QUESTION 1 Use the following scenario and data for all questions The probability

Question

QUESTION 1 Use the following scenario and data for all questions The probability distribution of the number of telephone calls received at customer service of a local bank between 9:00 am and 10:00 am on weekdays is given in the following table. You may use the table to do your computation in order to answer the following questions. Note that you may need the columns and (xi-p)2P(x) or the columns x and xP( x) but not all of them to answer these questions. Phone calls (x Probability (x x,P(x,) P(x) P(x p(x)) 0.02 0.07 0.14 0.19 0.20 0.16 0.11 0.06 0.05 1.00 Sum The probability that customer service receives 6 or more calls during this hour is 0.78 0.62 0.38 0.22 O none of the above

Explanation / Answer

P(X>=6) =0.220

2)

P(3<=X<=6) =0.66

3)

mean =4

4)variance =3.64

5) std deviation =1.91

x p(x) xP(x) (x-) (x-)2 (x-)2P(x) x^2 x^2P(x) 0 0.020 0.000 -4.000 16.000 0.320 0 0 1 0.070 0.070 -3.000 9.000 0.630 1 0.07 2 0.140 0.280 -2.000 4.000 0.560 4 0.56 3 0.190 0.570 -1.000 1.000 0.190 9 1.71 4 0.200 0.800 0.000 0.000 0.000 16 3.2 5 0.160 0.800 1.000 1.000 0.160 25 4 6 0.110 0.660 2.000 4.000 0.440 36 3.96 7 0.060 0.420 3.000 9.000 0.540 49 2.94 8 0.050 0.400 4.000 16.000 0.800 64 3.2 total 1 = 4.00 0.000 60.000 2= 3.6400 204.0000 19.6400

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