SOLUTION: Exercise. A machine has averaged a 97 percent pass rate per day. What is the probability of having more than 7 defective products in one day?

Question 1076550: Exercise. A machine has averaged a 97 percent pass rate per day. What
is the probability of having more than 7 defective products in one day?

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
the probability of failing the test is 1 -0.97 = 0.03
:
Use Poisson probability distribution
:
The probability that there are
r occurrences in a given interval = lamda^r * e^-lamda / r!, where e = 2.7128 and lamda is the mean number of occurrences in a time period
:
use a Poisson distribution calculation
:
P( X > or = 7 ) = 9.9E^-13
:

RELATED QUESTIONS
Two percent of the parts produced by a machine are defective. Twenty parts are selected... (answered by stanbon)

The U.S. mint, which produces billions of coins annually, has a mean daily defect rate of (answered by robertb)

A machine produces widgets at a defective rate of 10%. A sample of 7 widgets is taken,... (answered by stanbon)

7.Ten percent of the items produced by a machine are defective. Out of 15 items chosen at (answered by stanbon)

Two percent of the parts produced by a machine are defective. Twenty parts are selected... (answered by stanbon)

A machine that manufactures automobile parts produces 15% defective parts of the time. (answered by Edwin McCravy)

A machine that manufactures automobile parts produces 15% defective parts 7 of the... (answered by Boreal)

A machine that manufactures automobile parts produces defective parts 13% of the time.... (answered by Boreal)