Question

The random variable x has the following discrete probability distribution. Complete parts a through f

Question Help O The random variable x has the following discrete probability distribution. Complete parts a through f. P(x) 622 8 0.4 0.2 9 0.2 0.1 a. List the values x may assume. DODO. (Use ascending order.) b. What value of x is most probable? c. Display the probability distribution as a graph. Choose the correct graph below. OA. OB Oc. OD 071 LUH > 102 d. Find P(x=8). P(x = 8) = (Round to one decimal place as needed.) c. Find P(x26). P/X26) (Round to one decimal place as needed.) f. Find P( x 3 ) P(x>3)= (Round to one decimal place as needed.) Click to select your answer's).

Answer 1

9. has the following Probability Given that random variable x distribution. X= 2 4 6 8 g P(X=x) 0.2 of 0.4 ool 0.2 y Represents represents probability at point(x=1) @ To list the values of x in ascending order The values that x may assume are X 2, 4, 6, 8, 9 (ascending order or increasing order) 6 What value of x is most probable? Note most probable value is that value which has the highest probability. here P(x=6)= [0.1 is the highest probability so (X=6) is the most probable value.

l To draw graph we take X-on x-axis and Ply=x) on y-axis. So DOX=x) Yt → So option of is correct 0.3 0.2 0 + 2 4 6 8 9 10 P(X=8) feom question we directly have the value of probability at point to=8 So PX = 8) = 0-1] Ang e equal to P(x>,6) means probability of t greater than the value of (x²6) PLx76) = PCX=6) + PCX = 8) + PCxE9) = 0.4 +0.1 +0.2 so P(x>3) = Probability of x more than 3 P(x>3) =P (* = 4) + (x+6) + PCX=8)+PCX=9) = 0.1 to.4 t o.1 +0.2 | P(x73) = 0.8