A study is to be done to look at the proportion of SMC students that belong to a special program.  A random sample of 250 SMC students indicates that 73 of them belong to a special program.  Choose the all appropriate conditions below that confirm that the Central Limit Theorem will apply in this problem.   Only the conditions used in this class will be considered correct. 

The table below gives the probability distribution for the number of classes that a student is taking at a particular community college. Number of Classes (X) P(X) 1 0.07 2 0.11 3 0.25 4 ? 5 0.09 a. Complete the table by finding P(4), the probability that a student is taking 4 classes.  [answera] b.  Is the random variable, X, continuous or discrete?  [answerb] c. What is the most likely number of classes a student at this college is taking?  If rounding is necessary, round to two decimal places. [answerc] d. What is the expected number of classes a student at this college is taking?   If rounding is necessary, round to two decimal places.   [asnwerd] e. What is the standard deviation in the number of classes a student at this college is taking? If rounding is necessary, round to two decimal places. [answere] f. Which of the following interpretations of the expected value is correct? [exp]  

What two z-scores enclose the middle 80% of the standard normal curve?  Round to two decimal places. 

Five hundred high school students in Los Angeles were randomly chosen and classified by their GPA and how many days of school they had missed.  The data is summarized in the table below.  If rounding is necessary, round to three decimal places.    GPA < 2.0 GPA 2.0 to 3.0 GPA > 3.0 Missed 5 or fewer days 60 100 120 Missed more than 5 days 80 110 30 a. If one student is randomly chosen, what is the probability that they missed 5 days or fewer or had a GPA less than 2.0? [ans1] b. If one student is randomly chosen, what is the probability that they missed more than 5 days and had a GPA between 2.0 and 3.0? [ans2] c. If one student is randomly chosen and you know that they have missed more than 5 days, what is the probability that they had a GPA greater than 3? [ans3]

About 7.2% of all SMC students say that they plan to transfer to a private school.  A random sample of 16 SMC students is chosen.  Find each of the following probabilities. Round each response to four decimal places.  1. What is the probability that exactly 4 of the 16 chosen students plan to transfer to a private college? [one] 2. What is the probability that at most 4 of the 16 chosen students plan to transfer to a private college. [two]

The Fugitive Slave Act of 1850, coupled with growing concern over the possibility that slavery would be allowed in Kansas when it was admitted as a state, made the 1850s a highly volatile and violent period of American antislavery.

Most northern abolition laws in the late eighteenth and early nineteenth centuries adopted a policy known as “gradual emancipation.”  As a result, these laws typically 

John Adams serves as both a character and the narrator of “Hamilton, the Musical.”

Which of the following people were most likely to support export tariffs?

In the song, “The Room Where It Happens,” from “Hamilton, the Musical,” Alexander Hamilton expresses his desire to avoid political entanglements.