ree 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 0.3 (a couple will wel 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 amber 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) 0 1 2 8 3 4 5 6 7 8 (b) Obtain the cumulative distribution function of X. (Round your answers to four decimal places.) F(x) X 0 1 2 3 4 5 6 7 Use the cumulative distribution function of X to calculate P(3 S XS 5). (Round your answer to four decimal places.)
ree 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 0.3 (a couple will wel 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 amber 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) 0 1 2 8 3 4 5 6 7 8 (b) Obtain the cumulative distribution function of X. (Round your answers to four decimal places.) F(x) X 0 1 2 3 4 5 6 7 Use the cumulative distribution function of X to calculate P(3 S XS 5). (Round your answer to four decimal places.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer all the questions step wise with in 30 mins in neat and clean handwriting.I will definitely upvote to you.
![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 0.3 (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)
1
2
3
4
5
6
0
7
8
(b) Obtain the cumulative distribution function of X. (Round your answers to four decimal places.)
F(x)
0
1
8
2
3
4
5
6
7
Use the cumulative distribution function of X to calculate P(3 ≤ x ≤ 5). (Round your answer to four decimal places.)
P(3 ≤ x ≤ 5) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37d54a6c-9f18-4a5b-ac67-5f030b2715ac%2Fa93df2e8-abb5-4df2-a8fc-bcad013f9875%2Ff50hmf_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 0.3 (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)
1
2
3
4
5
6
0
7
8
(b) Obtain the cumulative distribution function of X. (Round your answers to four decimal places.)
F(x)
0
1
8
2
3
4
5
6
7
Use the cumulative distribution function of X to calculate P(3 ≤ x ≤ 5). (Round your answer to four decimal places.)
P(3 ≤ x ≤ 5) =
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