Tuesday

September 2, 2014

September 2, 2014

Posted by **maria** on Tuesday, March 19, 2013 at 10:37pm.

a. What is the probability that three cars will arrive to use the diesel pump during a 1-hour period?

b. Suppose the owner needs to shut down the diesel pump for half an hour to make repairs. However, the owner hates to lose any business. What is the probability that no cars will arrive to use the diesel pump during a half-hour period?

c. Suppose five cars arrive during a 1-hour period to use the diesel pump. What is the probability of five or more cars arriving during a 1-hour period to use the diesel pump?

- statistics -
**MathGuru**, Wednesday, March 20, 2013 at 7:19pmPoisson distribution (m = mean):

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

Determining m:

3.2 cars every 2 hours

1/2(3.2) cars every hour = 1.6

1/4(3.2) cars every 1/2 hour = 0.8

For a):

x = 3

m = 1.6

Substitute into the formula and find the probability.

For b):

x = 0

m = 0.8

Substitute into the formula and find the probability.

For c):

x = 0,1,2,3,4

m = 1.6

Find the probabilities and add for a total. Take that value and subtract from 1.

I hope this will help get you started.

**Answer this Question**

**Related Questions**

math - customers arrive at a 3 gas station at an exponential rate 20 cars per ...

statistics - If 50% of the automobiles sold by an agency for a certain car are ...

physics - a diesel engine rapidly compresses air in its combustion chambers. ...

Physics - Sewage at a certain pumping station is raised vertically by 5.57 m at ...

physics - Sewage at a certain pumping station is raised vertically by 5.27 m at ...

Physics - Inside the cylinders of a diesel engine, the mixture of fuel and air ...

Statistics - A sign on the gas pump of a certain chain of gasoline stations ...

4th grade math - unleaded regular - $1.89 per gallon unleaded premium - $1.94 pr...

Calculus - A team has been working to convert diesel-powered cars to run just as...

physical science - Inside the cylinders of a diesel engine, the mixture of fuel ...