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Estimate the true proportion of home

A report states that 38% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 4% with 95% confidence?

a. 142

b. 283

c. 566

d. 1132

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## Q : Independent random variables with binomial distributions

Let X1, X2, X3 be three independent random variables with binomial distributionsb(4, 1/2), b(6, 1/3), b(12, 1/6), respectively.Find