STAT2011 Probability and Estimation Theory | USYD悉尼大学 | assignment R语言代写 | quiz代考

STAT2011 Probability and Estimation Theory – Semester 1, 2021
Sample Quiz 1 – Solutions

1. Suppose that P(A) = 0.2 and P(B) = 0.3. What does P(A ∪ B) equal if A and B are
   independent?
   P(A ∪ B) = P(A) + P(B) − P(A ∩ B)
   Independent
   = P(A) + P(B) − P(A)P(B) = 0.2 + 0.3 −
   0.06 = 0.44
2. The probability is 0.2 that a tyre will need to be replaced in any given year of driving.
   What is the probability that a car having four tyres will need to have exactly three tyres
   replaced in a year?
   P(X = 3) =

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