Question

Suppose that there are 100 MBA students in the first-year class. Of these students, 20 of them have two years of work experience, 30 have three years of work experience, 15 have four years of work experience, and 35 have five or more years of work experience. Suppose that a first-year MBA student is selected at random. (a) What is the probability that this student has at least four years of work experience

Answer 1

Answer:

(a)0.5

(b)0.625

Step-by-step explanation:

Out of 100 MBA students

• 20 of them have two years of work experience,
• 30 have three years of work experience,
• 15 have four years of work experience, and
• 35 have five or more years of work experience.

Total Sample Space, n(S)=100

(a)Let event A be the event  that an MBA student has at least four years of work experience.

n(A)=15+35=50

Therefore:

$P(A)=\dfrac{n(A)}{n(S)} =\dfrac{50}{100}=0.5$

The probability that this student has at least four years of work experience is 0.5.

(b)Conditional probability that given that a student has at least three years of work experience,this student has at least four years of work experience.

P(at least 4 years|the student has at least three years of experience)

$=\dfrac{50/100}{80/100} =\dfrac{5}{8}=0.625$