Study Statistics revision pack on Statistics for A-Level. Useful for revision, homework, and exam preparation in Zimbabwe.
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This is the A-Level Statistics revision pack from 2022. It is a free revision pack for revision. Time allowed: 1 hour 30 minutes.
A' LEVEL
STATISTICS
2022 FINAL REVISION TEST 3
TIME: 1 hour 30 minutes
(...) Marks
Answer all questions.
[If a numerical answer cannot be given exactly, and the accuracy required is not specified in the question, then in the case of an angle it should be given correct to the nearest degree, and in other cases it should be given to 2 significant figures.]
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Sharewell B. C
1. The amounts of money, $x$ dollars, that 24 people had in their pockets are summarized by $\sum(x-63)=-70$ and $\sum(x-63)^{2}=228.76$. Find $\sum x$ and $\sum x^{2}$.
[5]
2. Newton babies are routinely screened for a serious disease which affects only two per 1000 babies. The result of screening can be positive or negative. A positive result suggest the baby has the disease, but the test is not perfect. If a baby has the disease, the probability that the result is negative is 0.01 . If the baby doe not have the disease, the probability that the result will be positive is 0.02 .
Find the probability that a baby has the disease, given that the result of the test is positive.
[7]
3.
a) State under which condition the Poisson distribution can be used as an approximation to the binomial.
[2]
b)