Psychology and Human Behavior Drivers entering the Quaker Bride Mall parking lot

Question

Psychology and Human Behavior Drivers entering the Quaker Bride Mall parking lot at the main entrance may turn left, right, or go straight. An experiment consists of recording the direction of the next car entering the mall and the vehicle style (sedan, SUV, van, or pickup). Consider the following events. A 5 The next vehicle is a van. B 5 The next vehicle is a sedan or pickup. C 5 The next vehicle turns left. D 5 The next vehicle goes straight or turns right. a. Find the sample space S for this experiment. b. List the outcomes in each of the events A, B, C, and D. c. List the outcomes in the events C c D and C d D. Psychology and Human Behavior Drivers entering the Quaker Bride Mall parking lot at the main entrance may turn left, right, or go straight. An experiment consists of recording the direction of the next car entering the mall and the vehicle style (sedan, SUV, van, or pickup). Consider the following events. A 5 The next vehicle is a van. B 5 The next vehicle is a sedan or pickup. C 5 The next vehicle turns left. D 5 The next vehicle goes straight or turns right. a. Find the sample space S for this experiment. b. List the outcomes in each of the events A, B, C, and D. c. List the outcomes in the events C c D and C d D.

Explanation / Answer

a) Sample space, S = {Sedan and turns left, Sedan and turns right, Sedan and goes straight,
                                SUV and turns left, SUV and turns right, SUV and goes straight,
                                van and turns left, van and turns right, van and goes straight,
                                pickup and turns left, pickup and turns right, pickup and goes straight}

b) Outcomes of A = {van and turns left, van and turns right, van and goes straight}
Outcomes of B = {Sedan and turns left, Sedan and turns right, Sedan and goes straight,
                             pickup and turns left, pickup and turns right, pickup and goes straight}
Outcomes of C = {Sedan and turns left, SUV and turns left, van and turns left, pickup and turns left}
Outcomes of D = {Sedan and turns right, Sedan and goes straight,
                             SUV and turns right, SUV and goes straight,
                             van and turns right, van and goes straight,
                             pickup and turns right, pickup and goes straight}

c) C U D = Sample space = {Sedan and turns left, Sedan and turns right, Sedan and goes straight,
                                SUV and turns left, SUV and turns right, SUV and goes straight,
                                van and turns left, van and turns right, van and goes straight,
                                pickup and turns left, pickup and turns right, pickup and goes straight}

C D = {} null set

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