Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply: P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05. Let A = {E1, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7} Find the probability of the intersection of A and B.

1 answer
Question:

Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply:
P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.
Let A = {E1, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}
Find the probability of the intersection of A and B.

Answers

Answer:The required probability for the intersection of A & B = 0.25Step-by-step explanation:Given that:Sample space S =  {E1, E2, E3, E4, E5, E6, E7} and the probability of each sample points are:P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.Also;A = {E1, E4, E6}B = {E2, E4, E7} C = {E2, E3, E5, E7}Then P(A) = 0.05 + 0.25 + 0.10 = 0.4P(B) = 0.20 + 0.25 + 0.05 = 0.5P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.6The intersection of A and B are:P(A ∩ B) = E4P(A ∩ B) = 0.25The required probability for the intersection of A & B = 0.25

Similar Solved Questions

1 answer

Which entity was given power by the articles of confederation

Which entity was given power by the articles of confederation...
1 answer

Find x 3x 2x+40 x+50 4x

find x 3x 2x+40 x+50 4x...
1 answer

What are the effects of chemical weathering

what are the effects of chemical weathering...
1 answer

SOMEONE PLEASE HELPPPP ME I NEED THE ANSWER ILL GIVE YOU BRAINLIST

SOMEONE PLEASE HELPPPP ME I NEED THE ANSWER ILL GIVE YOU BRAINLIST...
1 answer

Consider the voltaic cellZn(s) + Cu{2+}(aq)--> Zn{2+}(aq)+Cu(s){}=chargeUnder standard conditions, what is the maximum electrical work, in Joules that can accomplish if 60 g of copper is plated out?

Consider the voltaic cellZn(s) + Cu{2+}(aq)--> Zn{2+}(aq)+Cu(s){}=chargeUnder standard conditions, what is the maximum electrical work, in Joules that can accomplish if 60 g of copper is plated out?...
1 answer

The base of an isosceles triangle is one half as long as each of the congruent sides. The perimeter is 55 in. How long is the base?

The base of an isosceles triangle is one half as long as each of the congruent sides. The perimeter is 55 in. How long is the base?...
1 answer

Simplify - root (9+y)^2 if y <-10

simplify - root (9+y)^2 if y <-10...
1 answer

You can do the explain part if you want but don’t have to

you can do the explain part if you want but don’t have to...
1 answer

What is the value of the electric current that passes through the 42V generator

What is the value of the electric current that passes through the 42V generator...
2 answers

I have no idea :) please help !

I have no idea :) please help !...
2 answers

Anea: Who are called historic personalities? Whythey called so?​

anea: Who are called historic personalities? Whythey called so?​...
1 answer

Light energy is trapped and converted into chemical energy during the Citric acid cycle true or false

Light energy is trapped and converted into chemical energy during the Citric acid cycle true or false...
2 answers

What is the answer please due in 15 mins

what is the answer please due in 15 mins...
1 answer

You list more than ten words from "The Sunset" by St. Louis. that help create the mood of the poem. You write a complete, thoughtful paragraph about what effect these words had on you, and what connection you can make to your own life and experience.

You list more than ten words from "The Sunset" by St. Louis. that help create the mood of the poem. You write a complete, thoughtful paragraph about what effect these words had on you, and what connection you can make to your own life and experience....
1 answer

What brain structure relays information from the eyes to the visual cortex?

What brain structure relays information from the eyes to the visual cortex?...
1 answer

A microwave oven heats by radiating food with microwave radiation, which is absorbed by the food and converted to heat. Suppose an oven’s radiation wavelength is 12.5 cm. A container with 0.250 L of water was placed in the oven, and the temperature of the water rose from 20.0°C to 100.0°C. How many photons of this microwave radiation were required? Assume that all the energy from the radiation was used to raise the temperature of the water.

A microwave oven heats by radiating food with microwave radiation, which is absorbed by the food and converted to heat. Suppose an oven’s radiation wavelength is 12.5 cm. A container with 0.250 L of water was placed in the oven, and the temperature of the water rose from 20.0°C to 100.0°C. Ho...
2 answers

What was the "Corrupt Bargain"?

What was the "Corrupt Bargain"?...
2 answers

FP!!!!!!!!!!!!!!!!!!! if ur up ( 10 x 8 ) + 150

FP!!!!!!!!!!!!!!!!!!! if ur up ( 10 x 8 ) + 150...
1 answer

Please do 1-4 for me

please do 1-4 for me...
2 answers

What is the following product

What is the following product...

-- 0.042526--