PLEASE HELP ME ANSWER THE FOLLOWING IN A STEP BY STEP SOLUTION

A.

6. In a college graduating class of 100 students, 54 studied mathematics, 69 studied history and 35 studied both mathematics and history. a. Draw the Venn diagram: . b. The student takes mathematics or history; ( .. . c. The student does not take either of these subjects: : d. The student takes history but not mathematics. (. ..4. An expedition team consisting of 10 members to be chosen from a group of 4 teachers and 12 students a. Calculate the number of teams that can be formed. b. If the team must consist of at least 2 teachers, calculate the numbers of teams that could be formed. 5. a. How many 3-digit numbers can be formed from the digits 2, 3, 4, 6, 7 without repetitions? b. How many are odd? c. How many are even? (@.7. A random sample of 200 adults are classified below according to gender and the level of education attained MALE FEMALE Elementary 38 45 Secondary 28 50 College 22 17 If a person is picked at random from this group, find the probability that a. The person is a male, given that the person has a secondary education ( . b. The person does not have a college degree, given that the person is female (8. Suppose that a sales force has found 20 qualified buyers and has begun the sales process. The sales manager estimates that 10% eventually proceeds to make a purchase. Assume that a professional company offers three services, priced at $2,000, $7,000 and $20,000, respectively. Based on past results or the sales manager's estimates, you project that 60% of first-time buyers will choose the cheapest option, 30% will choose the middle option and 10% will choose the most expensive option. a. Calculate the size of a likely sale for any prospect that makes a purchase. b. How many qualified buyers must be found in order for the company to generate $80, 000 in sales in a given period? Your final answer must be rounded to the nearest whole number. (