Question

1) A local bank has determined that on average a teller can process 5 transactions per 15 minutes. What is the new mean of processed transactions if the time is changed to a 25 minute interval?

Group of answer choices

8.33

5

7

Unknown

2) Fifteen cars are inspected for California emissions compliance. Twelve were found to be compliant and 3 were not. A sample of 7 cars is chosen at random. What is the probability that all 7 cars chosen are compliant?

Group of answer choices

.4285

.80

.2520

.1231

3) In a Poisson distribution, if the mean is 4 calls per hour, what is the variance?

Group of answer choices

2

.5

Unknown

4

Answer 1

1) Given that,

A local bank has determined that on average a teller can process 5 transactions per 15 minutes.

For transactions per minutes = ( 5 / 15 ) = 0.3333

  the new mean of processed transactions if the time is changed to a 25 minute interval is,

= transactions per minutes * 25 = 8.33

2) Given that,

Total number inspected for California emissions compliance.= N = 15

Number of compliant = s = 12

Number of not compliant = 3

sample size= n=7

  

= 0.3692

3) for the poisson distribution the mean and the variance are the same.

Therefore vaiance = 4