Question

In: Math

The table below shows the number of male and female students enrolled in nursing at a...


The table below shows the number of male and female students enrolled in nursing at a particular university for a recent semester. (a) Find the probability that a randomly selected student is male, given that the student is a nursing major (b) Find the probability that a randomly selected student is a nursing major, given that the student is male. Non-nursing majors 1082 1633 2715 Nursing Majors 97 750 847 Total 1179 2383 3562 Males Females Total (a) Find the probability that a randomly selected student is male, given that the student is a nursing major The probability is Round to three decimal places as needed.)

The table below shows the number of male and female students enrolled in nursing at a particular university for a recent semester. 

(a) Find the probability that a randomly selected student is male, given that the student is a nursing major 

(b) Find the probability that a randomly selected student is a nursing major, given that the student is male.


Nursing MajorsNon-nursing majorsTotal
Males9710821179
Females75016332383
Total84727153562

(a) Find the probability that a randomly selected student is male, given that the student is a nursing major 

The probability is _______ .

(Round to three decimal places as needed.)

Solutions

Expert Solution

SOLUTION :


Only part (a) is visible in the question. Solution is , therefore, for part (a) only.




P(Male | Nursing majors) = 97/847 = 0.115 (ANSWER)

(We select a male from the Nursing majors space)


ALTERNATIVELY :


P(Male | Nursing majors) 

= P(Male and Nursing majors) / P(Nursing majors)

= (97/3562) / (847/3562)

= 97/847= 0.115 (ANSWER).



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