iPad 1:05 PM Problem 6 (12 marks]. An airport limo can accommodate up to four pa
ID: 3049343 • Letter: I
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iPad 1:05 PM Problem 6 (12 marks]. An airport limo can accommodate up to four passengers on any one trip, which must be reserved ahead of time. The company will accept a maximum of six reservations per trip. From experience, 20% of those with reservations do not show up for their trip. Assuming independence: a) (3 marks) If six reservations are made, what is the probability that at least one ndi vidual cannot be accommodated on the trip? b) (6 marks) Suppose the probability mass function for the number of reservations made is given by #Of Reservations! 3 4 5 Probability 0 0.2 0.3 0.4 Find the probability mass function for X, the number of passengers (not reservations!) on a randomly selected trip. You may represent the PMF in a table, but be sure to show and justify all your work c) (3 marks) Is it realistic to assume independence here? Why or why not? Explain one way in which dependency would affect your probability calculations (be specific!)Explanation / Answer
a. p= prob. of success= 0.80
n = 6
x= no. of people came.
x follows binomial distrubution.
P[X=x] = nCx px (1-p)n-x
P [ X>=5] = 0.65536
b.
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