**Answer:**

a) 0.964

b) 0.500

c) 0.885

d)

e) 0.997

**Step-by-step explanation:**

We are **given the following information** in the question:

Mean, μ = 30000

Standard Deviation, σ = 1500

We are given that the distribution of attendance at stadium is a bell shaped distribution that is a normal distribution.

**Formula:**

a) **P(attendance is greater than 27,300)**

P(x > 27300)

Calculation the value from standard normal z table, we have,

b) **P(attendance greater than or equal to 30000)**

Calculating the value from the standard normal table we have,

c) **P(attendance between 27000 and 32000)**

e) **P(attendance less than 33000)**

P(x < 33000)

Calculating the value from the standard normal table we have,

P(x < 33000) = 0.997 = 99.7%

d) We have to find x such that:

Calculating the value from the standard normal table we have,

P(z = 1.645) = 0.95

Thus,

**The attendance should be greater than or equal to 32467.5 to be in the top 5% of all games.**