Part II. Multiple Choice (6 Points Each) 1. a certain sample space, the followin

Question

Part II. Multiple Choice (6 Points Each) 1. a certain sample space, the following probabilities are given: PAla-0.40 PB-0.70 PA and B) is equal to B) ,525 C) 571 D) .120 2. The following probabilities are given about events A and B in a sample spacer P(A) 0.35 B)-0.60 PiA or B)-0.70 We can therefore say that A) A and B are mutually exclusive B) P(A and B)- .15 C) P(A and B) 25 D) PIA and B)-35 3. Which is a not a discrete random variable? __ A) The number of defects in a 4x8 sheet of plywood. B) The gender of the next passenger to board a plane. C) The time until failure of an automobile headlamp. D) The number of correct answers on a statistics exam. 4. Consider the following probability distribution of the variable X: $100 150 200 250 300 Sum 10 .20 30 .30 10 1.00 The expected value of this variable is A) $175 B) $150 C) $205 D) $200

Explanation / Answer

Q1) P( A and B) = 0.4*0.3 = 0.12

Option D is Correct

Q2) P( A or B) = P(A)+P(B)-P( A and B)

0.70=0.35+0.60-P( A and B)

P( A and B) = 0.25

Option C is Correct

Q3) Option C variable is not a discrete variable because time is continuous

Q4) Expected value = 0.10*100+0.20*150+0.30*200+0.30*250+0.10*300 = 205

Option C is Correct

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