Hey! Can someone help me with this question please, thanks! :)
1 answer:
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Answer:
3.61% probability that both are hopelessly romantic.
34.39% probability at least one is hopelessly romantic
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are hopelessly romantic, or they are not. The probability of a person being hopelessly romantic is independent from other people. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
19% of the population of a large country is hopelessly romantic.
This means that
Two people are randomly selected
This means that
What is the probability both are hopelessly romantic?
This is P(X = 2). So
3.61% probability that both are hopelessly romantic.
What is the probability at least one is hopelessly romantic?
34.39% probability at least one is hopelessly romantic
Answer:
We can simplify everything to the power of 2:
As the two equations are equal to each other and they have common bases, their powers must be equal too. We can come up with this equation:
3x+6=4x+4
solve for x
x=2
D (last answer choice)
plug x=2 in and check and you will get 4096=4096