5a) For two independent? events,A and? B,P(A)equals= . 2 andP(B)equals= . 3 a. F

Question

5a)

For two independent? events,A and? B,P(A)equals= . 2 andP(B)equals= . 3

a. Find P(Aintersect??B).

b. Find? P(A|B). c.Find ?P(Aunion??B).

a.? P(Aintersect??B)equals =

6)

A recent survey was conducted of the 20largest public companies in a particular country. Of these 20companies,7were banking or investment companies based in city X. A total of 10 city X companies were on the top 20list. Suppose we select one of these 20 companies at random. Given that the company is based in city? X,what is the probability that it is a banking or investment? company?The probability is --------. (Roundto three decimal places as? needed.)

7)

A recent survey was conducted of the 20largest public companies in a particular country. Of these 20companies,7were banking or investment companies based in city X. A total of 10 city X companies were on the top 20list. Suppose we select one of these 20companies at random. Given that the company is based in city? X,what is the probability that it is a banking or investment? company? The probability is --------. (Roundto three decimal places as? needed.)

Summary of the ratings.

Rating     Count    Percent

   2       7          7.14

   3       14         14.29

   4       55         56.12

   5       22         22.45

   N=     98         

Explanation / Answer

5a) Given that,

P(A) = 0.2

P(B) = 0.3

ALso these events are independent.

Two events are independent iff

P(A and B) = P(A)*P(B)

This is the intersection probability.

a) P(A and B) = 0.2*0.3 = 0.06

b) P(A / B) = P(A and B) / P(B) = 0.06 / 0.3 = 0.2

c) P(A or B) is the probability of union.

P(A or B) = P(A) + P(B) - P(A and B) = 0.2 + 0.3 - 0.06 = 0.44

Related Questions

Navigate

• Browse (All)
• Browse 5
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.