# Binomial distribution

Assume a binomial probability distribution has µ=0.60 and n= 200

a. What is the mean and standard deviation?

b. Is this a situation in which binomial probabilities can be approximated by the normal probability distribution? Explain

c. What is the probability of 100 to 110 successes?

d. What is the probability of 130 or more successes?

e. What is the advantage of using the normal probability distribution to approximate the binomial probabilities? Use part (d) to explain the advantage

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#### Solution Preview

Binomial distribution

Assume a binomial probability distribution has p=0.60 and n= 200

a. What is the mean and standard deviation?

Mean =np=200*0.60=120

Variance =np(1-p)=48

Standard deviation = = =6.928

b. Is this a situation in which binomial probabilities can be approximated by the normal probability distribution? Explain

The Normal distribution can be used to approximate Binomial probabilities when n is large and p is ...

#### Solution Summary

The solution provides step by step method for the calculation of probability using binomial distribution . Formula for the calculation and Interpretations of the results are also included.