1. Let E and F be two events in sample space ? such that P(E)= 0.2.P(F)...
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1. Let E and F be two events in sample space ? such that P(E)= 0.2.P(F) = 0.6 and P(EUF) 0.5, then P(En F) A. 0.09 B. 0.1 C. 0.07 2. If E and F are two independent events in sample space such that P(E)=0.5 and P(F)-0.4. then P(FE) = A. 0.6 B. 0.7 B. 0.563 C. 0.8 3. If E and F are mutually exclusive events in sample space ? then A. P(EF) = P(E) B. P(EUF)=P(E) + P(F) C. PEUF)=P(E)P(F) D.P(EnF)=P(E\P(F) D. 0.08 4. Consider the experiment of rolling a pair of 4-sided (with faces 1, 2, 3, 4) dice. Define a random variable X to be the difference of two numbers come up. Then P(-2≤ x ≤1) A. 0.625 A. fxv (r.) = 4.² C. fxr (r.y)-6e-³-2x C. 0.875 D. 0.9 5. Let X be a discrete random variable with probability distribution given by P(X=-1)=P(X=0)=P(X=1)=0.1 for the random variable X is A. 1.4 B. 0.8 C. 0.5 D. 0.750 and P(X=2)=k, then the expected value () D. 0.2 6. The random variables X and Y are independent in which of the following joint pdf's B. fxY (5,1)= (²+²) D. None. 1. Let E and F be two events in sample space ? such that P(E)= 0.2.P(F) = 0.6 and P(EUF) 0.5, then P(En F) A. 0.09 B. 0.1 C. 0.07 2. If E and F are two independent events in sample space such that P(E)=0.5 and P(F)-0.4. then P(FE) = A. 0.6 B. 0.7 B. 0.563 C. 0.8 3. If E and F are mutually exclusive events in sample space ? then A. P(EF) = P(E) B. P(EUF)=P(E) + P(F) C. PEUF)=P(E)P(F) D.P(EnF)=P(E\P(F) D. 0.08 4. Consider the experiment of rolling a pair of 4-sided (with faces 1, 2, 3, 4) dice. Define a random variable X to be the difference of two numbers come up. Then P(-2≤ x ≤1) A. 0.625 A. fxv (r.) = 4.² C. fxr (r.y)-6e-³-2x C. 0.875 D. 0.9 5. Let X be a discrete random variable with probability distribution given by P(X=-1)=P(X=0)=P(X=1)=0.1 for the random variable X is A. 1.4 B. 0.8 C. 0.5 D. 0.750 and P(X=2)=k, then the expected value () D. 0.2 6. The random variables X and Y are independent in which of the following joint pdf's B. fxY (5,1)= (²+²) D. None.
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1 Solution PEN F PE PF PEU F 020405 01 Answer B 01 2 Solution As they are independent PF notE n... View the full answer
Related Book For
Finite Mathematics and Its Applications
ISBN: 978-0134768632
12th edition
Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair
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