Question

find P(V or S):

Given the contingency table shown here, find PIV or ). Vehicle Type Car (C) Minivan (M) Full-Size Van (F) SUV (V) Truck (T) Col Total Somerset (S) 44 21 2 19 14 Oakland (0) 49 15 3 Great Lakes (G) 36 18 3 26 17 Row Total 129 54 8 72 37 27 6 100 100 100 300

answer: a. .4300 b. .0475 c. .5100 d. .4775

Answer 1

P(V) = No. of SUV/Grand Total = 72/300

P(S) = Total vehicles in Somerset/ Grand Total = 100/300

P(V and S) = $P(V\cap S)$ = No of SUVs in Somerset/300 = 19/300

We know,

P(V or S) = $P(V\cup S) = P(V) + P(S) - P(V\cap S)$

$=\frac{72}{300} +\frac{100}{300}-\frac{19}{300}=0.51$

Ans: Option C