Discrete Probability Distributions From historical data the

Discrete Probability Distributions

From historical data, the percentage of customer errors that are incorrect rate quotes is 0.2583. If a sample of 20 customer errors is selected,

(5 points) what is the probability that exactly 3 customer errors are incorrect rate quotes?

(5 points) what is the probability of at least 5 customer errors are incorrect rate quotes?

(5 points) what is the probability that between 3 and 5 (including 3 and 5) are incorrect rate quotes?

Solution

1)

The probability that exactly 3 customer errors are incorrect rate quotes

=(3/20)*0.2583 = 0.0387

2)

The probability of at least 5 customer errors are incorrect rate quotes

= 1 - (0.2583/20) (1+2+3+4)

= 0.0870

3)

The probability that between 3 and 5 (including 3 and 5) are incorrect rate quotes

= (0.2583/20) (3+4+5)

= 0.1549