Computing the standard deviation for distribution

Reference no: EM1315454

Q1) A group of 100 Blockbuster Video customers was considered. For each customer, number of videos checked out at one time was counted. 4 of customers rented no videos in their visit, 26 rented one video, 36 rented 2 videos, 20 rented 3 videos, and rest rented 4 videos. Letting X represents the number of videos checked out during their visit, develop probability distribution for X. Using distribution above, and compute the E(X).

Q2) It is known that 20% of ticketed passengers on Southwest Airlines flights end up being no-shows for their flights. Typical Southwest flight has 138 seats.

a) Determine the expected number of no-shows on any given flight, suppose 138 tickets were sold? In other words, compute E(X)-which is the expected value for this situation.

b) Now compute the standard deviation for this distribution,

c) We know that anything outside of two standard deviations is unusual. If 14 of passengers (out of 138) were no-shows, would this be considered unusual, or does this seem sensible to happen just by chance?

Reference no: EM1315454

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