About 48.2% of all California residents were born in California.  Suppose a random sample of 15 residents of California is chosen.   Round each of the following to four decimal places. What is the probability that exactly 7 of the sample were born in California?  [ans1] What is the probability that fewer than 7 of the sample were born in California?  [ans2]

Determine whether or not the following represents a binomial experiment.  About 20% of all transactions in U.S. stores are by cash payments.  At a certain store, a clerk records 100 transactions to see how many are paid by cash. 

Find the area under the standard normal curve to the left of z = 1.57.

What is the probability that -0.98 < z < 1.48 in a standard normal distribution?  

A poll of 410 people attending a Dodger game were asked how much they spend on food at the game, who was their favorite player and whether they took public transportation to the game. Answer each of the following.   a) What is the population in this study?  [pop] b) What is the sample in this study? [sam] c) List the variable(s) of interest in this study.  [var]

Classify the following random variable according to whether it is discrete or continuous. The temperature of the water in a bathtub

The table below gives the results of a survey given to a random sample of credit card users living in the Los Angeles area.  They were asked their age group and whether or not they pay their credit card balance off in full each month.   Data Table Pay off fully each month Do not pay off fully each month Age 20 to 29 years 74 51 Age 30 to 39 years 72 37 Age 40 to 49 years 81 25 Age 50 and older 92 26 Answer the following based on the information in this table.  If rounding is necessary, round to three decimal places.  If a credit card user is randomly selected, what is the probability that they are aged 30 to 39 and pay their bill fully each month?  [one] If a credit card user is randomly selected, what is the probability that they are aged 40 to 49 or do not pay off their bill fully each month?  [tw] If a person who pays off their bill each month is chosen, what is the probability that they are aged 50 and older? [three]

Which of the following is the best description of a simple random sample?

A random sample of 2301 people living in Los Angeles indicated that 75 agreed with the statement, “I would like to change jobs within the next year.” Complete the following based on this information using only definitions provided in this class.  It is [un] for a person living in Los Angeles to agree with the statement because the probability of [prob] is [less].

It is claimed that 44% of all college students plan to go to graduate school.   You decide to test this claim.  What is the minimum number of college students you should poll to be sure that the Central Limit Theorem will apply in your work? Enter the answer in the space provided below.