QUESTION TWO A. The following data set shows the various types of types of cars at a local dealership. New Used Total Sedan 24 9 33 SUV 15 12 27 (i) Use the Baye's Theorem to calculate the probability that a randomly selected car is new, given that it is sedan. (ii) Use Baye's Theorem to calculate the probability that a randomly selected new car is sedan. B. In a cricket match played to benefit an ex-player, 10,000 tickets are sold at k500. The prize is a k12,000 fridge by lottery. If a person purchases two tickets, what is his expected gain? C. A market researcher at a major auto mobile company classified households by car ownership. The relative frequencies of households for each category of ownership are shown below: Number of Cars per Relative Frequency household 0 1 2 3 4 LO 5 Total 39 21 60 0.10 0.30 0.40 0.12 0.06 0.02 Calculate the expected value and standard deviation and interpret the results.
QUESTION TWO A. The following data set shows the various types of types of cars at a local dealership. New Used Total Sedan 24 9 33 SUV 15 12 27 (i) Use the Baye's Theorem to calculate the probability that a randomly selected car is new, given that it is sedan. (ii) Use Baye's Theorem to calculate the probability that a randomly selected new car is sedan. B. In a cricket match played to benefit an ex-player, 10,000 tickets are sold at k500. The prize is a k12,000 fridge by lottery. If a person purchases two tickets, what is his expected gain? C. A market researcher at a major auto mobile company classified households by car ownership. The relative frequencies of households for each category of ownership are shown below: Number of Cars per Relative Frequency household 0 1 2 3 4 LO 5 Total 39 21 60 0.10 0.30 0.40 0.12 0.06 0.02 Calculate the expected value and standard deviation and interpret the results.
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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Transcribed Image Text:QUESTION TWO
A. The following data set shows the various types of types of cars at a local
dealership.
New
Used
Total
Sedan
24
9
33
Number of Cars per
household
0
1
2
3
4
SUV
15
12
27
(i) Use the Baye's Theorem to calculate the probability that a randomly
selected car is new, given that it is sedan.
(ii) Use Baye's Theorem to calculate the probability that a randomly selected
new car is sedan.
B. In a cricket match played to benefit an ex-player, 10,000 tickets are sold at k500.
The prize is a k12,000 fridge by lottery. If a person purchases two tickets, what is
his expected gain?
C. A market researcher at a major auto mobile company classified households by
car ownership. The relative frequencies of households for each category of
ownership are shown below:
5
Relative Frequency
Total
39
21
60
0.10
0.30
0.40
0.12
0.06
0.02
Calculate the expected value and standard deviation and interpret the results.
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