The table shows the results of a survey of college students. Find the probability that a student’s first class of the day is a h
umanities class, given the student is male. Round to the nearest thousandth.
Male Female
Humanities 70 80
Science 50 80
Other 60 70
A. 0.171
B. 0.467
C. 0.269
D. 0.389
Male Female
Humanities 70 80
Science 50 80
Other 60 70
A. 0.171
B. 0.467
C. 0.269
D. 0.389
2 answers:
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Answer:
And we can use the probability mass function and we got:
And replacing we got:
Step-by-step explanation:
Let X the random variable of interest "number of graduates who enroll in college", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
We want to find the following probability:
And we can use the complement rule and we got:
And we can use the probability mass function and we got:
And replacing we got: