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A car salesman has a 3% chance of landing a sale with a random customer on...

A car salesman has a 3% chance of landing a sale with a random customer on his lot. Suppose 10 people come on the lot today. The following table shows a portion of the probability distribution.

X P(x)
0 -
1 -
2 -
3 0.0026
4 0.0001
5 0.0000
6 0.0000
7 0.0000
8 0.0000
9 0.0000
10 0.0000


i. Calculate the probability that he sells exactly two cars today.

ii. Use the probability distribution to find the probability that he sells more than two cars today.

iii. Suppose 500 people come on the lot in a year. What is the expected number of cars he is going to sell in a year? What is the standard deviation?

math   Statistics-And-Probability   
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