PLEASE HELP WILL GIVE OUT BRAINLEYST MATHH PEOPLE HELP
1 answer:
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Answer:
a) Let X the random variable of interest, on this case we know that:
This random variable represent that two people have the same birthday in just one classroom
b) We can find first the probability that one or more pairs of people share a birthday in ONE class. And we can do this:
And we can find the individual probability:
And then:
And since we want the probability in the 3 classes we can assume independence and we got:
So then the probability that one or more pairs of people share a birthday in your three classes is approximately 0.9992
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
Part a
Let X the random variable of interest, on this case we know that:
This random variable represent that two people have the same birthday in just one classroom
Part b
We can find first the probability that one or more pairs of people share a birthday in ONE class. And we can do this:
And we can find the individual probability:
And then:
And since we want the probability in the 3 classes we can assume independence and we got:
So then the probability that one or more pairs of people share a birthday in your three classes is approximately 0.9992
Answer:
11
Step-by-step explanation:
for this question we can look at the whole answer for the square root of 120 which equals 10.9544511501
now looking at our answer (10.9544511501) we want to find the nearest WHOLE NUMBER. in the current answer the whole number is 10, followed by many decimals.
10.9544511501
but to find the nearest whole number we have to round the place value BEFORE our whole number. (in this case the 9)
10.9544511501
we can now look at this highlighted section of our equation and think... is 10.9 closer to 11 or 10. well logically, to get to 11 from 10.9 we only have to go up by 0.1, rather than to get to 10, where you have to subtract 0.9.
10.9 + 0.1 = 11
10.9 - 0.9 = 10
But to make it easier, remember the rule:
the place value one place to the RIGHT of what you're rounding to, is what determines the new number. (in this case the .9)
and as any number 5 or above rounds up, we can say that our new number, rounded to the nearest whole number equals 11
10.9 rounded to the nearest whole number = 11