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:
Step-by-step explanation:
By drawing the point (-3,-1) in the coordinate plane we find the graph shown below. Since there are 10 points between points A and B, we need to start at point A and then we have to move 11 units either to the right, to the left, up, or down
.
1. MOVING TO THE RIGHT:
From point A, move 11 units horizontally to the right to come to point B:
(-3+11, -1) = (8, -1)
2. MOVING TO THE LEFT:
From point A, move 11 units horizontally to the left to come to point B:
(-3-11, -1) = (-14, -1)
3. MOVING UPWARD:
From point A, move 11 units vertically upward to come to point B:
(-3, -1+11) = (-3, 10)
4. MOVING DOWNWARD:
From point A, move 11 units vertically downward to come to point B:
(-3, -1-11) = (-3, -12)
So this are the basic movements you can get to find point B. You also can move diagonally upwards or downwards in whose case you would find other four points. The graph below shows a red point which is A, and the other points are in black color and represent B.
Answer:
7/8 or in decimal form .87
Step-by-step explanation: