Overbooking flights is a common practice of most airlines. A particular airline, believing that 5% of passengers fail to show for flights, overbooks (sells more tickets than there are seats). Suppose that for a particular flight involving a jumbo-jet with 265 seats, the airline sells 278 tickets. Question 1. What is the expected number of ticket holders that will fail to show for the flight

The expected number of ticket holders that will fail to show for the flight is 13.9.

Step-by-step explanation:

For each ticket holder, there are only two possible outcomes. Either they fail to show up for the flight, or they do not. Ticket holders are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

5% of passengers fail to show for flights

This means that

278 tickets sold

This means that

What is the expected number of ticket holders that will fail to show for the flight?

The expected number of ticket holders that will fail to show for the flight is 13.9.

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

step-by-step explanation: