Having trouble with the following problem: An estimate of the percentage of adul

Question

Having trouble with the following problem:
An estimate of the percentage of adults who have at some pointin their life been told they have hypertension is 23.53 percent. If we select a simple random sample of 5 adults and assumethat the probability that each has been told that he or she hashypertension is .24, find the probability that the number of peoplein the sample who have been told that they have hypertension willbe:
a) More than one b) Two or fewer c) Between one and three, inclusive
I'm having trouble setting up the problem with anything but afixed number. I'm using the formula f(x) = nCx q n-x px
Any help on how to work through this will be muchappreciated!
An estimate of the percentage of adults who have at some pointin their life been told they have hypertension is 23.53 percent. If we select a simple random sample of 5 adults and assumethat the probability that each has been told that he or she hashypertension is .24, find the probability that the number of peoplein the sample who have been told that they have hypertension willbe:
a) More than one b) Two or fewer c) Between one and three, inclusive
I'm having trouble setting up the problem with anything but afixed number. I'm using the formula f(x) = nCx q n-x px
Any help on how to work through this will be muchappreciated!

Explanation / Answer

The probability distribution of the number of people (X) in thesample who have been told that they have hypertension is asfollows,

Number of people (X) P(X) 0 0.2536 1 0.4003 2 0.2529 3 0.0798 4 0.0126 5 0.0008 Total 1

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