Imagine you and Janice are the only ones working as telemarketers for a large cooperation. You make 70% of the calls and each call takes you Exponential amount of time with parameter λ1 = 2 hrs-1 . Janice, on the other hand, makes the remaining 30% of total calls. Each call takes her Exponential amount of time with parameter λ2 = 4 hrs-1 . A certain call was made 30 minutes ago and it is still ongoing. What is the probability that you made this call?

The probability that you made this call is 0.8639.

Explanation:

Parameter for you = λ1 = 2

⇒ β1 = 1 / λ1 = 1 / 2 = 0.5

Parameter for Janice = λ2 = 4

⇒ β2 = 1 / λ2 = 1 / 4 = 0.25

Probability that you made a for 0.5 hours or more:

Probability that Janice made a for 0.5 hours or more:

Overall probability that a call was made for 0.5 hours of more

= (0.7 x 0.3679) + (0.3 x 0.1353)

= 0.2981

Probability that you made the given call

= 0.7 x 0.3679 / 0.2981

= 0.8639

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

answer: it is a.,b.,d.

step-by-step explanation: