Question

A large blood bank clinic wants to use statistical methods to better plan its hourly staffing of nurses who collect the blood from donors. Based on past records, the blood bank has created the probability distribution displayed in Figure 1. Note that X represents the number of donors that come to visit to donate blood in a 1-hour period.

X = number of donor visits per hour	10	15	20	25	30	35
P(X)	.06	.09	.16	.19	.22	.28

Figure 1. Probability distribution of donor visits

1. Create a new StatCrunch data file called BloodBank that contains the probability distribution shown in Figure 1 with the two variables Donors and P(X). DONE - FIRST PIC BELOW
2. Use StatCrunch to compute the mean and standard deviation of the probability distribution describing the donor visits. DONE - SECOND PIC BELOW
3. If one nurse can handle 10 donors per hour, use your answer to Problem 6b to estimate the number of nurses you expect to need per hour (round up your answer to the nearest whole number). How does the size of the standard deviation affect the staffing situation? Explain. Type your answers to this question under the subheading Problem 6c in your word file Assignment3B. [2 marks]

p(x) X 10 0.06 15 0.09 20 0.16 25 0.19 30 0.22 35 0.28 Ln Options Custom Calculator Standard Between f(x) 0.25 0.2 0.15 0.1 0.05 35 20 10 15 25 30 X Std. Dev.: 7.6360985 Mean: 26.3 ]) = P(x 25 0.5 Compute O

Answer 1

6c. With the help of the answers in 6a and 6b we can say that mean is 26.3 per hr

Then if 10 donors can be attended by a nurse, approximately 3 nurses would be required to attend the donors as the mean is 26.3 , but the SD being large(7.63) , the staffing quotation is affected since 1 or 2 nurses will be idle if the no.of donors is less than 20 with the corresponding probability are also low and also there will be a suitation that more nurses will be required since there is high probability that 35 donors appear but only 30 can be attended by the available 3.Thus SD plays a crucial role in staffing suitation.