Question

Given that 1% of the population are left handed, if a random sample of 1000 people...

Given that 1% of the population are left handed, if a random sample of 1000 people is selected where x denotes the number of left handed people,

a) The random variable X is (choose one)
i) Binomial
ii) hypergeometric
iii) Poisson
iv) Normal
v) Exponential
vi) Uniform

b) Give the expectation value and variance of X.

c) Find the probabilities P(X=6) and P(X≥6).

d) Which distribution from those listed in part (a) can be used as an approximation to the distribution of X, since the probability of success is small (rare)?

Homework Answers

Answer #1

(d) since probability of success is too small,

therefore, we can use

Poisson approximation to binomial to the distribution of X.

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