Three couples and two single individuals have been invited to an investment seminar and have agreed to attend. Suppose the probability that any particular couple or individual arrives late is 0.33 (a couple will travel together in the same vehicle, so either both people will be on time or else both will arrive late). Assume that different couples and individuals are on time or late independently of one another. Let X = the number of people who arrive late for the seminar. (a) Determine the probability mass function of X. [Hint: label the three couples #1, #2, and #3 and the two individuals #4 and #5.] (Round your answers to four decimal places.) P(X=x) X 0 1 2 3 4 5 6 7 8 0.1350 0 1330 0.4535 0.2561 0.1465 0.0484 0.0281 0.0159 3.135 (b) Obtain the cumulative distribution function of X. (Round your answers to four decimal places.) X 0 0 1350 1 2 3 4 5 0.2680 0.7215 0.9771 1:1236 1 1720 6 1.2001 7 12160 8 4.531 ✔ ✓ x x x X x ✓ F(x) ✓ ✓ X x x X x x x
Three couples and two single individuals have been invited to an investment seminar and have agreed to attend. Suppose the probability that any particular couple or individual arrives late is 0.33 (a couple will travel together in the same vehicle, so either both people will be on time or else both will arrive late). Assume that different couples and individuals are on time or late independently of one another. Let X = the number of people who arrive late for the seminar. (a) Determine the probability mass function of X. [Hint: label the three couples #1, #2, and #3 and the two individuals #4 and #5.] (Round your answers to four decimal places.) P(X=x) X 0 1 2 3 4 5 6 7 8 0.1350 0 1330 0.4535 0.2561 0.1465 0.0484 0.0281 0.0159 3.135 (b) Obtain the cumulative distribution function of X. (Round your answers to four decimal places.) X 0 0 1350 1 2 3 4 5 0.2680 0.7215 0.9771 1:1236 1 1720 6 1.2001 7 12160 8 4.531 ✔ ✓ x x x X x ✓ F(x) ✓ ✓ X x x X x x x
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Three couples and two single individuals have been invited to an investment seminar and have agreed to attend. Suppose the probability that any particular couple or individual arrives late is 0.33 (a couple will
travel together in the same vehicle, so either both people will be on time or else both will arrive late). Assume that different couples and individuals are on time or late independently of one another. Let X = the
number of people who arrive late for the seminar.
(a) Determine the probability mass function of X. [Hint: label the three couples #1, #2, and #3 and the two individuals #4 and #5.] (Round your answers to four decimal places.)
P(X = x)
X
0
1
2
3
4
5
6
7
8
(b) Obtain the cumulative distribution function of X. (Round your answers to four decimal places.)
X
0
1
2
3
4
5
0.1350
0.1330
0.4535
0.2561
0.1465
0.0484
0.0281
0.0159
3.135
678
0.1350
0.2680
0.7215
0.9771
11236
1.1720
1.2001
1.2160
4.531
F(x)
XXXXX](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3485e18-05c2-46ec-8a51-7083766e3502%2Fd7d31335-1f47-4c89-9810-d86066a41295%2F9ue6lha_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Three couples and two single individuals have been invited to an investment seminar and have agreed to attend. Suppose the probability that any particular couple or individual arrives late is 0.33 (a couple will
travel together in the same vehicle, so either both people will be on time or else both will arrive late). Assume that different couples and individuals are on time or late independently of one another. Let X = the
number of people who arrive late for the seminar.
(a) Determine the probability mass function of X. [Hint: label the three couples #1, #2, and #3 and the two individuals #4 and #5.] (Round your answers to four decimal places.)
P(X = x)
X
0
1
2
3
4
5
6
7
8
(b) Obtain the cumulative distribution function of X. (Round your answers to four decimal places.)
X
0
1
2
3
4
5
0.1350
0.1330
0.4535
0.2561
0.1465
0.0484
0.0281
0.0159
3.135
678
0.1350
0.2680
0.7215
0.9771
11236
1.1720
1.2001
1.2160
4.531
F(x)
XXXXX
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