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STA119 MiniTab 4 - Determine a 62 P X ≤ 62 P X ≤...

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Name Sarah Jordan Class Number A8-15 Minitab Assignment 4 For each problem state the solution in CDF notation and then give the numerical answer. Use B for binomial and F for Poisson. Notation Example: (1 4) (3) (1) .4 .15 .25 P X B B < < = - = - = TYPE THE SOLUTIONS IN BEFORE PRINTING!!!! No need for pictures on one-sided problems. 1. A fair coin is to be tossed 60 times. Let X count the number of heads tossed. Determine a) (26 35) P X < < (26 35) P X < < = X= B(34) – B(26) = .877477 - .07750 = .79997 b) (33 ) P X (33 ) P X = B(60)-(B32) = 1.00 - .74052 = .25948 2. A die is to be rolled 50 times. Let X count the number of sixes rolled. (You will need to convert fractions to decimals in Minitab.) Determine a) ( 8) P X < ( 8) P X < = B(7) = .25057 b) (5 10) P X (5 10) P X = B(10) – B(4) = .68304 - .02382 = .65922 3. Phone calls come into a call center meeting the conditions of a Poisson process with a rate of 58 λ = calls per hour. Let X count the number of calls in the next hour.
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Unformatted text preview: Determine a) ( 62) P X ≤ ( 62) P X ≤ =F(62)= 0.72745 b) (50 ) P X ≤ (50 ) P X ≤ =F(100)-F(49)=1.00-.13079=.86921 4. The number of patients requiring certain type of surgery is well modeled by a Poisson distribution with a rate of 1.75 = per week. Determine the probability that there will be three surgeries required next week. P(3) = 0.155220 5. Make a graph like the one on page 22 of the Minitab book (including the line at y = 0). Use 40 n = and .65 p = . Label the column appropriately so that the graph says b(n = 40, p = .65). Also, add a footnote with you last name to the graph. Replace the graph below with the proper one (same size as this one). 40 30 20 10 0.14 0.12 0.10 0.08 0.06 0.04 0.02 0.00 x b(n=40,p=.65) Scatterplot of b(n= 40,p= .65) vs x Print the two pages and staple them together (or no staple if you use 2 sided printing)....
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