QUESTION 10 Two events A and B are mutually exclusive, and P(A) > P(8). Which one of the following statements is incorrect? O a. PLA U B) = P(A) + P(B) O b. PLAN not-B8) = P(A) - P(8) O c. Pinot-A) < P(not-B) O d. PIA N B) = 0

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Chapter1: Combinatorial Analysis
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question 10, 11 and 12 they are all multichoice please thank you !

 

QUESTION 10
Two events A and B are mutually exclusive, and PA) > P(B). Which one of the following statements is incorrect?
O a. PIA U B) = P(A) + P(B)
O b. PLAN not-B8) = P(A) - P(8)
O C. Pfnot-A) < P(not-B)
O d. PIAN B) = 0
QUESTION 11
In a certain country, 70% of drivers have car insurance. Let X denote the number of drivers with car insurance from a sample of 10 randomly selected drivers. Choose all
the correct answers.
Note that you willget a penalty mark for choosing an incorrect answer.
There is no penalty for not choosing a correct answer, but also no marks are awarded for a correct answer that is not selected.
O a. PIX=7) = 0.7
O b. standard deviation of X = 10*0.7*0.3 = 2.1
C. EIX) = 10*0.7 = 7
O d. VartX) = 10*0.7 = 7
QUESTION 12
Let X, the number of micro-flaws on the surface of a randomly selected, freshly painted car door of a certain type, have a Poisson distribution with parameter u = 5. Find
P(4 < XS 7) and enter your answer to 4 decimal places here:
Transcribed Image Text:QUESTION 10 Two events A and B are mutually exclusive, and PA) > P(B). Which one of the following statements is incorrect? O a. PIA U B) = P(A) + P(B) O b. PLAN not-B8) = P(A) - P(8) O C. Pfnot-A) < P(not-B) O d. PIAN B) = 0 QUESTION 11 In a certain country, 70% of drivers have car insurance. Let X denote the number of drivers with car insurance from a sample of 10 randomly selected drivers. Choose all the correct answers. Note that you willget a penalty mark for choosing an incorrect answer. There is no penalty for not choosing a correct answer, but also no marks are awarded for a correct answer that is not selected. O a. PIX=7) = 0.7 O b. standard deviation of X = 10*0.7*0.3 = 2.1 C. EIX) = 10*0.7 = 7 O d. VartX) = 10*0.7 = 7 QUESTION 12 Let X, the number of micro-flaws on the surface of a randomly selected, freshly painted car door of a certain type, have a Poisson distribution with parameter u = 5. Find P(4 < XS 7) and enter your answer to 4 decimal places here:
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