(c) The probability that a resident of Senadin, Miri supports a wildlife conservation campaign is 0.6. A sample of 18 residents of Senadin, Miri is chosen at random. Given that the sample is binomial distribution, calculate the probability that: (1) exactly 9 residents support the campaign. (ii) less than 3 residents support the campaign. (d) The number of accidents occurring in a traffic light each week follows a Poisson distribution with mean 1.5. Determine the probability that: 1) less than 2 accidents occur in a particular week, (ii) more than 5 accidents occur in two weeks.
(c) The probability that a resident of Senadin, Miri supports a wildlife conservation campaign is 0.6. A sample of 18 residents of Senadin, Miri is chosen at random. Given that the sample is binomial distribution, calculate the probability that: (1) exactly 9 residents support the campaign. (ii) less than 3 residents support the campaign. (d) The number of accidents occurring in a traffic light each week follows a Poisson distribution with mean 1.5. Determine the probability that: 1) less than 2 accidents occur in a particular week, (ii) more than 5 accidents occur in two weeks.
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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part C D

Transcribed Image Text:Question 4
(a) A discrete random variable X has the following probability distribution:
X = x
2
P(X = x)
k
3k
2k
5k
() Determine the value of constant k.
(i) Determine P(X > 2).
SX
(b) A continuous p.d.f for a random variable X with function, P(x)=
for 0<x<5.
!!
Determine:
(i) the value of constant s.
(i) P(x>1|x<4).
(c) The probability that a resident of Senadin, Miri supports a wildlife conservation campaign
is 0.6. A sample of 18 residents of Senadin, Miri is chosen at random. Given that the sample
is binomial distribution, calculate the probability that:
(i) exactly 9 residents support the campaign.
(ii) less than 3 residents support the campaign.
(d) The number of accidents occurring in a traffic light each week follows a Poisson
distribution with mean 1.5. Determine the probability that:
(i) less than 2 accidents occur in a particular week,
(ii) more than 5 accidents occur in two weeks.
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