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

a. P (x < 60) = binompdf (100,0 20,59)

b. P (x<60) = binompdf (100.0.20.60)

c. P (x<60) = binomcdf (100,0,20,59)

d. P (x<60) = binomcdf (100.0.20.60)

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Mathematics

1 November, 18:14

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

a. P (x < 60) = binompdf (100,0 20,59)

b. P (x<60) = binompdf (100.0.20.60)

c. P (x<60) = binomcdf (100,0,20,59)

d. P (x<60) = binomcdf (100.0.20.60)

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Answers (1)

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Elsie Cervantes · Answer 1

Step-by-step explanation:

Since we are dealing with binomial probability in this scenario, then the outcome is either a success or a failure. A success in this case means that a chosen adult has a bachelor's degree. The probability of success, p would be 20/100 = 0.2

The number of adults sampled, n is 100

The number of success, x is 60

The probability that more than 60 adults have a bachelor's degree P (x >60) would be represented as

d. P (x<60) = binomcdf (100.0.20.60)

binompdf is used when we want to determine P (x = 60)