The number of arrivals per minute at a bank located in the central business dist

Question

The number of arrivals per minute at a bank located in the central business district a. Compute the expected number of arrivals per minute. of a large city was recorded over a period of 200 minutes, with the results shown in the table below. Complete (a) through (c) to the right. ArrivalsFrequency Type an integer or decimal rounded to three decimal places as needed.) 16 27 47 40 29 20 12 b. Compute the standard deviation. (Type an integer or decimal rounded to three decimal places as needed.) c. What is the probability that there will be fewer than 2 arrivals in a given minute? P(x 2) 4 7 (Type an integer or decimal rounded to three decimal places as needed.)

Explanation / Answer

The statistical software output for this problem is:

Approximate summary statistics:
Using counts in Frequency

Hence,

a) Mean = 2.975

b) Standard deviation = 1.853

c) P(X < 2) = (16 + 27)/200 = 43/200 = 0.215

Column n Mean Unadj. std. dev. Arrivals 200 2.975 1.8532067

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