{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

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

This preview shows pages 1–3. Sign up to view the full content.

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)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
4.   Classify the following as discrete or continuous random variables.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}