Nick throws a die four times in succession. Define the random variable X: the number of times

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Nick throws a die four times in succession. Define the random variable X: the number of times that the outcome is heads.

(i) Find the sample space Ω for this experiment.

(ii) What is the range of values for X?

(iii) Identify the elements that each of the following sets (events) contains:

A1 = {???? ∈ Ω ∶ X(????) = 2}, A2 = {???? ∈ Ω ∶ X(????) ≥ 3}.

(iv) Calculate the probabilities of each event in (iii).

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Related Book For  book-img-for-question

Introduction To Probability Volume 2

ISBN: 9781118123331

1st Edition

Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis

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