Question
A person plays a game of tossing a coin thrice. For each head, he is given Rs 2 by the organiser of the game and for each tail, he has to give Rs 1.50 to the organiser. Let X denotes the amount gained or lost by the person. Show that X is a random variable and exhibit it as a function on the sample space of the experiment.
Found 2 tutors discussing this question
Discuss this question LIVE
12 mins ago
Text solutionVerified
Solution: is random variable
domain of y = sample space
Co-domain= real no.
S= { (HHH),(HHT),(THH),(HTH),(TTH),(THT),(HTT),(TTT)}
(no of heads)-1.5(no.of tails)
X(HHH)
X(HHT)
X(HTT)
X(TTT)
Range
X is random variable
domain of y = sample space
Co-domain= real no.
S= { (HHH),(HHT),(THH),(HTH),(TTH),(THT),(HTT),(TTT)}
(no of heads)-1.5(no.of tails)
X(HHH)
X(HHT)
X(HTT)
X(TTT)
Range
X is random variable
Was this solution helpful?
152
Share
Report
One destination to cover all your homework and assignment needs
Learn Practice Revision Succeed
Instant 1:1 help, 24x7
60, 000+ Expert tutors
Textbook solutions
Big idea maths, McGraw-Hill Education etc
Essay review
Get expert feedback on your essay
Schedule classes
High dosage tutoring from Dedicated 3 experts
Practice questions from similar books
Stuck on the question or explanation?
Connect with our math tutors online and get step by step solution of this question.
231 students are taking LIVE classes
Question Text | A person plays a game of tossing a coin thrice. For each head, he is given Rs 2 by the organiser of the game and for each tail, he has to give Rs 1.50 to the organiser. Let X denotes the amount gained or lost by the person. Show that X is a random variable and exhibit it as a function on the sample space of the experiment. |
Answer Type | Text solution:1 |
Upvotes | 152 |