Binomial distribution to estimate the probability

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Suppose that 65% of high school students eat breakfast before going to school. A random sample of 500 high school students were surveyed. Let ?X ?= the number of high school students in a random sample of size 500 who eat breakfast before going to school.

1) Use a binomial distribution to estimate the probability that 300 or fewer high school students in the sample eat breakfast before going to school.

2) Justify why ?X? can be approximated by a Normal distribution.

3) Use a Normal distribution to estimate the probability that 300 or fewer high school students in the sample eat breakfast before going to school.

Reference no: EM132907114

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