What is the chance to get the results with I head? 22) Given that the outcomes w

Question

What is the chance to get the results with I head? 22) Given that the outcomes with I head, what is the probability that the 2nd flip is 21) a. 0.0136 b. 0.0156 c. 0.0176 d. 0.0216 e. 0.0236 a. 0.0511 b. 0.0711 d. 0.1511 e. 0.0311 If 85 percent of all vehicles at a certain emissions inspection pass the inspection. Assuming that successive vehicles pass or fail independently of one another. Calculate the followin probabilities: 23) All of the next five vehicles inspected 25) Exactly three of the next five vehicles a. 0,4497 b. 0.4477 c. 0.4457 d. 0.4937 e. 0.4437 a. 0.1372 b. 0.1382 c. 0.1362 d. 0.1352 e. 0.1332 24) At least one of the next five vehicles Given that at least one of the next five vehicles inspected fail, what is the probability that exactly three of the next five vehicles inspected fail. 26) inspected fail a. 0.5553 b. 0.5563 c. 0.5543 d. 0.5533 e. 0.5513 a. 0.2084 b. 0.2284 c. 0.2484 d. 0.2884 e. 0.3084 A Statistics teacher give two independent exams to his students. The probability that a student fails only the first exam is 8 percent. The probability that a student fails only the second exam is percent Assuming that the failure rate cannot be greater than 50%, what could be the probability that a randomly selected student will fail both exams? 27) 28) What is the probability that a randomly selected student will fail both exam given that he (she) fail the first exam? a. 0.0050 b. 0.0110 a. 0.1149 b. 0.1209 c. 0.1229 d. 0.1249 e. 0.1129 d. 0.0150 e. 0.0102 CL OFp ON

Explanation / Answer

23)
Probability that next 5 vehicles inspected pass = 0.85^5 = 0.4437
Correct option is (e)

24)
Probability of atleast one of next 5 vehicle fail inspection = 1 - Probability that all next 5 vehicles inspected pass
= 1 - 0.4437 = 0.5563
correct option is (b)

25)
Probability of exactly three of next 5 vehicle pass inspection =

5C3 * 0.853 * (1 - 0.85)5 - 3 = 10 * 0.853 * 0.152 = 0.1382 (Using binomial probability formula nCx * Px * (1 - P)n - x)

So, correct option is b

26)

The question has some printing errors. It should be asking probability of exactly three of next 5 vehicle pass inspection

Given atleast one of vehicles inspected fail, Probability of exactly three of next 5 vehicle pass inspection
= (Probability of exactly three of next 5 vehicle pass inspection and atleast one of vehicles inspected fail) / Probability that atleast one of vehicles inspected fail
= (Probability of exactly three of next 5 vehicle pass inspection) / Probability that atleast one of vehicles inspected fail
= Probability of exactly three of next 5 vehicle pass inspection / 0.5563

= 0.1382 / 0.5563 = 0.2484

So, correct option is c.

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