probability they are all males is 0.041
Step-by-step explanation:
Here we have , 55% of college freshmen are women. If you pick 4 freshmen at random . We need to find What's the probability they are all males . Let's find out:
Probability to have women is 55 % i.e. 0.55 so for men is :
⇒ [tex]1-0.55[/tex]
⇒ [tex]0.45[/tex]
Now , 4 persons are randomly chosen and we need to find probability to have all 4 males that will be :
⇒ [tex]0.45(0.45)(0.45)(0.45)[/tex]
⇒ [tex]0.45^4[/tex]
⇒ [tex]0.041[/tex]
Therefore , probability they are all males is 0.041
