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3 years ago

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What is the probability of selection for any man in a proportionate random sample, where a sample of 100 will be drawn from a po

pulation of 1,000 that is 50% male and 50% female?

1 answer:

kolbaska11 [484]3 years ago

7 0

Working Principle: Stratified Random Sampling

nx = (Nx/N)*n

where:
nx = sample size for stratum x
Nx = population size for stratum x
N = total population size
n = total sample size

Given:

Nx = 100
N = 1000
n = 0.5*(1000) = 500

Required: Probability of Man to be selected

Solution:

nx = (Nx/N)*n
nx = (100/1000)*500 = 50 men

ny = (Nx/N)*n
ny = (100/1000)*500 = 50 women

Probability of Man to be selected = nx/(nx + ny)*100 = 50/(50+50)*100 = 50%

<em>ANSWER: 50%</em>

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Refer attachment 1.

From diagram consider the triangle FYX. To find the third angle that is ∠YFX can be calculated by using angle sum property of triangle.

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∠YFX=58°

Refer attachment 2.

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$\dfrac{34\times\sin 72}{\sin 58}=FY$

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