Question

The table below shows the number of male and femake 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 Total majors 1018 Males Females Total 97 600 697 1721 2739 1115 2321 3436 (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 ) Click to select your answer(s)

Answer 1

$(a)~P(being~male~or~being~nursing~major)=P(being~male)+P(being~a~nursing~major)\\ -P(being~male~and~being~a~nursing~major)=1115/3436+697/3436\\-97/3436=0.499\\ (b)~P(being~female~or~not~being~a~nursing~major)\\ =P(being~female)+P(not~being~a~nursing~major) -P(being~female~and~not~being~a~nursing~major)\\ =2321/3436+2739/3436-1721/3436=0.972\\ (c)~P(not~being~female~or~being~a~nursing~major)\\ =P(not~being~female)+P(not~being~a~nursing~major) -P(not~being~female~and~not~being~a~nursing~major)\\ =1115/3436+2739/3436-1018/3436=0.825\\ (d)~No,~because~there~are~97~males~majoring~in~nursing.$

Answer 2

SOLUTION :

a.

P (Male or Nursing major) 

= P(Male) + P(nursing major) - P(Male and Nursing major)

= 1115/3436 + 697/3436 - 97/3436

= (1115+697 - 97)/3436

= 0.499 (ANSWER)

b.

P(Female or Non-nursing major)

= P(Female) + P(Non-nursing major) - P(Female and Non-nursing major)

= 2321/3436 + 2739/3436 - 1721/3439

= (2321+ 2739 - 1721)/3436

= 0.972 (ANSWER).

c.

P(Not-female or Nursing major)

= P(Not-female) + P(Nursing major) - P(Not-female and Nursing major)

= 1115/3436 + 697/3436 - 97/3436

= (1115 + 698 - 98)/3436

= 0.499 (ANSWER).

d.

C . No, because there are 97 males doing Nursing major. (ANSWER).