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2 answers:
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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.