1. Find the probability mass function of the random variable X if X ~ Bin(10, 0.4). Also, Find p(X < 4). Hint: If X ~ Bin(n, p), the probability mass function of X is n! p(x) = p(X = x) = x! (n – x)! P*(1 – P)"-*, x = 0,1, ...,n 0, otherwise

1. Find the probability mass function of the random variable X if X ~ Bin(10, 0.4). Also, Find p(X < 4). Hint: If X ~ Bin(n, p), the probability mass function of X is n! p(x) = p(X = x) = x! (n – x)! P(1 – P)"-, x = 0,1, ...,n 0, otherwise

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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1. Find the probability mass function of the random variable X if X ~ Bin(10, 0.4). Also,
Find p(X < 4).
Hint: If X ~ Bin(n, p), the probability mass function of X is
n!
p(x) = p(X = x) = x! (n – x)! P*(1 – P)"-*, x = 0,1, ...,n
0,
otherwise

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