Model United Nations is an authentic simulation of the UN General Assembly, and

Question

Model United Nations is an authentic simulation of the UN General Assembly, and students are "delegates" of UN member states, from Afghanistan to Zimbabwe to debate current issues on the Organization's agenda. Michigan State University International Relations Organzation (MSU-IRO) has a World Division top 25 travel team. A team of MSU student:s travels to Model UN conferences organized by students in Philadelphia, Montreal, or elsewhere. Suppose the club plans to share a van for the MSU team to travel to the next Model UN Conference. Assume gas prices are such that the cost for the road trip (round trip) can be modeled by a normally distributed random variable X with mean $ 198 and standard deviation $ 10. Answer the following questions: What is the probability that the round trip cost are between 168 and 218? [round to 4 decimal places] 0.9759 Computer's answer now shown above. You are correct. Your receipt no. is 163-94440) Previous Tries What is the probability that the round trip cost is at most 211? [round to 4 decimal places] 0.9032 Computer's answer now shown above. You are correct. Your receipt no. is 163-6022 Suppose x is such that: P(X x) = 0.5. Then [round to 1 decimal place] 198.0 Computer's answer now shown above. You are correct. Your receipt no. is 163-30656) iou What is the IQR (inter-quartle range) of X? [round to 1 decimal place] 0 Submit Answer Incorrect. Tries 1/3 Previous Tries If the MSU team makes these trips over the next 6 years with similar gas prices, what is the probability that the average road trip costs at most 218 [round to 4 decimal places] Submit Answer Tries 0/3

Explanation / Answer

The z scores for the first quartile (25%) and third quartile (75%) are -0.6745 and 0.6745, respectively.

Use this formula,

z = (x - µ)/

-0.6745 = (x - 198)/10

x = 198 - 0.6745(10) = 191.255 (first quartile)

0.6745 = (x -198)/10

x = 198 + 0.6745(10) = 204.745 (third quartile)

Interquartile =third quartile-first quartile=204.745-191.255=13.49

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