SOLUTION: Clients enter a tax preparer's office at an average rate of 8 per hour. They enter randomly and independently of one another. Express your answers to four decimal places.

Question 1085112: Clients enter a tax preparer's office at an average rate of 8 per hour. They enter randomly and independently of one another.
Express your answers to four decimal places. Express the probabilities as decimal fractions -- not as percentages.
a. What is the probability that exactly 7 clients will enter the office in the next half hour?
nothing
b. What is the probability that at least one client enters the office in the next half hour?
nothing
c. What is the mean of the number of clients who will enter the office in the next half hour?
nothing
d. What is the variance of the number of clients who will enter the office in the next half hour?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
This would be a Poisson distribution with mean 4 for a half hour
Therefore,
c=4 people
d=4 people^2, since Poisson has mean=variance.
Probability of 7 is e^(-4)*4^7/7!=0.0595
probability of 0 clients is e^(-4)=0.0183
1-0.0183=0.9817; this is the probability of at least 1 client.
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SOLUTION: Clients enter a tax&#8203; preparer's office at an average rate of 8 per hour. They enter randomly and independently of one another. Express your answers to four decimal places.

SOLUTION: Clients enter a tax preparer's office at an average rate of 8 per hour. They enter randomly and independently of one another. Express your answers to four decimal places.