1) An engineer is interested in travel patterns in Washington D.C. Three hundred
ID: 3125082 • Letter: 1
Question
1) An engineer is interested in travel patterns in Washington D.C. Three hundred randomly chosen vehicles are observed with the following results with respect to the type of vehicle driven and the street chosen: TOTAL OTHER MADISON CONNECTICUT SUV 100 20 SEDAN OTHER 300 TOTAL (a) Interpret this table in our probability language meaning identify all the given probabilities. at random is an SUv or it travels down (b) What is the probability that a vehicle selected Connecticut Avenue? (driving a suv) mutually (c) Are the events A (Traveling down Madison Avenue) and B exclusive? Justify your answer mathematically. that it travels (d) If we happen to know that an SUV was selected, what is the probability down Madison Avenue?Explanation / Answer
b)P(A U B) =P(A) + P(B) - P(A intersection B)
P(SUV or Connecticut) = 0.333 + 0.467 - 0.1 = 0.7
c) No they are Not Mutually exclusive P(A intersection B) is not zero i.e (=0.167)
d)if Suv is selcted
total for Suv =100
Madison =50
P(Madison/Suv)= 50/100= )= 0.5
Madison connecticut other total suv 50/300 = 1/6 = 0.167 30/300= 1/10 = 0.1 20/300 = 1/15 = 0.067 100/300= 1/3= 0.333 sedan 20/300 = 1/15 = 0.067 100/300= 1/3= 0.333 30/300= 1/10 = 0.1 150/300= 1/2 =0.5 other 20/300 = 1/15 = 0.067 10/300= 1/30= 0.033 20/300 = 1/15 = 0.067 50/300 = 1/6 = 0.167 total 90/300 = 9/30 = 0.3 140/300 = 7/15 = 0.467 70/300= 7/30 = 0.233 300/300 = 1Related Questions
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