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). <table><thead><tr class="firstRow"><th style="text-align: center;"> </th><th style="text-align: center;">Nursing majors</th><th style="text-align: center;">Non-nursing majors</th><th style="text-align: center;">Total</th></tr></thead><tbody><tr><td style="text-align: center;">Males</td><td style="text-align: center;">98</td><td style="text-align: center;">1016</td><td style="text-align: center;">1114</td></tr><tr><td style="text-align: center;">Females</td><td style="text-align: center;">600</td><td style="text-align: center;">1729</td><td style="text-align: center;">2329</td></tr><tr><td style="text-align: center;">Total</td><td style="text-align: center;">696</td><td style="text-align: center;">2745</td><td style="text-align: center;">3443</td></tr></tbody></table>(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 exclusive? Explain. A. Yes, because one can't be male and a nursing major at the same time. B. Yes, because there are 98 males majoring in nursing C. No, because there are 98 males majoring in nursing D. No, because one cant be male and a nursing mayor at the same time.

SOLUTION : c. P( Not female or Nursing majors)= P(Male or Nursing majors) = P(Male) + P(nursing majors) - P(both)= 1114/3443 + 698/3443 - 98/3443= (1114 + 698 - 98) / 3443= 1714/3443= 0.498 (ANSWER). d. Option C : No, since there are 98 males in Nursing majors.(ANSWER).

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In: Math

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

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	98	1016	1114
Females	600	1729	2329
Total	696	2745	3443

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 exclusive? Explain.

A. Yes, because one can't be male and a nursing major at the same time.

B. Yes, because there are 98 males majoring in nursing

C. No, because there are 98 males majoring in nursing

D. No, because one cant be male and a nursing mayor at the same time.

Solutions

Expert Solution

SOLUTION :

P( Not female or Nursing majors)

= P(Male or Nursing majors)

= P(Male) + P(nursing majors) - P(both)

= 1114/3443 + 698/3443 - 98/3443

= (1114 + 698 - 98) / 3443

= 1714/3443

= 0.498 (ANSWER).

Option C : No, since there are 98 males in Nursing majors.(ANSWER).

milcah answered 2 years ago

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