2 years ago

Given that P(A)=0.5 and p(AUB)=0.6 find the P(B) if P(A/B) =0.4?

1 answer:

4 0

First we have to find p(AnB)
P(A/B)=p(AnB)/p(A)
P(AnB)=p(A) x p(A/B)
P(AnB)=0.5 x 0.4 = 0.2
Then to find p(B)
P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = 0.5+p(B)-0.2
0.6=0.3+p(B)
P(B)=0.6-0.3=0.3

You might be interested in

(04.05 MC)

nika2105 [10]

Answer:

Step-by-step explanation:

Plug in and see.

Check A: Lets plug in (0,3) into y<2/3 x+2.

3<2/3 (0)+2

3<2 is not true so not A

Check C: Lets plug in (3,5) into y<2/3 x+2.

5<2/3 (3)+2

5<2+2

5<4 is not true so not C

Check B: Lets plug in (-3,1) into y<2/3 x+2.

1<2/3 (-3)+2

1<0 is not true so not B

Check D: Lets plug in (1,2) into y<2/3 x+2.

2<2/3 (1)+2

2<2/3+2 is true so D

6 0

2 years ago

Admission to a theme park is $12. Students receive a 10% discount. What is the amount of the discount? How much would a student

KATRIN_1 [288]

The answer is C

10% = 0.10

12 x 0.10 = 1.20
12 - 1.20 = 10.80

3 0

3 years ago

A teacher asked four of her students to write an expression for the problem below. All products in a store are being discounted

Sunny_sXe [5.5K]

Answer:

she iduno

Step-by-step explanation:

8 0

2 years ago

The price of a coat increased from $78 to $92. What is the price increase percentage?

blagie [28]

Answer:

18%

Step-by-step explanation:

Since the original price is $78 then this is the original 100% of the price. The new price will be marked up x percent and be $92. To find the new price set up a proportion with these values:

$\frac{92}{78}=\frac{x}{100}$

Solve for the original price by cross multiplying numerator with denominator.

x(78) = 92(100)

78x = 9200

x= 117.9 = 118%

This is 18% more or over the original price.

5 0

2 years ago

Alicia took a survey to determine her classmates’ favorite pets. She wrote the results on the board. Select whether each stateme

insens350 [35]

Answer:

Step-by-step explanation:

7 0

2 years ago