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Sed (CoderLovesEggs) Paper 1 with Solutions · Q7

Paper 1Probability

A bacteria has initial nonzero population BB. After each hour, the bacteria population has a probability pp of doubling, and a probability (1−p)(1-p) of halving.

Given that the expected population after 2 hours is 916B\dfrac9{16}B, pp equals:

A124\dfrac1{24};
B16\dfrac16;
C14\dfrac14;
D−7+6926\dfrac{-7+\sqrt{69}}{26};
E−8+31114\dfrac{-8+3\sqrt{11}}{14}.

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