The phone lines to an airline reservation system are occupied 40% of the time. Assume that the events that the lines are occupied on successive calls are independent. Assume that 10 calls are placed to the airline. a. What is the probability that for exactly three calls, the lines are occupied?

0.2149 is the probability that for exactly three calls, the lines are occupied.

Step-by-step explanation:

We are given the following information:

We treat phone line being occupied as a success.

P(Adult need eye correction) = 40% = 0.40

Then the number of phone lines follows a binomial distribution, where

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

0.2149 is the probability that for exactly three calls, the lines are occupied.

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

it has the same slope and a different y-intercept

hope this : )