Home / Expert Answers / Electrical Engineering / need-help-pls-i-will-thumbs-up-nbsp-1-set-theury-asd-arwems-of-predabihty-25-pts-a-topts-pa676

(Solved): need help pls i will thumbs up  1. (Set Theury asd Arwems of Predabihty) (25 pts) (a) (Topts ...



1. (Set Theury asd Arwems of Predabihty) (25 pts)
(a) (Topts) Let events \( A_{1} \) and \( A_{2} \) watisfy \( P\left[A_{1}

need help pls i will thumbs up 

1. (Set Theury asd Arwems of Predabihty) (25 pts) (a) (Topts) Let events \( A_{1} \) and \( A_{2} \) watisfy \( P\left[A_{1} \mid=1\right. \) and \( P\left|A_{2}\right|=1 \). Show that \( P\left(A_{1} \cap A_{2} \mid=1\right. \). Therruchums For this quetion you are not allowed to use Venn diapratms. (b) \( (S p t s) \) Suppose that \( P\left[A_{1} \cap A_{2}\right)=1 \), Show that \[ P\left[A_{2}\right] \geqslant \frac{1}{2} \] Irsetracthons: You are allowed to use any tools at your disposial. (c) (Spts) Suppore that \( P\left[A_{1}\right]=P\left[A_{2}\right]=\frac{1}{2} \), and \( A_{1} \) and \( A_{2} \) are independent, Find \( P\left[A_{1} \cup A_{2}\right] \). Instructions: Show all the steps. (d) (5 pts) Here need to justify by clearly shourng your steps. In an experiment, \( A \) and \( B \) are independent events and we know that \( P[A \cap B]=\frac{1}{3} \) and \( P[A]=\frac{1}{2} \). Are \( A \) and \( B^{\prime} \) mutually exclusive?


We have an Answer from Expert

View Expert Answer

Expert Answer


We have an Answer from Expert

Buy This Answer $5

Place Order

We Provide Services Across The Globe