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It is known that 12% of children are nearsighted. A random sample of 170 children is...

It is known that 12% of children are nearsighted. A random sample of 170 children is selected. What is the probability less than 14% of this sample will be nearsighted?

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that ,

p = 0.12

1 - p = 0.88

n = 170

= p = 0.12  

= (p*(1-p))/n =  (0.12*0.88)/170 = 0.02492

P( < 0.14) = P(( - ) / < (0.14 - 0.12) / 0.02492)

= P(z < 0.80)

= 0.7881

Probability = 0.7881

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