Question

Out of 439 applicants for a job 269 have over 10 years of experience and 111 have over 10 years of experience and have graduate degree. Step 1 of 2: what is the probability that a randomly chosen applicant has a graduate degree given that they have over 10 years of experience enter a fraction or Round your answer to four decimal places if necessary

Answer 1

Answer: 0.6687

Explanation:

Now, we are asked for P(over 10 years|graduate degree)

. We already know that P(over 10 years and graduate degree)=111439

, so we need to calculate only P(graduate degree)

. There are 166

applicants who have graduate degrees, so the probability of choosing an applicant with a graduate degree is 166439

. Now, we calculate the conditional probability as follows.

P(over 10 years|graduate degree)=P(over 10 years and graduate degree)P(graduate degree)=111439÷166439=111439⋅439166=111166≈0.6687

Answer 2

Given:

Out of 439 applicants:

`1) 269 have 10 years of experience.

2) 111 have over 10 years of experience and a graduate degree.

To find:

The probability that a randomly chosen applicant has a graduate degree given that they have over 10 years of experience.

Step-by-step solution:

The Total amount of people who have 10+ year of expierence:

= 269 + 111

= 380

The Total amount of people who have 10 years of experience and a graduate degree:

= 111

The probability that a randomly chosen applicant has a graduate degree given that they have over 10 years of experience:

`\begin{gathered} P=(111)/(380) \\ \\ P=0.29 \end{gathered}`

Thus we can say that the probability of occurrence of such an event is equal to 0.29