Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die 102 times and record the outcomes in the table below. They conduct a chi-square Goodness-of-Fit hypothesis test at the 5% significance level.
The null and alternative hypotheses are:

H0: The die has the uniform distribution.
Ha: The die does not have the uniform distribution.

Outcome 1 2 3 4 5 6
Expected 17 17 17 17 17 17
Observed 5 11 21 17 7 41

Compute the test statistic χ20, rounded to three decimal places.

Acomputer store bought a program at a cost of $10 and sold it for $13. find the percent markup

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes

The frequency table shows the results of a survey comparing the number of beach towels sold for full price and at a discount during each of the three summer months. the store owner converts the frequency table to a conditional relative frequency table by row. which value should he use for x? round to the nearest hundredth. 0.89 0.90 0.92 0.96