Analysis and Approaches for IBDP Maths Ebook 1 | Page 257

3. The random variable X has the following probability distribution.
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x 0 10 20 30
P( X � x)
0.1 a b c
Given that P( X �15) � 0.5 and E( X ) � 16 , find the values of b and c .
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4. The random variable X has the following probability distribution.
x 0 3 6 9
P( X � x)
0.4 a b c
Given that P(2 � X �7) � 0.3 and E( X ) � 4.2 , find the values of a and b .
[7]
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