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
Introduction To Probability Volume 2
ISBN: 9781118123331
1st Edition
Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis
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