Given that X Bin(5, 0.4), find (to 3 decimal places):Na) P(X <3)b) the conditional probability P(X> 2|X<4)|A biased coin is tossed. Let X denote the number of tosses required to obtain the first head. It is known thatP(X=4)=3P(X= 5). Find (to 3 decimal places);a) P(X=3)b) the probability of exactly 2 heads in the first 5 tossesLet X Bin(5, 0.4) and Y~ Bin(3, 0.4) and assume they are independent from each other. Find (to 3 decimal places)PP(X+Y=3)

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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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Given that X Bin(5, 0.4), find (to 3 decimal places): N a) P(X<3) b) the conditional probability P(X> 2|X<4)