Question

2. A corporation must appoint a​ president, chief executive officer​ (CEO), chief operating officer​ (COO), and chief financial officer​ (CFO). It must also appoint a planning committee with three different members. There are 14 qualified​ candidates, and officers can also serve on the committee. Complete parts​ (a) through​ (c) below.

a. How many different ways can the officers be​ appointed? There are ...... ? different ways to appoint the officers.

b. How many different ways can the committee be​ appointed?

There are___different ways to appoint the committee.

c. What is the probability of randomly selecting the committee members and getting the three youngest of the qualified​ candidates?

​P(getting the three youngest of the qualified candidates)=________
(Type an integer or a simplified​ fraction.)

3. The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tests positive, given that he or she did not have the disease. The individual actually had the disease Yes No postive 123 39 negative 11 127 The probability is approximately ...... ?(Round to three decimal places as​ needed.) 4. The accompanying table shows the results from a test for a certain disease. Find the probability of selecting a subject with a negative test​ result, given that the subject has the disease. What would be an unfavorable consequence of this​ error? The individual actually had the disease Yes No Postive 311 4 Negative 15 1185 The probability is ......?(Round to three decimal places as​needed.) 5. In an​ experiment, college students were given either four quarters or a​ $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts​ (a) through​ (c) below. Purchased Gum Kept the Money Students Given Four Quarters 35 18 Students Given a​ $1 Bill 16 26 a. Find the probability of randomly selecting a student who spent the​ money, given that the student was given four quarters. The probability is ...... ? (Round to three decimal places as​needed.) b. Find the porbability of randomly selecting a student who kept the money, given that the student was given a $1bill The probability is .....? (Round to three decimal places as needed). c. What do the preceding results suggest? A. a student given a $1 bill is more likely to have kept the money B. a student given a $1 bill is more likely to have kept the money than a student given four quarters.

I need help to answer all of them please !

Answer 1