A club has 30 members in it. There are four positions for his governing body pre

Question

A club has 30 members in it. There are four positions for his governing body presidents vice-president, treasurer and secretary. If four persons are to be chosen is leader answer following questions; (a) How many distinct possible committees can be formed, that is to say to all the members different? (b) How many overall possible committees can there be? The table below shows the number of make and female students enrolled in math at one college the fall semester. (a) Find the probability that a randomly selected students is female, given that the students is a major. (Show your work) (b) Find the probability that a randomly selected students is not a math major, given that the is male. (Show your work) A frequency distribution is shown below. Complete parts (a) and (b).

Explanation / Answer

Q.2 Total Members = 30

(a) How many different possbile committe can be formed, when all the members are different= 30C4

It is because we have to select 4 persons out of 30 people and different combinations can be applied.

(b) Overall possibilities = 30 * 29 * 28 * 27

it is beacuse if we select people randomly for the posts these are the overall possbilities of slecting them.

Q.3 (a) Here given is that the student is a Major , so total number of major students = (394 + 225) = 619

Out of which females are = 225

so Probability = 225/ 619 = 0.3635

(b) Given that student is male so number of males students = 394+ 2004 = 2398

Number of non- majors among that = 2004

so Probability = 2004/ 2398 = 0.8397

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