Question

1. find the probability

2. what is the mean of robberies occur on a given day, u.

3. what is the standard deviation you found in the last problem?

A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.48, 0.35,0.13, and 0.04, respectively. ܢܙ x|P(X = x) 0 .48 .35 2 .13 3 .04

Answer 1

1. P(x) onro x 0.48 0,35 0.18 0.04 ? Mean & 2. P(X - x) (OX0.48 ) + (1x 0.35) +(2x0.13) + ( 3 X0,04) 0.73 E(x) = 0,73 3. Variances var(x)= ECX) - 6'(x) Now, E(x) = ?X PLX=X) (oʻx0.48) +1?x0.35) +(2*x0.13) +(84x0.04) 1.23 var(x) = 1.23 - (0.73) 6.6971 standard deviation, SD(x) = SD(x) = Suar(x) vo. 0.60 71 = 0.8349251 ~ 0.83 SD(x) = 0.83

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