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MatroZZZ [7]
2 years ago
7

Find the probability that a person is male given that the person prefers hiking near lakes and streams. Let M= male and L= prefe

rs lakes and streams.
This is a conditional probability. What word signals that it is a conditional?
Mathematics
1 answer:
Romashka [77]2 years ago
8 0

Regarding conditional probabilities, the keyword is always given, as a previous event is considered to have happened.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which:

  • P(B|A) is the probability of event B happening, given that A happened.
  • P(A \cap B) is the probability of both A and B happening.
  • P(A) is the probability of A happening.

The previous event having happened is represented by keyword given.

More can be learned about conditional probability at brainly.com/question/14398287

#SPJ1

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A computer assembling company receives 24% of parts from supplier X, 36% of partsfrom supplier Y, and the remaining 40% of parts
Ivan

Answer:

thus the probability that a part was received from supplier Z , given that is defective is 5/6 (83.33%)

Step-by-step explanation:

denoting A= a piece is defective , Bi = a piece is defective from the i-th supplier and Ci= choosing a piece from the the i-th supplier

then

P(A)= ∑ P(Bi)*P(C) with i from 1 to 3

P(A)= ∑ 5/100 * 24/100 + 10/100 * 36/100 + 6/100 * 40/100 = 9/125

from the theorem of Bayes

P(Cz/A)= P(Cz∩A)/P(A)

where

P(Cz/A) = probability of choosing a piece from Z , given that a defective part was obtained

P(Cz∩A)= probability of choosing a piece from Z that is defective = P(Bz) = 6/100

therefore

P(Cz/A)= P(Cz∩A)/P(A) = P(Bz)/P(A)= 6/100/(9/125) = 5/6 (83.33%)

thus the probability that a part was received from supplier Z , given that is defective is 5/6 (83.33%)

8 0
3 years ago
Read 2 more answers
A disco ball is shaped like a sphere with a diameter of 16 inches. To the nearest square inch, what is the surface of the disco
Mademuasel [1]
If the diameter is 16 inches, then its radius is half that, r = 8.

\bf \textit{surface area of a sphere}\\\\&#10;A=4\pi r^2\quad &#10;\begin{cases}&#10;r=radius\\&#10;-----\\&#10;r=8&#10;\end{cases}\implies A=4\pi 8^2
5 0
3 years ago
Sketch the area under the standard normal curve over the indicated interval and find the specified area. (You can use the probab
mafiozo [28]

The area to the right of z = 1.35 is 0.0885 and the area to the left of -0.47 is 0.3192.

<h3>How to compute the values?.</h3>

Given z = 1.35

= 1- P(z < 1.35)

= 1- 0.9115

= 0.0885

The area to the left of -0.47 will be:

= 1 - P(z < 0.47)

= 1 - 0.6808

= 0.3192

Learn more about normal curve on:

brainly.com/question/6758792

#SPJ1

8 0
2 years ago
Pls pls pls pls help e out with this
Mice21 [21]

Answer:

3(n+7)-6=2n+10+n

Step-by-step explanation:

5 0
3 years ago
Oscar saves 40% of his monthly check for college. He earned $450 last month. How much money did Oscar save for college?
Mrrafil [7]

Answer

It is $180

Step-by-step explanation:

You do 450 times 40% and you get $180

4 0
3 years ago
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