The probability that Edward purchases a video game from a store is 0.67 (event A), and the probability that Greg purchases a video game from the store is 0.74 (event B). The probability that Edward purchases a video game (given that Greg has purchased a video game) is 0.67. Which statement is true?A. Events A and B are independent because P(A|B) = P(A)
B. Events A and B are dependent because P(A|B) = P(A)
C. Events A and B are independent because P(A|B) = P(B)
D. Events A and B are dependent because P(A|B) P(A)

Answers

Answer 1

Answer:

The statement that is true is Option (A) Events A and B are independent because P(A|B) = P(A).

What is conditional probability ?

In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event has already occurred. In conditional probability, we always deal with two or more mutually exclusive events.

How to identify the correct statement ?

Given that the probability that Edward purchases a video game from a store is 0.67 (event A), and the probability that Greg purchases a video game from the store is 0.74 (event B). The probability that Edward purchases a video game (given that Greg has purchased a video game) is 0.67.

Thus we can see that both the events A and B are mutually exclusive events . Also A and B are both independent events means they do not have any relation of simultaneously occurring.

P(A/B) means that the probability that A will occur given that B has already occurred.

As both the events are independent, therefore when A will occur, it will have no relationship with event B.

∴ P(A/B) = P(A) .

Thus the statement that is true is Option (A) Events A and B are independent because P(A|B) = P(A).

To learn more about conditional probability, refer -

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Answer 2

Answer:

Events A and B are independent because P(A|B) = P(A).

Given two events A and B, the conditional probability P(A|B) is the probability that A happends, knowing that B has happened. If the two events are dependent, knowing that B has already happened will change the probability of A. If, instead, knowing that B has happened doesn't change the probability of A, it means that A doesn't depend on B, and thus the events are independent.

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a salesperson earns 350 a wee plus 10% of their weekly sales. Find the sales necessary for the salesperson to earn at least 800 in one week

Answers

If you would like to find the sales necessary for the salesperson to earn at least 800 in one week, you can calculate this using the following steps:

s ... weekly sales
350 + 10% of sales >= 800
350 + 10% of s >= 800
350 + 10% * s >= 800
10/100 * s >= 800 - 350
1/10 * s >= 450 /*10
s >= 450 * 10
s >= 4500

The correct result would be: weekly sales >= 4500.

$350 + 10 \ percent \ of sales \ \textgreater \ = 800$

$350 + 10 \ percent \ of sales \ \textgreater \ = 800$

$350 + 10 \ percent \ * sales \ \textgreater \ = 800$

$10/100 * sales \ \textgreater \ = 800 - 350$

$1/10 * sales \ \textgreater \ = 450 /*10$

$sales \ \textgreater \ = 450 * 10$

$sales \ \textgreater \ = 4500$

A bicycle wheel has a radius of 28 cm. what is the circumference of the wheel?

Answers

Answer:

176 cm

Step-by-step explanation:

You want the circumference of a wheel with a radius of 28 cm.

Circumference

The circumference of a circle is given by ...

C = 2πr

For r = 28 cm, this is ...

C = 2π(28 cm) = 56π cm ≈ 176 cm

The circumference of the wheel is 56π cm, about 176 cm.

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Log x+log7=log 42 solve please

Answers

log x+ log 7= log 42
log x=log 42 - log 7
log x=log 42/7 [ log a - log b= log (a/b) ]
log x= log 6

therefore:
x=6

Answer: x=6

Please find attached photograph for your answer.

Hope it helps.

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A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude of 41,000 feet. Model the most fuel-efficient altitudes using a compound inequality.