Respuesta :
Answer:
Step 1
[tex]P = 0.4239[/tex]
Step 2
[tex]P = 0.624[/tex]
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that:
There are 400 applicants for a job
184 are male
78 are male and have a graduate degree.
Step 1 of 2: What is the probability that a randomly chosen applicant has a graduate degree, given that they are male? Express your answer as a fraction or a decimal rounded to four decimal places.
Desired outcomes:
Number of male applicants with a graduate degree, which is 78
Total outcomes:
Number of male applicants, which is 184
Probability:
[tex]P = \frac{78}{184} = 0.4239[/tex]
Step 2 of 2: If 125 of the applicants have graduate degrees, what is the probability that a randomly chosen applicant is male, given that the applicant has a graduate degree? Express your answer as a fraction or a decimal rounded to four decimal places.
Desired outcomes:
Number of male applicants with a graduate degree, which is 78
Total outcomes:
Number of applicants with graduate degrees, which is 115
Probability:
[tex]P = \frac{78}{125} = 0.624[/tex]
