Get the solution to "The normal distribution is a good estimate for..."

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

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 \geq 5

n q \geq 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 \geq 5

n q = 50 * 0.3 = 15 \geq 5

So, we can conclude that the normal distribution is good estimate for binomial distribution.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school statistics

Didn't find what you were looking for?