# Normal Approximation To Binomial

*label*Mathematics

*timer*Asked: Dec 6th, 2017

*account_balance_wallet*$15

**Question description**

NORMAL APPROXIMATION TO BINOMIAL

- Suppose you have a normal distribution with a mean of 6 and a standard deviation of 1. What is the probability of getting a
*Z*score of exactly 1.2? Use either the Area Under Normal Distribution Calculator or Z - table link to compute the corresponding probability – but be careful!! - You decide to use the normal distribution to approximate the binomial distribution. You want to know the probability of getting exactly 6 tails out of 10 flips. Find the mean and standard deviation of the normal distribution, then compute
*Z*score and use either the Area Under Normal Distribution Calculator or Z - table link to compute the corresponding probability. - You decide to use the normal distribution to approximate the binomial distribution. You want to know the probability of getting from 7 to 13 heads out of 20 flips of a fair, two – sided coin. Find the mean and standard deviation of the normal distribution, then compute
*Z*scores and use either the Area Under Normal Distribution Calculator or Z - table link to compute the corresponding area under the curve to determine cumulative probability. - Is a normal distribution with the same mean and standard deviation as a binomial distribution a viable approximation to use if the binomial distribution’s number of trials
*n*= 150 and its probability of success*p*= 0.01? Why or why not?

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