Question

Mary is deciding whether to book the cheaper flight home from college after her final exams, but she's unsure when her last exam will be. She thinks there is only a 10% chance that the exam will be scheduled after the last day she can get a seat on the cheaper flight. If it is and she has to cancel the flight, she will lose $250. If she can take the cheaper flight, she will save $150. a) If she books the cheaper flight, what can she expect to gain, on average? b) What is the standard deviation? a) If she books the cheaper flight, what can she expect to gain, on average? On average, she can expect to gain $ . b) What is the standard deviation? The standard deviation is $ |- (Round to the nearest dollar as needed.)

Answer 1

solution:-

from the given question

X	150	-250
P(X)	0.90	0.10

a) average μ = Σx*p(x)

= 150*0.90 -250*0.10

= 110

b) standard deviation = sqrt(Σx^2*p(x)-μ^2)

= sqrt((150^2*0.90 +(-250)^2*0.10)-110^2)

= 120