## A Worldwide sales of fast foods . the worldwide sales(in billions of dollars) for several fast-food franchises for a specific year are shown.construct a horizontal bar graph and a pareto chart for the data.

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# Probability and Statistics

## Problem 8: A box contains two black stones and four white stones. One is randomly selected and not replaced before another is randomly selected. a) Draw a tree diagram to show all the possible outcomes. b) Calculate the probability of selecting: i. A black stone and a white stone, in that order. ii. A black stone and a white stone, in any order. iii. At least one black stone. Problem 9: ABCDEF is a regular hexagon. AB = a, BC = b and FC 2a А а в b 2a F с E D х a) Find in terms of a and b, a representation of the following vectors: i. FE ii. CE b) Knowing that CE = EX prove that that FX is parallel to CD

## Exercise: Neon lights Neon lights on the U of A campus are replaced at the average rate of 100 units per day; in fact, the daily demand for new lights is normal with mean 10o and standard deviation 10 units. The physical plant orders neon lights periodically. It costs $100 to initiate a purchase order. A neon light kept in storage is estimated to cost $o.02 per day. The lead time between placing and receiving an order is 2 days. Determine the optimal ordering policy such that the probability of running out of stock is 0.05

EXPERT ANSWER There are 2 black stones and 4 white stones. a)The tree diagram ahowing possible outcomes is given below. b) i)The number of permutations of selecting 2 from 2+4=6 (order important) is . The number of possible ways of selecting a black stone and then a white stone (order important) is . The required probability is . …

EXPERT ANSWER D = Demand per day = 100 (the replacement per day) S = Ordering cost = $100 h = Holding cost per item per day = $0.02 L = Average lead time = 12 We will apply EOQ formula to determine the optimal order quantity Q*. = 1000 Reorder point = R = …