oz among the 500 basketballs in the warehouse, we can multiply the probability by the total number of basketballs:

Number of basketballs weighing more than 19 oz = 0.1587 * 500

Number of basketballs weighing more than 19 oz = 79

Therefore, approximately 79 basketballs in the warehouse weigh more than 19 oz.