A regional hospital is considering the purchase of a helicopter to transport cri

Question

A regional hospital is considering the purchase of a helicopter to transport critical patients. The relative frequency of x the number of times the helicopter is used to transport critical patients each month, is derived for a similarly sized hospital and is given in the probability distribution below. (a) What is the probability that the helicopter is not used at all during a month to transport critical patients? (b) What Is the probability that the helicopter is wed at least 3 Hines during a month to transport critical patients? (c) What is the average number of times the helicopter will be used during a month to transport critical patients? What is the standard deviation?

Explanation / Answer

a. P(X=0) = 0.15

b. P(X>3) = 1-(P(X=0) + P(X=1) +P(X=2) +P(X=3) ) = 1-(0.15+ 0.20 + 0.34 + 0.19) = 1-(0.88) = 0.12

C. MEAN=0. P(X=0) + 1.P(X=1) +2.P(X=2) +3.P(X=3) +4. P(X=4) +5.P(X=5) +6.P(X=6)

X P(X) X*P(X) q(x) sqrt(n.p.q) 0 0.15 0 0.85 0 1 0.2 0.2 0.8 0.4 2 0.34 0.68 0.66 0.669925 3 0.19 0.57 0.81 0.679485 4 0.06 0.24 0.94 0.474974 5 0.05 0.25 0.95 0.48734 6 0.01 0.06 0.99 0.243721                  (sum all) 2.000 <= Average 2.955445 <=std dev

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