Question 1 a. The prices of 12 randomly chosen homes in dollars (approximated to nearest thousand) in a growing region of Tampa in the summer of 2002 are given below. 176 105 133 140 305 215 207 210 173 150 78 96 Find the mean and standard deviation of the sampled home prices from this area. (4marks) b. The following are the closing prices of some securities that a mutual fund holds on a certain day. i. ii. iii. 10.25 5.31 11.25 13.13 18.00 32.56 37.06 39.00 43.25 45.00 40.06 28.56 22.75 51.50 47.00 53.50 32.00 25.44 22.50 30.00 24.75 53.37 51.38 26.00 53.50 29.87 32.00 28.87 42.19 37.50 30.44 41.37 Construct a stem and leaf plot for the data Find the mean, variance, and range for these data and interpret. Construct a histogram (6marks) c. A subway station in a large city has 12 gates, six inbound (entering intothe subway station) and six outbound (exiting the subway station). The number of gates open in each direction is observed at a particular time of day. Assume that each outcome of the sample space is equally likely. i. Define a suitable sample space. ii. What is the probability that at most one gate is open in each direction? iii. What is the probability that at least one gate is open in each direction? iv. What is the probability that the number of gates open is the same in both directions? v. What is the probability of the event that the total number of gates open is six? (6marks) Question 1 a. The prices of 12 randomly chosen homes in dollars (approximated to nearest thousand) in a growing region of Tampa in the summer of 2002 are given below. 176 105 133 140 305 215 207 210 173 150 78 96 Find the mean and standard deviation of the sampled home prices from this area. (4marks) b. The following are the closing prices of some securities that a mutual fund holds on a certain day. i. ii. iii. 10.25 5.31 11.25 13.13 18.00 32.56 37.06 39.00 43.25 45.00 40.06 28.56 22.75 51.50 47.00 53.50 32.00 25.44 22.50 30.00 24.75 53.37 51.38 26.00 53.50 29.87 32.00 28.87 42.19 37.50 30.44 41.37 Construct a stem and leaf plot for the data Find the mean, variance, and range for these data and interpret. Construct a histogram (6marks) c. A subway station in a large city has 12 gates, six inbound (entering intothe subway station) and six outbound (exiting the subway station). The number of gates open in each direction is observed at a particular time of day. Assume that each outcome of the sample space is equally likely. i. Define a suitable sample space. ii. What is the probability that at most one gate is open in each direction? iii. What is the probability that at least one gate is open in each direction? iv. What is the probability that the number of gates open is the same in both directions? v. What is the probability of the event that the total number of gates open is six? (6marks)

Question 1 a. The prices of 12 randomly chosen homes in dollars (approximated to nearest thousand) in a growing region of Tampa in the summer of 2002 are given below. 176 105 133 140 305 215 207 210 173 150 78 96 Find the mean and standard deviation of the sampled home prices from this area. (4marks) b. The following are the closing prices of some securities that a mutual fund holds on a certain day. i. ii. iii. 10.25 5.31 11.25 13.13 18.00 32.56 37.06 39.00 43.25 45.00 40.06 28.56 22.75 51.50 47.00 53.50 32.00 25.44 22.50 30.00 24.75 53.37 51.38 26.00 53.50 29.87 32.00 28.87 42.19 37.50 30.44 41.37 Construct a stem and leaf plot for the data Find the mean, variance, and range for these data and interpret. Construct a histogram (6marks) c. A subway station in a large city has 12 gates, six inbound (entering intothe subway station) and six outbound (exiting the subway station). The number of gates open in each direction is observed at a particular time of day. Assume that each outcome of the sample space is equally likely. i. Define a suitable sample space. ii. What is the probability that at most one gate is open in each direction? iii. What is the probability that at least one gate is open in each direction? iv. What is the probability that the number of gates open is the same in both directions? v. What is the probability of the event that the total number of gates open is six? (6marks) Question 1 a. The prices of 12 randomly chosen homes in dollars (approximated to nearest thousand) in a growing region of Tampa in the summer of 2002 are given below. 176 105 133 140 305 215 207 210 173 150 78 96 Find the mean and standard deviation of the sampled home prices from this area. (4marks) b. The following are the closing prices of some securities that a mutual fund holds on a certain day. i. ii. iii. 10.25 5.31 11.25 13.13 18.00 32.56 37.06 39.00 43.25 45.00 40.06 28.56 22.75 51.50 47.00 53.50 32.00 25.44 22.50 30.00 24.75 53.37 51.38 26.00 53.50 29.87 32.00 28.87 42.19 37.50 30.44 41.37 Construct a stem and leaf plot for the data Find the mean, variance, and range for these data and interpret. Construct a histogram (6marks) c. A subway station in a large city has 12 gates, six inbound (entering intothe subway station) and six outbound (exiting the subway station). The number of gates open in each direction is observed at a particular time of day. Assume that each outcome of the sample space is equally likely. i. Define a suitable sample space. ii. What is the probability that at most one gate is open in each direction? iii. What is the probability that at least one gate is open in each direction? iv. What is the probability that the number of gates open is the same in both directions? v. What is the probability of the event that the total number of gates open is six? (6marks)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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