Determining if the normal approximation to the binomial distribution should be used.

Determine if the normal approximation to the binomial distribution could be used for the following problems:

A.) A study found that 1% of Social Security recipients are too young to vote. 800 Social Security recipients are randomly selected.

B.) A study found that 30% of the people in a community use the library in one year. 15 people from the community were selected.

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The Normal Approximation to the Binomial:
<br>Computing binomial probabilities using the binomial PDF can be difficult for a large n. If n is quite large or if the binomial applet is not available, the normal distribution can be used to ...

Solution Summary

The solutoin determines if the normal approximation to the binomial distribution could be used for the following problems:

A.) A study found that 1% of Social Security recipients are too young to vote. 800 Social Security recipients are randomly selected.

B.) A study found that 30% of the people in a community use the library in one year. 15 people from the community were selected.

... 2. Determine whether each of the distributions given below ... can be used as an approximation to the ... must be met to use the normal distribution to approximate the ...

...binomial problem, the researcher is trying to determine the probability ... to be determined) 48 80 ...binomial distributions can be worked by the normal curve because ...

... 1. If you determine that for the graph of ... In addition the approximation improves as the number ... In normal distribution approximately 68% of the observations are ...

... 2.) Determine whether each of the distributions given below represents a ... 7.) Explain why the normal distribution can be used as an approximation to the ...

... the binomial distribution can be used to determine the probability ... blue line in the graph represents the normal approximation to the binomial distribution. ...

...Determine the area under the standard normal curve that ... So X has a binomial distribution with n=100 ...Using method of normal approximation to binomial, mean=np ...

... Question 15 For the following conditions, determine if it ... For binomial random variable P(X=x) = nC xpx ... 200, x= 40, p = 1/6 Using normal approximation Mean =np ...

... could easily be determined without referring ...distributions is the normal approximation appropriate? ... focusing on probability, binomial probability distribution...

... The probability of coin tosses being tails is determined. ...Determine the probability that a customer will buy at ... X − 10 Z= = and from standard normal table we ...