Each of a sample of three home mortgages is classified as fixed rate (F) or vari

Question

Each of a sample of three home mortgages is classified as fixed rate (F) or variable rate (V). What are the 8 outcomes in the sample space? Which outcomes are in the event that exactly two of the selected mortgages are fixed rate? Which outcomes are in the event that all three mortgages are of the same type? Which outcomes are in the event that at most one of the three is a variable-rate mortgage? Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or go straight (S). Consider observing the direction for each of three successive vehicles. List all outcomes in the event A that all three vehicles go in the same direction. List all outcomes in the event B that all three vehicles take different directions. List all outcomes in the event C that exactly two of the three vehicles turn right. List all outcomes in the even D that exactly two vehicles go in the same direction List outcomes in D', C U D, and C n D.

Explanation / Answer

a) below are the list of 8 outcomes

b) event 2 and 8 are the outcomes where exactly 2 of selected mortgages have fixed rate.

c) outcome 1 and 5

d)event 1,2,3,8 are events where at most 1 have variable rate.

2) total outcomes are

a) outcomes :1,10,19

b)outcome: 8,9,17,18,26,27

c)outcome: 6,11.12,13,14,24

d)outcome :2,3,4,5,6,7,11,12,13,14,15,16,20,21,22,23,24,25

e) D' will be all outcome except which are in part D: outcome: 1,8,9,10,17,18,19,26,27

CUD outcome=outcome in D: 2,3,4,5,6,7,11,12,13,14,15,16,20,21,22,23,24,25

CnD =outcome in C =6,11.12,13,14,24

outcome Number 1st home 2nd home 3rd home 1 F F F 2 F F V 3 F V F 4 F V V 5 V V V 6 V V F 7 V F V 8 V F F

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