Answer:
a) No
b) 42%
c) 8%
d) X 0 1 2
P(X) 42% 50% 8%
e) 0.62
Step-by-step explanation:
a) No, the two games are not independent because the the probability you win the second game is dependent on the probability that you win or lose the second game.
b) P(lose first game) = 1 - P(win first game) = 1 - 0.4 = 0.6
P(lose second game) = 1 - P(win second game) = 1 - 0.3 = 0.7
P(lose both games) = P(lose first game) × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%
c) P(win first game) = 0.4
P(win second game) = 0.2
P(win both games) = P(win first game) × P(win second game) = 0.4 × 0.2 = 0.08 = 8%
d) X 0 1 2
P(X) 42% 50% 8%
P(X = 0) = P(lose both games) = P(lose first game) × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%
P(X = 1) = [ P(lose first game) × P(win second game)] + [ P(win first game) × P(lose second game)] = ( 0.6 × 0.3) + (0.4 × 0.8) = 0.18 + 0.32 = 0.5 = 50%
e) The expected value 
f) Variance 
Standard deviation 
Answer is C because they are next to each other in 180 degree angles or 90 degrees angles
I think its A because the amount for one orange is .42
Answer:
28 centimeters.
Step-by-step explanation:
Let w be width of desk.
We have been given that the bases of the trapezoid are 26.5 and 30 centimeters long. The area of the desk is 791 square centimeters long.
Since the area of trapezoid is half the sum of parallel sides times its height.
, where
h= Height of trapezoid,
a and b= Length of parallel sides of trapezoid.
We have been given that the height of the trapezoid is the width of the desk.
Upon substituting our given vales in above formula we will get,




Therefore, the width of trapezoid is 28 centimeters.