Consider you go to a COVID vaccination centre to get yourself vaccinated. Let the random variable X denotes the time that you have to wait in the queue until it is your turn for vaccination. The probability that there is no queue and you are vaccinated immediately as soon as you reach the centre is 1/4. The probability that there is queue and you have to waitfor some time is 3/4 and random variable X can be modelled as an exponential random variable with parameter (λ =1/3).Find the CDF of the random variable X.Pictorially represent CDF of random variable X. What do you infer from the CDF plot?Find P(0 < X ≤ 1) and P(0 ≤ X ≤ 1) (Note: The CDF of an exponential distribution is given by P(X≤x) = 1-?^-x/? ) Q1) Consider you go to a COVID vaccination centre to get yourself vaccinated. Let the randomvariable X denotes the time that you have to wait in the queue until it is your turn forvaccination. The probability that there is no queue and you are vaccinated immediately as soonas you reach the centre is 1/4. The probability that there is gueue and you have to wait for sometime is 3/4 and random variable X can be modelled as an exponential random variable withparameter (A = 1/3).Find the CDF of the random variable X.(i)(ii)Pictorially represent CDF of random variable X. What do you infer from the CDFplot?Find P(0 < X < 1) and P(0 < X < 1)(iii)-x(Note: The CDF of an exponential distribution is given by P(X

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Description: Consider you go to a COVID vaccination centre to get yourself vaccinated. Let the random variable X denotes the time that you have to wait in the queue until it is your turn for vaccination. The probability that there is no queue and you are vaccinat

We have given exponential distribution and we have to find cdf and it's graph.

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Consider you go to a COVID vaccination centre to get yourself vaccinated. Let the random variable X denotes the time that you have to wait in the queue until it is your turn for vaccination. The probability that there is no queue and you are vaccinated immediately as soon as you reach the centre is 1/4. The probability that there is queue and you have to waitfor some time is 3/4 and random variable X can be modelled as an exponential random variable with parameter (λ =1/3). Find the CDF of the random variable X. Pictorially represent CDF of random variable X. What do you infer from the CDF plot? Find P(0 < X ≤ 1) and P(0 ≤ X ≤ 1)

Consider you go to a COVID vaccination centre to get yourself vaccinated. Let the random variable X denotes the time that you have to wait in the queue until it is your turn for vaccination. The probability that there is no queue and you are vaccinated immediately as soon as you reach the centre is 1/4. The probability that there is queue and you have to waitfor some time is 3/4 and random variable X can be modelled as an exponential random variable with parameter (λ =1/3). Find the CDF of the random variable X. Pictorially represent CDF of random variable X. What do you infer from the CDF plot? Find P(0 < X ≤ 1) and P(0 ≤ X ≤ 1)

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

Find the CDF of the random variable X.
Pictorially represent CDF of random variable X. What do you infer from the CDF plot?
Find P(0 < X ≤ 1) and P(0 ≤ X ≤ 1)

(Note: The CDF of an exponential distribution is given by P(X≤x) = 1-?^-x/? )

Q1) Consider you go to a COVID vaccination centre to get yourself vaccinated. Let the random
variable X denotes the time that you have to wait in the queue until it is your turn for
vaccination. The probability that there is no queue and you are vaccinated immediately as soon
as you reach the centre is 1/4. The probability that there is gueue and you have to wait for some
time is 3/4 and random variable X can be modelled as an exponential random variable with
parameter (A = 1/3).
Find the CDF of the random variable X.
(i)
(ii)
Pictorially represent CDF of random variable X. What do you infer from the CDF
plot?
Find P(0 < X < 1) and P(0 < X < 1)
(iii)
-x
(Note: The CDF of an exponential distribution is given by P(X<x) = 1-e 1)

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