Suppose you draw two cards, one after another, with replacement from a standard deck of cards. What is the probability of drawing a black card AND a jack? Give your answer as a fraction in lowest terms.

Each time you play a certain game it is possible to lose $5, break even, or win $40. The probability for each outcome, X, is shown in the table. Calculate σx ,the standard deviation of X. Round to the hundredths place.

The average annual rainfall, taken at 25 different Sonoran Desert locations is found to be 9.25” with s = 2.5”. Find the 95% confidence interval for the true average Sonoran Desert annual rainfall. Round to the nearest thousandth.

You conduct an SRS of 15 online and 18 seated students. The sample average for online is 86 with s=2; the sample average for seated is 90 and s=8.Use a significance test to decide if online students have lower grades? (α=5%).

Each time you play a certain game it is possible to lose $5, break even, or win $40. The probability for each outcome, X, is shown in the table. Calculate μx, the expected value for this game.  Round to the hundredths place.

Final exam scores are normally distributed with μ = 75 points and σ = 15 points. What is the probability that a randomly selected student will score between 93 and 100 points? Round to the nearest percent.

The table shown gives the probability that a customer will order a specific restaurant item. What is the probability that a customer will NOT order Pasta?

Wiki.com claims that teens average 6.5 hrs of sleep/night. You think that teens sleep longer than this and conduct a SRS of 100 teens, x ̅= 6.75 hrs and s = 1.5 hrs. Use a significance test to decide if Wiki.com claim is false (α=1%).

If you roll a standard six-sided die nine times what is the probability that you will roll the number 5 at least once? Round your answer to the nearest percent.

The distribution of the length of time, that phone batteries hold a charge, is right-skewed with σ = 7 hours. The MyPhone Company desires a 95% confidence interval with a margin of error of approximately 1 hour. What sample size is needed?

The distribution of the amount of money that students spend on coffee per month is right skewed with μ = $10 and σ = $125. In a SRS of 30 students, what is the probability that these students will spend on average, less than $55 on coffee?

ShakeShack claims their shakes have 625 mL. In a SRS of 30 shakes you find an average of 619 mL. The shakes have σ = 5 mL. Use a significance test to determine if the company is underfilling their shakes (α=5%).

Participants rated two candies on a 0-10 scale. Perform a significance test to determine if the mean rating of Candy A is different than the mean rating of Candy B.