Q. No.1 If X is the number of heads observed in flipping of coin three times. Findthe distribution function or CDF of the X.Q. No.2 Find the probability function and probability distribution for the number oftails when four unbiased coins are tossed; and also construct a probabilityhistogram.Q. No.3 An event has a probability p = 5/8. Find the complete binomial distribution%3Dfor n =6 trials.Q. No.4 If X is a Poisson random variable with parameter u = 3, find the probabilitiesfor x = 0, 1, 2, 3, 4 or more.

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Description: Q. No.1 If X is the number of heads observed in flipping of coin three times. Findthe distribution function or CDF of the X.Q. No.2 Find the probability function and probability distribution for the number oftails when four unbiased coins are tossed

Q3) p = 5/8 = 0.625 n = 6 The binomial distribution is given by

Answered: Q. No.3 An event has a probability p =…

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Q. No.3 An event has a probability p = 5/8. Find the complete binomial distribution for n =6 trials.

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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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

Q. No.1 If X is the number of heads observed in flipping of coin three times. Find
the distribution function or CDF of the X.
Q. No.2 Find the probability function and probability distribution for the number of
tails when four unbiased coins are tossed; and also construct a probability
histogram.
Q. No.3 An event has a probability p = 5/8. Find the complete binomial distribution
%3D
for n =6 trials.
Q. No.4 If X is a Poisson random variable with parameter u = 3, find the probabilities
for x = 0, 1, 2, 3, 4 or more.

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