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HEEEEELPPPPP PLEASEEEEEE The table describes the types of job openings available in a company.

What is the probability that experience is needed for a randomly selected job opening, given that it is for part-time work?



Write the probability as a percent. Round to the nearest tenth if needed.

HEEEEELPPPPP PLEASEEEEEE The table describes the types of job openings available in a company What is the probability that experience is needed for a randomly s class=

Respuesta :

TNSKermit

For all positions: 24% for part time that needs experience

8% full time needs experience

32% part time need experience

36% full time no experience needed

kinda need a little bit more details for statistics.

JeanaShupp

Answer: 42.9%

Step-by-step explanation:

From the given table , the number of part-time jobs =6+8 = 14

Total jobs = 6+8+9+2=25

Let A be the event of selecting a part time job , then

[tex]P(A)=\frac{14}{25}[/tex]

Let B be the event of selecting a job where experience is needed.

The number of part time job openings where experience is needed  = [tex]A\cap B=6[/tex]

Then, [tex]P(A\cap B)=\frac{6}{25}[/tex]

Now, the probability that experience is needed for a randomly selected job opening, given that it is for part-time work is given by :-

[tex]P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\=\dfrac{\dfrac{6}{25}}{\dfrac{14}{25}}\\\\\\=\dfrac{6}{14}=0.428571428571[/tex]

In percent, [tex]P(B|A)=0.428571428571\times100=42.8571428571\%\approx42.9\%[/tex]