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w3t2 - 1.(A) space.IfP(A)=0.5andP(AorB)=0.70,findP(B So P(A...

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1.   Find the following probabilities:  (A) Events A and B are mutually exclusive events defined on a common sample  space. If  P  (A) = 0.5 and  P (A or B) = 0.70, find  P (B). S o P(A or B) = P(A) + P(B) - P(A and B)→ P(B) = 0.7-0.5 = 0.2 (B) Events A and B are defined on a common sample space. If  P (A) = 0.30,  P (B)  = 0.50, and  P (A or B) = 0.72, find  P (A and B)  By the same rule P(A or B) = P(A) + P(B)-P(A and B)→ P(B) = 0.72 = 0.3 + 0.5 - P(A and B)→ P(A and B) = 0.08  (Points :4) 2.   A bag of jelly belly candies contains the following colored jelly beans: red (12), blue (5), orange (15), brown (0), green (16), and yellow (7). Construct the probability distribution for x. X Red Blue Orange Brown Green Yellow P(x) 12/48 5/48 15/48 0/48 16/48 7/48  (Points :6) 3.   Find the mean and standard deviation of the following probability distribution:   x 1 2 3 P ( x ) 0.4 0.25 0.35 Mean = 1*0.4 + 2*0.25 + 3*0.35 = 0.4 + 0.5 + 1.05 = 1.95 Standard deviation = sqrt of (0.4*(1-1.95)^2+0.25*(2-1.95)^2 + 0.35*(3-1.95)^2) = 0.7475  (Points :4)
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4.   Classify the following as discrete or continuous random variables.
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