From 10 volunteers, choose a president, a vice president, and 3 other members of a committee. No one can hold more than one role. How many ways can this be done? 

 In a class of 20 students, 12 are business majors and 8 are not. If 5 of the business majors are women, find P(student is a woman | student is a business major).

Five cards are drawn without replacement from a standard deck. Find P(getting all king or a heart).

An airline company claims that 2 out of 10 flights departing from a certain airport are delayed. Suppose you work for the company as a statistical consultant and want to see whether the true proportion of delayed flights is different from what they claim. You randomly selected 120 flights and recorded their flight status. Out of 120 sampled flights, 18 flights were delayed. The p-value of the test is

Different houses for sale have the following variables in the description. Which variable is nominal?

Please note that this question consists of seven parts. You need to show all mathematical calculations/explanations to get the final answer. Just giving the answer without showing work may result in zero for the question.  A study was made to determine whether the snack choices for males and females are independent. The table below gives the results from one such study. For the following questions, you may assume

Construct a histogram from this relative frequency table. Then, determine if the distribution is approximately normal, skewed right, or skewed left. 10 – 19 0.05 20 – 29 0.15 30 – 39 0.35 40 – 49 0.30 50 – 59 0.15

Discuss the major themes of C. S. Lewis’ book The Abolition of Man.

Discuss the Differences between Dr. Thadius Williams’ concepts of Social Justice A and Social Justice B. Give arguments for both positions.

Define the following terms: 1) Worldview 2) Imago Dei 3) Immanent Frame 4) Meta-Ethics 5) Utilitarianism 6) Retributive Justice (or Lex Talionis) 7) Eternal Law (as taught by Thomas Aquinas 8) Theocracy 9) Trial by Ordeal 10) Objective Morality.