Use normal approximation to approximate the probability that the number 1 appears at least 180 times. (b)  Use normal approximation to approximate the probability that odd numbers appear between 480 and 510 times (both 480 and 510 are included)

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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
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A fair die is independently tossed 1000 times.

(a)  Use normal approximation to approximate the probability that the number 1 appears at least 180 times.

(b)  Use normal approximation to approximate the probability that odd numbers appear between 480 and 510 times (both 480 and 510 are included).

Please use wolfram as the online calculator for Φ(x). Round off to 4 d.p.

https://www.wolframalpha.com/input?i=standard+normal&assumption=%7B%22MC%22%2C+%22%22%7D+-%3E+%7B%22Formula%22%7D

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