Two unknown probabilities in a discrete probability distribution from the total probability and the expected value
Two unknown probabilities in a discrete probability distribution from the total probability and the expected value
6 marks
The discrete random variable \(X\) has the probability distribution shown in the table, where \(p\) and \(q\) are constants.
| \(x\) | \(1\) | \(2\) | \(3\) | \(4\) |
|---|---|---|---|---|
| \(\mathrm{P}(X=x)\) | \(p\) | \(0.25\) | \(q\) | \(0.15\) |
- Find the value of \(p+q\).[2]
- It is given that \(\mathrm{E}(X)=2.4\). Find the value of \(p\) and the value of \(q\).[4]
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.
Create a free account to practise similar questions.
Answer:(a) \(p+q=0.6\) (b) \(p=0.25,\ q=0.35\)
Need help? Join our JC Math tuition classes.
Learn more