Question

1. If P(A) = 0.50, P(B) = 0.70, and P(A⋃B) = 0.85, which of the following is true of events A and B?

a. They are independent

b. They are mutually exclusive

c. They are exhaustive

d. None of the above

2. A parameter is a measure that is computed from

a. Population data

b. Sample data

c. Test statistics

d. None of these

3. The statement that "P(A | B) = P(B | A) when A and B are independent" is:

a. Always true

b. Never true

c. Not enough information; we would need to know if A and B are mutually exclusive events

d. Not enough information; we would need to know if A and B are equally likely

Answer 1

and 1 1. Given that : P(A)= 0.5 ,P(B)= 0.7 PLAUB)= 0.85 Addidion Rule : PCA UD)= PA24P (B) – PLANB) :: PCA18)= P&#PⓇ)- P(AUB) 205+07-0.85 .: PLANB) = 0.35 Consider: PA).P(6)=0.5*0.7=0.35 :: P(ANB)- PGA)PB) .: A and B are independent ... (a) in True (b) in False , since PCA1B)=03570 Mutually exclusive 1 PCAMB)= 0 7 (2) in False, since PLAUB)= 0.8571 Texhaustive of plauB)= 1