Question

A sample space is discrete if it consists of a finite or countable infinite set of outcomes. Consider the number of work operations at a site the sample space. If the site has 3 departments and each department has 5 separate work operations, how many work operations are in the sample space?

If the departments are assembly, packaging, and distribution. How many outcomes are in the event assembly (that is within the entire sample space)?

Consider the same example, and assume that the operations have the same likelihood. What is the probability that an operation at the plant is within the packaging department?

Answer 1

1)

Number of work operations that are in the sample space = 3*5 =15

(because there are 3 departments and each has 5 work operations)

2)

Number of outcomes that are in the event assembly = 5

(because given that each department has 5 separate work operations)

3)

As each operation has the same likelihood, we have P(w1)= P(w2)=....=(P(w15) = 1/15

Now,

the probability that an operation at the plant is within the packaging department = number of operations in the packaging department * likelihood for one operation

=5 * (1/15)

=5/15

=1/3

=0.3333

Thus the probability that an operation at the plant is within the packaging department= 0.3333

Please upvote. Thank You.