EQuestion Help The table below shows the number of male and female students enro

Question

EQuestion Help The table below shows the number of male and female students enrolled in nursing at a university for a certain semester. A student is selected at random. Complete parts (a) through (d) Nursing majors Non-nursing majors Total Males Females Total 98 600 698 1013 1721 2734 2321 3432 (a) Find the probability that the student is male or a nursing major P(being male or being nursing major) Round to the nearest thousandth as needed.) b) Find the probability that the student is female or not a nursing major P(being female or not being a nursing major) (Round to the nearest thousandth as needed.) (c) Find the probability that the student is not female or a nursing major P(not being female or being a nursing major) Round to the nearest thousandth as needed.) (d) Are the events being male" and "being a nursing major" mutually exdlusive? Explain. A. Yes, because there are 98 males majoring in nursing lick to select vour answerís)

Explanation / Answer

P(Being a Male or being Nursing Major) = P(Being male) + P(Being Nursing Major) - P(Being Male and Being nursing Major)

P(Being male) = Number of Male students / Total number of students = 1111/3432

P(Being Nursing Major) = Number of Nursing Major students / Total number of students = 698/3432

P(Being Male and Being nursing Major) = Number of Nursing Major and Male students / Total number of students = 98/3432

P(Being a Male or being Nursing Major) = P(Being male) + P(Being Nursing Major) - P(Being Male and Being nursing Major) = 1111/3432 + 698/3432 - 98/3432 = 1711/3432

P(Being a Female or not being Nursing Major) = P(Being female) + P(Not Being Nursing Major) - P(Being Female and Not Being nursing Major)

P(Being female) = Number of female students / Total number of students = 2321/3432

P(Not Being Nursing Major) = Number of Not Nursing Major students / Total number of students = 2734/3432

P(Being Female and Not Being nursing Major) = Number of Not Nursing Major and Female students / Total number of students = 1721/3432

P(Being a Female or not being Nursing Major) = P(Being female) + P(Not Being Nursing Major) - P(Being female and Not Being nursing Major) = 2321/3432 + 2734/3432 - 1721/3432 = 3334/3432

P(Not Being a Female or being Nursing Major) = P(Not Being female) + P(Being Nursing Major) - P(Not Being Female and Being nursing Major)

P(Not Being female) = Number of Not being female students / Total number of students = 1111/3432

P(Being Nursing Major) = Number of Nursing Major students / Total number of students = 698/3432

P(Not Being Female and Being nursing Major) = Number of Nursing Major and Not Female students / Total number of students = 98/3432

P(Being Not Female or being Nursing Major) = P(Being Not female) + P(Being Nursing Major) - P(Not Being female and Being nursing Major) = 1111/3432 + 698/3432 - 98/3432 = 1711/3432

It's same as the (a), Not Female means Male.

(d)Are the events 'being male' and being a nursing major' Mutually excelusive.

No. As the being male and being nursing major event exists. Becasue there are 98 males majoring in nursing.  

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.