The Bank of Hawaii reports that 7% of its credit card holders will default at some time in their life. The Hilo branch just mailed out 12 new cards today.   a. How many of these new cardholders would you expect to default? What is the standard deviation? (Round your Mean value to 2 decimal places and Standard Deviation value  to 4 decimal places.)           b. What is the likelihood that none of the cardholders will default? (Round your answer to 4 decimal places.)         c. What is the likelihood at least one will default? (Round your answer to 4 decimal places.)

Find the standard deviation of the following numbers (Round your answer to 4 decimal places.):  1, 4, 4, 7, 7, 7, 11, 11, 14, 16, 16

Mario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?

Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?

The tourist bureau of the Caribbean Island survey a sample of 6 United States tourists as they left to return home. The tourist was asked how many days they spent on their visits. Their responses were as follows: 11,8,6,12,10,7 find the standard deviation of this sample of numbers.

Jodie's Ice Cream Stand sells cones at the beach. Her records show that she sells a mean of 180 cones each day, with a standard deviation of 15 cones, distributed normally. She would like to keep the probability of running out of cones below 1%. How many cones should she stock each day?

A single fair die is rolled seven times. Find the mean and standard deviation of the number of times a 3 appears.

3. After being nominated for an MTV Music Award, the probability of winning is 22%. If Ariana Grande has been nominated for five awards, what is the chance that she will win at least one award? How many awards should she expect to win? What is the standard deviation associated with this probability?

A business school dean in Ohio wants to know if graduates who completed an internship during their undergraduate years earn more than business undergraduates who do not complete an internship while in college.  Based on national survey from 1,500 business alumni with less than six years of work experience, they earn on average $50,970 with a standard deviation of $12,976.  Business alumni from the Ohio  school who completed internships on average earned $53,497.  The dean wants you to be 96% confident in your results. a. State in statistical terms the null and alternative hypotheses. b. Determine the appropriate test statistic (z or t). c. Determine the critical value(s). d. Compute the test statistic. e. Make a decision on the hypotheses. (which hypothesis is correct?) f. Determine the p-value for the test statistic.