roxannejosey5461 roxannejosey5461
  • 21-10-2020
  • Mathematics
contestada

Let A and B be events with P(A) = 0.7 and P(A ∩ B) = 0.3. For what value of P(B) will A and B be independent?

Respuesta :

onyebuchinnaji
onyebuchinnaji onyebuchinnaji
  • 21-10-2020

Answer:

The value of P(B) for independent events = 0.429

Step-by-step explanation:

Given;

P(A) = 0.7

P(A ∩ B) = 0.3

A and B will be independent if  event A will occur and B will also occur, ie A and B will occur independently.

P(A) and P(B) =  P(A ∩ B)  

[tex]P(B) = \frac{ P(A\ n\ B) }{P(A)}\\\\ P(B) = \frac{0.3}{0.7}\\\\P(B) = 0.429[/tex]

Therefore, the value of P(B) for independent events = 0.429

Answer Link

Otras preguntas

Factorise:b+√b-12An easy one.​
For years, women’s professional golf was all but ignored. Women’s tournaments received very little attention in the sports pages, but all that is changing. Golf
Solve 4(1-x) + 3x = -2(x + 1)
True or false please help
can someone please help me with this.
Select the correct text in the passage. Which sentence indicates the main idea of this dairy entry?
If set D is not the empty set but is a subset of set E, then which of the following is true? D ∩ E = D D ∩ E = E D ∩ E = ∅
The table shows a pattern of exponents. What is the pattern as the exponents decrease?
Is f(x)=|x-4|+1 a inverse function
Health factors outside your control