The normal distribution is a good estimate for which of the binomial distributions. n=50, p=0.7

Hrefnui9

Hrefnui9

Answered question

2022-09-12

The normal distribution is a good estimate for which of the binomial distributions. n=50, p=0.7

Answer & Explanation

Lorenzo Aguilar

Lorenzo Aguilar

Beginner2022-09-13Added 18 answers

The probability of k success in nn attempts using the Binomial Distribution calculate using the formula,
P ( n = k ) = C ( n , k ) p k q n k
where is p probabilty, q=1−p and n sample size
To compute some binomial probabilities, can be tedious and subject to mistakes. Fortunately, the normal curve can often be used to obtain a satisfactory estimate of a binomial probability. The normal distribution provides a good estimate of the binomial distribution when,
n p 5
n q 5
where is p probabilty, q=1−p and n sample size.
Since n=50, p=0.7 therefore q=0.3, so we have,
n p = 50 0.7 = 35 5
n q = 50 0.3 = 15 5
So, we can conclude that the normal distribution is good estimate for binomial distribution.

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