Question Help The number of arrivals per minute at a bank located in the central

Question

Question Help The number of arrivals per minute at a bank located in the central business district of a large city was recorded over a period of 200 minutes with the results shown in the table below. Complete (a) and (b) to the right. a. Compute the expected number of arrivals per minute Arrivals (Type an integer or decimal rounded to three decimal places as needed.) Frequency 23 49 39 b. Compute the standard deviation. 2 3 4 (Type an integer or decimal rounded to three decimal places as needed.) 24 19 8 4 7 8

Explanation / Answer

a. = (0*23 + 1*49 + 2*39 + 3*33 + 4*24 + 5*19 + 6*8 + 7*4 + 8*1) / 200

= 501 / 200

= 2.505

b. 2 = (0*23 + 1*49 + 4*39 + 9*33 + 16*24 + 25*19 + 36*8 + 49*4 + 64*1) / 200 - 2.505*2.505

= 3.26995

= 3.26995 = 1.8083.

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