105 , 91, 52, 86, 100, 96 , 98 , 109 , 96, 37, 70 Question 7: A) what is the pro

Question

105 , 91, 52, 86, 100, 96 , 98 , 109 , 96, 37, 70 Question 7: A) what is the probability that a randomly chosen number among these 11 data points is an even number given that is a multiple of 4? 105 , 91, 52, 86, 100, 96 , 98 , 109 , 96, 37, 70 Question 7: A) what is the probability that a randomly chosen number among these 11 data points is an even number given that is a multiple of 4? Question 7: A) what is the probability that a randomly chosen number among these 11 data points is an even number given that is a multiple of 4?

Explanation / Answer

Using Conditional probability formula

P(A | B) = P(A AND B) / P(B)

P(Even number | Multiple of 4) = P( Even number AND Multiple of 4) / P( multiple of 4)

n( Even number is multiple of 4) = 52,100,96,96 = 4 numbers

p( Even number is multiple of 4) = 4 / 11

n( multiple of 4 ) = 52 , 100 , 96 , 96 = 4 numbers

p( multiple of 4) = 4 / 11

P(Even number | Multiple of 4) = 4/11 / 4/11

P(Even number | Multiple of 4) = 1

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