Advanced Placement (AP) High School

Given that the P(A) = .3, P(B) = .5 and P(AnB) = .25, decide if the
events are independent? Justify your answer.

Answers

Answer 1

Answer:

A and B are not independent

Explanation:

Given

[tex]P(A) = .3,[/tex]

[tex]P(B) = .5[/tex]

[tex]P(A\ n\ B) = .25[/tex]

Required

Determine if A and B are independent

If A and B are independent, then:

[tex]P(A\ n\ B) = P(A) * P(B)[/tex]

Substitute values for P(A) and P(B)

[tex]P(A\ n\ B) = .3 * .5[/tex]

[tex]P(A\ n\ B) = .15[/tex]

The calculated value of P(A n B) and the given value of P(A n B) are not equal.

i.e.

[tex].15 \ne .25[/tex]

Hence, A and B are not independent

Related Questions

sorry this isn't an academic question but- if im 13, 74 or such pounds and 5'3, where can i shop for cute trendy clothes

im super skinny and really struggle so can u find it in ur heart to let people help me and not delete this thanks its not harming anyoen.

Answers

Old Navy,

Walmart

Target

Hot Topic

Shein

One face of a cube-shaped package has an area of 5 square inches. What is the lateral
surface area of the package?

Answers

Answer:

LSA of a cube = 100 in²

Explanation:

Let the area of the cube be a.

Given the following data;

a = 5 in²

To find the lateral surface area;

We know that a cube has four faces and as such the lateral surface area would be the area of the four faces.

Lateral surface area (LSA) of a cube = 4a²

Substituting into the equation, we have;

LSA of a cube = 4*5²

LSA of a cube = 4*25

LSA of a cube = 100 in²

Therefore, the lateral surface area of the package is 100 square inches.

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