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The logistic model P(n) = OA. a) Use a graphing utility to graph P= P(n). The graphs are shown in the viewing window Xmin = 0, Xmax = 100, Xscl = 10, Ymin = 0, Ymax = 100, Ysel = 10. Choose the correct graph below. Q 113.3198 1+0.1150.0912n Q models the probability (as a percent) that, in a room of n people, no two people share the same birthday. Complete parts (a) through (d). B. Q a E OC. (b) In a room of n = 13 people, what is the probability that no two share the same birthday? (Round to the nearest integer as needed.) Q Q came birthday falls below 13%? OD. Q

The logistic model P(n) = OA. a) Use a graphing utility to graph P= P(n). The graphs are shown in the viewing window Xmin = 0, Xmax = 100, Xscl = 10, Ymin = 0, Ymax = 100, Ysel = 10. Choose the correct graph below. Q 113.3198 1+0.1150.0912n Q models the probability (as a percent) that, in a room of n people, no two people share the same birthday. Complete parts (a) through (d). B. Q a E OC. (b) In a room of n = 13 people, what is the probability that no two share the same birthday? (Round to the nearest integer as needed.) Q Q came birthday falls below 13%? OD. Q

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 2TI: Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time...
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The logistic model P(n) = 113.3198 1+0.115 e 0.0912n models the probability (as a percent) that, in a room of n people, no two people share the same birthday. Complete parts (a) through (d). (a) Use a graphing utility to graph P= P(n). The graphs are shown in the viewing window Xmin = 0, Xmax = 100, Xscl = 10, Ymin = 0, Ymax = 100, Yscl = 10. Choose the correct graph below. OA Q C Q B. a 5 OC. Q (b) In a room of n = 13 people, what is the probability that no two share the same birthday? % (Round to the nearest integer as needed.) (c) How many people must be in a room before the probability that no two people share the same birthday falls below 13%? O D. Q (d) What happens to the probability as n increases? Explain what this result means. A. As n increases, the probability increases. This means that as the number of people in the room increases, the more likely that two will not share the same birthday. B. As n increases, the probability decreases. This means that as the number of people in the room increases, the more likely that two will not share the same birthday. C. As n increases, the probability decreases. This means that as the number of people in the room increases, the more likely that two will share the same birthday. OD. As n increases, the probability increases. This means that as the number of people in the room increases, the more likely that two will share the same birthday.
Transcribed Image Text:The logistic model P(n) = 113.3198 1+0.115 e 0.0912n models the probability (as a percent) that, in a room of n people, no two people share the same birthday. Complete parts (a) through (d). (a) Use a graphing utility to graph P= P(n). The graphs are shown in the viewing window Xmin = 0, Xmax = 100, Xscl = 10, Ymin = 0, Ymax = 100, Yscl = 10. Choose the correct graph below. OA Q C Q B. a 5 OC. Q (b) In a room of n = 13 people, what is the probability that no two share the same birthday? % (Round to the nearest integer as needed.) (c) How many people must be in a room before the probability that no two people share the same birthday falls below 13%? O D. Q (d) What happens to the probability as n increases? Explain what this result means. A. As n increases, the probability increases. This means that as the number of people in the room increases, the more likely that two will not share the same birthday. B. As n increases, the probability decreases. This means that as the number of people in the room increases, the more likely that two will not share the same birthday. C. As n increases, the probability decreases. This means that as the number of people in the room increases, the more likely that two will share the same birthday. OD. As n increases, the probability increases. This means that as the number of people in the room increases, the more likely that two will share the same birthday.
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