Anew phone answering system for a company is capable of handling sevenseven calls every 10 minutes. prior to installing the new system, company analysts determined that the incoming calls to the system are poisson distributed with a mean equal to fourfour every 10 minutes. if this incoming call distribution is what the analysts think it is, what is the probability that in a 10-minute period more calls will arrive than the system can handle?

0.0166

Step-by-step explanation:

P = probability of more calls than system can handle = 1 – (probability of 0 calls + probability of 1 call + probability of 2 calls + probability of 3 calls + probability of 4 calls + probability of 5 calls)

Thus,

step-by-step explanation:

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the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet