48) University degree requirements typically are different for Bachelor of Scien

Question

48) University degree requirements typically are different for Bachelor of Science degrees and Bachelor of Arts degrees. Some students get a Bachelor of Arts and Science degree, which requires meeting graduation criteria for both degrees. A student advisor needs to know the probability a newly admitted student is interested in such a program, so that the student can be properly advised. A study of previous years finds that the probability a student gets a Bachelor of Science degree is P(Science)=0.3 and the probability a student gets a Bachelor of Arts degree is P(Arts)=0.6 . The study also shows that the probability a student gets no degree is P(no)=0.2 .

A - The probability a student gets a Bachelor of Arts and Science degree is:

a) 0.3.

b) 0.6.

c) 0.1.

d) 0.2.

B - The probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is:

a) 0.9.

b) 0.3.

c) 0.6.

d) 0.8.

C - The probability a student gets only a Bachelor of Arts degree is:

a) 0.1.

b) 0.5.

c) 0.3.

d) 0.6.

D - The probability a student gets a Bachelor of Arts and Science degree is:

a) 0.5.

b) 0.1.

c) 0.3.

d) 0.2.

E - If getting a Bachelor of Science degree is independent of getting a Bachelor of Arts degree, the probability of getting a Bachelor of Arts and Science degree is:

a) None of the answer options are correct.

b) 0.18.

c) 0.1.

d) 0.2.

Explanation / Answer

A) P(arts or science)=1-0.2=0.8

The probability a student gets a Bachelor of Arts and Science degree is=P(Arts)+P(scince)-P(arts or science)

=0.3+0.6-0.8 =0.1

b)probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is =0.1

e)

the probability of getting a Bachelor of Arts and Science degree is =0.3*0.6 =0.18

=0.8

c)

The probability a student gets only a Bachelor of Arts degree is =P(arts)-P(arts and science)=0.6-0.1=0.5

d)

probability a student gets a Bachelor of Arts and Science degree is =

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