Answered: Find: a) P(X is at least 10) b)…

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Find: a) P(X is at least 10) b) P(X is less than 5)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Binomial distribution

I don't understand my professor's solution. Please explain where the part I underlined in blue came from.

This is the question, thanks in advance.

Let X = number of successes ~ Bi(12, .7).

Find: a) P(X is at least 10)

b) P(X is less than 5)

X = # of Successes ~ Bi (12, 7)
Since P=. 7 7.5, we will have to use Y=# of failures ~ Bi (12)
a.) P(X > 10) = P(Y ≤ 2) = P(Y=0₁), or 2) = .0138 +.0712 +.1678
= (2528)
b) P ( X < 5) = P(X ≤4)=P(Y = 8) = P(8, 9, 10, 11, or 12)
= .0078 +.0015 +.0002 = 6.0095

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