A membership to the local gym $40 and then $2 per visit. What is the maximum number of visit that can be made for $90? Is the fu
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Based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.
<h3>What is probability?</h3>Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Two events, A and B are independent, if:
P(A B) = P(A) P(B)
In this problem, the events are:
- Event A: Being female.
- Event B: Earning over $50,000.
Out of the 1000 people, 450 are female, hence:
P(A) = = 0.45
850 earn over $50,000, hence:
P(B) = = 0.85
375 are women who earn over $50,000, hence:
P(A B) =
= 0.375
The multiplication of the probabilities is:
P(A B) = 0.45(0.85} = 0.3825
Therefore based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.
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Answer:
1)
2)
3)
Step-by-step explanation:
Given : Mr. and Mrs. Romero are expecting triplets. Suppose the chance of each child being a boy is 50% and of being a girl is 50%.
To Find : The probability of each event.
1) P(at least one boy and one girl)
2) P(two boys and one girl)
3) P(at least two girls)
Solution :
Let's represent a boy with B and a girl with G
Mr. and Mrs. Romero are expecting triplets.
The possibility of having triplet is
BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG
Total outcome = 8
1) P(at least one boy and one girl)
Favorable outcome = BBG, BGB, BGG, GBB, GBG, GGB=6
2) P(at least one boy and one girl)
Favorable outcome = BBG, BGB, GBB=3
3) P(at least two girls)
Favorable outcome = BGG, GBG, GGB, GGG=4