Use the following information to answer Questions 10 11 The

Use the following information to answer Questions 10 -11.
The time that it takes to receive a client

Solution

1.

m = 3.8

sd = 1.2

x=2

P(x<2) = P(z<(2-3.8)/1.2)

P(x<2) = P(z<-1.5)

P(x<2) = 0.0668

2.

P(x>4.4) = 1 - P(x<4.4)

P(x>4.4) = 1 - P(z<(4.4-3.8)/1.2)

P(x>4.4) = 1 - P(z<0.5)

P(x>4.4) = 1 - 0.6915

P(x>4.4) = 0.3085

3.

rate per hour is 15

rate per 30 minute is 7.5

so mean = 7.5

P(x=r) = e^(-m) * m^r / r!

P(x<=2) = P(x=0) + P(x=1) + P(x=2)

P(x<=2) = e^(-7.5) + e^(-7.5) * 7.5 + e^(-7.5) * 7.5^2 / 2

P(x<=2) = 0.02025

option B

4.

None of the above is correct.