A basketball has a diameter of 9.5 inches across while a soccer ball has a diameter of 9 inches across. How much more air can the basketball hold than the soccer ball when both are fully inflated?

The volume of the basket ball = ± 55 times greater than the tennis ball

Step-by-step explanation:

a) z = 1.16

b) P(x ≥ 2) = 0.8508

c) z = 1.555

Step-by-step explanation:

a) Find z such that 87.7% of the standard normal curve lies to the left of z.

Lies to the left, so it has a pvalue of 0.877. This is z = 1.16

b) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability.

μ = 2.4; σ = 0.35

P(x ≥ 2) =

This is 1 subtracted by the pvalue of Z when X = 2, in which

has a pvalue of 0.1492.

So

P(x ≥ 2) = 1 - 0.1492 = 0.8508.

c) Find z such that 6% of the standard normal curve lies to the right of z.

To the right, so z has a pvalue of 1-0.06 = 0.94%. So z = 1.555.