Solve two unknown probabilities using normalization and expectation.

Solve two unknown probabilities using normalization and expectation.

6 marks
ProbabilityQuestionBank.pdf

A discrete random variable \(X\) has a probability distribution as shown in the table below.

\(x\)0123
\(P(X=x)\)0.1\(a\)0.3\(b\)
  1. Find the value of a + b.[2]
  2. Given that \(E(X)\) =1.5, find the value of a and of b.[4]

Solution:

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Answer:Therefore \(b=0.15\) and \(a=0.45\).

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