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Chapters 4,5,&6

Chapters 4,5,&6 - STA 2023.03 Spring 2007 Chapters 4 5...

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STA 2023.03 Spring 2007 Chapters 4, 5 & 6  (even homework problems) Chapter 4 4.2 A discrete variable can assume a countable number of values while a continuous random  variable can assume values corresponding to any point in one or more intervals. 4.10 a. X may take on the values {-4, 0, 1, 3}. b. The value 1 is more likely. c. P(x>0) = P(x=1) + P(x=3) = .7 d. P(x= -2) = 0 4.12 a. It is a valid distribution. b. Not a valid distribution.  c. Not valid because probabilities cannot be negative. d. Not a valid distribution. 4.18 a. Yes.   b. P(x=16) = 0.06 c. P(x< 10) = 0.28 d. P(5< x< 15) = 0.82 4.52 a. P(x=2) = 0.167 –0.046 = 0.121 (using table) b. P(x< 5) = 0.034 c. P(x>1) = 0.081 4.56 a. Check the 5 characteristics. Yes it is binomial b. P = 0.2 c. μ  = np = 40 4.86 a. P(x< 3) = 0.01 (using table) b. Yes. The probability of observing 3 or fewer crimes in a year if the mean is still 10 is  extremely small.

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Chapters 4,5,&6 - STA 2023.03 Spring 2007 Chapters 4 5...

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