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Normal mu 604 sigma 255 xi P(X<=xi) 191 0.0527 312 0.1261 577 0.4578 731 0.6908

ID: 3074535 • Letter: N

Question

Normal

mu

604

sigma

255

xi

P(X<=xi)

191

0.0527

312

0.1261

577

0.4578

731

0.6908

799

0.7778

929

0.8988

P(X<=xi)   

xi

0.06

207.5327

0.09

262.1075

0.23

415.5941

0.28

455.3754

0.44

565.5029

0.77

792.4059

0.91

945.8925



Use the cumulative normal probability excel output above (dealing with the amount of money parents spend per child on back-to-school items) to answer the following question.


The probability is 0.91 that the amount spent on a randomly selected child is at most what value (in $)?

Normal

mu

604

sigma

255

xi

P(X<=xi)

191

0.0527

312

0.1261

577

0.4578

731

0.6908

799

0.7778

929

0.8988

P(X<=xi)   

xi

0.06

207.5327

0.09

262.1075

0.23

415.5941

0.28

455.3754

0.44

565.5029

0.77

792.4059

0.91

945.8925

Explanation / Answer

from above output from cumulative probability P(X<=xi) ; corresponding amount to 0.91 probability amount is 945.8925

probability is 0.91 that the amount spent on a randomly selected child is at most $ 945.8925

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