Axline Computers manufactures personal computers at two...

Axline Computers manufactures personal computers at two plants, one in Texas and the other in Hawaii. The Texas plant has 40 employees the Hawaii plant has 30. A random sample of 10 employees is to be asked to fill out a benefits questionnaire. Round your answers to four decimal places. a. What is the probability that none of the employees in the sample work at the plant in Hawaii? b. What is the probability that 1 of the employees in the sample works at the plant in Hawaii? c. What is the probability that 2 or more of the employees in the sample work at the plant in Hawaii? d. What is the probability that 9 of the employees in the sample work at the plant in Texas?

Transcript

00:01 So in this question we're assuming here that we have 40 employees in hawaii.

00:05 So i'm going to write as age and 30, sorry, texas.

00:12 So 40 in texas and 30 on hawaii.

00:18 Okay.

00:19 So basically this is what we have.

00:20 So in terms of number of employees, we have 70.

00:23 Okay.

00:25 So now for compute item a, which is the probability that none of the employees is in the is working on why this means that all of the 10 employees they are working taxes so we basically need to find what is the proportion of people working texas which is 40 divided by 70 and what is the proportion of them working on hawaii which is 30 divided by 70 so this means here but because none of them are working in hawaii means all of them are working on texas so this is the proportion and basically what we need to to do is put the proportion here for one, in this case, to work in texas.

01:08 And because we want all of them to work on texas, we put at power 10.

01:12 Because this proportion can be represented as the probability of working, if you random select employee, the probability that their worker works in texas.

01:24 So if you want all of them to work on in texas, this means that we should just put at power 10, which is the number of employees that we have.

01:33 So this he will give us 0 .0030.

01:37 For item b, we want like only one of the employees work on hawaii.

01:45 So we have 10 possible employees to work there.

01:48 So this means that i should multiply here 10 because we have 10 possibilities.

01:52 And we should write what is the probability that one of them work in hawaii.

01:57 So if this is the probability of one, like selecting one employee out of the 70 that works in hawaii...

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