What is the solution to the system of equations graphed below?
1 answer:
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Answer:
0.0671% probability that at least 5 of them are born either in April or in October
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they were born in April or October, or they were not. The probabilty of a student being born in April or October is independent of other students. 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.
Probability of a student being born in April or October
April has 30 days, October 31
The year has 365 days. So
A graduate class consists of six students.
This means that
What is the probability that at least 5 of them are born either in April or in October?
In which
0.0671% probability that at least 5 of them are born either in April or in October