An electronic switching device occasionally malfunctions, but the device is considered satisfactory if it makes, on average, no more than 0.20 error per hour. A particular 5-hour period is chosen for testing the device. If no more than 1 error occurs during the time period, the device will be considered satisfactory. (a) What is the probability that a satisfactory device will be considered unsatisfactory on the basis of the test? Assume a Poisson process.
(b) What is the probability that a device will be accepted as satisfactory when, in fact, the mean number of errors is 0.25? Again, assume a Poisson process.

Solution :

It is given that the device works satisfactorily if it makes an average of no more than errors per hour.

The number of errors thus follows the Poisson distribution.

It is given that in hours test period, the number of the errors follows is

=

= 1 error

Let X = the number of the errors in the hours

Now that we want to find the that a will be misdiagnosed as "" on the basis of this test. We know that device will be unsatisfactory if it makes more than error in the test. So we will determine probability that X is greater than to get required answer.

So the required probability is :

So the that the will be misdiagnosed as "" on the basis of the test whose result is 0.264241

step-by-step explanation:

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.