twenty percent of adults in a particular community have at least a bachelors degree. suppose x is a binomial…

twenty percent of adults in a particular community have at least a bachelors degree. suppose x is a binomial random variable that counts the number of adults with at least a bachelors 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 bachelors degree, p(x > 60)? choose the correct answer below. a. p(x > 60)=binompdf(100,0.20,60) b. p(x > 60)=binomcdf(100,0.20,60) c. p(x > 60)=1 - binomcdf(100,0.20,60) d. p(x > 60)= 1 - binomcdf(100,0.20,59)

twenty percent of adults in a particular community have at least a bachelors degree. suppose x is a binomial random variable that counts the number of adults with at least a bachelors 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 bachelors degree, p(x > 60)? choose the correct answer below. a. p(x > 60)=binompdf(100,0.20,60) b. p(x > 60)=binomcdf(100,0.20,60) c. p(x > 60)=1 - binomcdf(100,0.20,60) d. p(x > 60)= 1 - binomcdf(100,0.20,59)

Answer

Explanation:

Step1: Recall binomcdf function

binomcdf(n,p,k) gives $P(X\leq k)$ where $n$ is the number of trials, $p$ is the probability of success on a single - trial, and $k$ is the number of successes.

Step2: Find $P(X > 60)$

We know that $P(X>60)=1 - P(X\leq60)$. Since binomcdf(100, 0.20, 59) gives $P(X\leq59)$ and binomcdf(100, 0.20, 60) gives $P(X\leq60)$. To find $P(X > 60)$, we use the formula $P(X>60)=1 - P(X\leq60)=1 -$ binomcdf(100, 0.20, 60).

Answer:

C. $P(x > 60)=1 -$ binomcdf(100,0.20,60)