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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)?

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Answer:

[tex]P(X>60) = 1-binomcdf(100,0.20,60)[/tex][tex]P (X \leq 60)[/tex]

Step-by-step explanation:

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

[tex]P(X>60)[/tex]

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

[tex]P (X\leq 60 )[/tex]

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

[tex]P(X\leq 60)=binomcdf(100,0.20,60)[/tex]

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

[tex]P(X>60) = 1-binomcdf(100,0.20,60)[/tex]

(Because the total probability is always 1)

I hope it will help you!

The probability that more than 60 adults have a​ bachelor's degree, ​P(greater than​60) is [tex]P(X>60) = 1- binomcdf(100,0.20,60)P(X\leq 60)[/tex]

Calculation of probability:

Since P(X>60)

So, the remaining part of the probability is [tex]P(X\leq 60)[/tex]

Since the given probability is inclusive of 60 thus the formula that should be used is [tex]P(X\leq 60) = binomcdf(100,0.20,60)[/tex]

Now

we have to go back to the actual probability, so here the formula used should be [tex]P(X>60) = 1- binomcdf(100,0.20,60)[/tex]

Since the total probability should always be 1

learn more about probability here: https://brainly.com/question/21207761

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