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using unfair coin with P(H)=0.565 and P(T) = 0.435 let the random variable x be number...

using unfair coin with P(H)=0.565 and P(T) = 0.435
let the random variable x be number of H in 480 flipping

P(275<= X <=285) is ? ( using normal approximation )

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Answer #1

X: number of H

X~B(n=480, p=0.565)

X~N(mean=np=271.2, sd=10.86)

275-271.2 285-271.2 10.86 P(275 < X < 285) = P( ) 0.2613 10,86 -- Z < 285

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