On average, 100 cars enter DOP Parking per hour on a Tuesday. a. What is the exp

Question

On average, 100 cars enter DOP Parking per hour on a Tuesday.

a. What is the expected number of cars that enter the parking lot between 8 am and 9 am on a Tuesday?

b. What is the standard deviation of number of cars that enter the parking lot between 8:30 am and 9 am on a Monday?

c. What is the probability that 55 cars enter the parking lot between 8:30 am and 9 am on a Tuesday?

Previous answer (Q)

Given : n = 25 p = 0.2 Therefore , q = 1 - p = 0.8

a ) Here , The possible values of X are 0 , 1 , ..........., 25

Therefore , X is a discrete random variable

c ) Mean = np = 25 * 0.2 = 5

d ) Variance = npq = 25 * 0.2 * 0.8 = 4

e ) P ( X = 2 ) = 0.708 probabilities from statistical table

Explanation / Answer

Result:

Tonight the Toronto Maple Leafs is going to play with Edmonton Oilers at the Rogers Center. We know that 80% of people in the stadium are Maple Leafs fans, 15% are Oilers fans, and the remaining 5% do not like hockey at all and they are there just for fun! We randomly select 2 people in the stadium. What is the probability that at least one of them is an Oilers fan? Please report your final answer in percent.

Probability of Oilers fans = 0.15

n=2

P( at least 1) = P( 1)+P( 2)

=2C1*0.15^1*0.85^1+2C2*0.15^2*0.85^0

=0.255+0.0225

=0.2775

Answer= 27.75%

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.