On average, 1 in 400 microchips made at a certain factory are faulty. The number of faulty microchips in a random sample of 1000 is denoted by $$\(X\)$$. State an approximating distribution for $$\(X\)$$, giving the values of any parameters. .................................................................................................................................................... .................................................................................................................................................... ....................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_m21_qp_62 Year:2021 Question No:4(b)

Answer:

\(\operatorname{Po}(2.5)\)

Knowledge points:

6.1.4 use the Poisson distribution as an approximation to the binomial distribution where appropriate (The conditions that n is large and p is small should be known; n > 50 and np < 5, approximately.)

Solution:

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