Question

Twenty percent of adults in a particular community have at least a​ bachelor's degree. Suppose x is a binomial random variable that counts the number of adults with at least a​ bachelor's degree in a random sample of 100 adults from the community. If you are using a calculator with the binompdf and binomcdf​ commands, which of the following is the most efficient way to calculate the probability that more than 60 adults have a​ bachelor's degree, ​P(xgreater than​60)?

Answer 1

Answer:

$P(X>60) = 1-binomcdf(100,0.20,60)$$P (X \leq 60)$

Step-by-step explanation:

As we have to find an efficient way for the probability as follows:

$P(X>60)$

First of all we will find the remaining part of the probability that is:

$P (X\leq 60 )$

As the given probability is inclusive of 60 so the formula used will be:

$P(X\leq 60)=binomcdf(100,0.20,60)$

Now going back to the actual probability, the formula used will be:

$P(X>60) = 1-binomcdf(100,0.20,60)$

(Because the total probability is always 1)

I hope it will help you!