Answer:
0.1274
Step-by-step explanation:
Let X be the random variable that measures the number of children who get their own coat.
Then, the expected value of X is
E[X] = 1P(X=1) + 2P(X=2)+3P(X=3)+...+10P(X=10)
The probability that a child gets her or his coat is
P(X=1) = 1/10
To compute the probability that 2 children get their own coat, we notice that there are 10! possible permutations of coats. The two children can get their coat in only one way, the other 8 coats can be arranged in 8! different positions, so the probability that 2 children get their own coat is
P(X=2) = 8!/10! = 1/(10*9) and
2P(X=2) = 2/(10*9)
Similarly, we can see that the probability that 3 children get their own coat is
P(X=3) = 7!/10! = 1/(10*9*8) and
3P(X=3) = 3/(10*9*8*7)
and the expected value of X would be
E[X] = 1/10 + 2/(10*9) + 3/(10*9*8)+...+10/10! = 0.1274
Y > 5x + 5 . . . (1)y > -1/2x + 1 . . . (2)
Part A: The graph of the system are two straight dotted lines with the first line passing through points (-1, 0) and (0, 5) with the region above the line shaded and the second line passing through (0, 1) and (2, 0) with the region above the line shaded. The two lines intersect at point (-8/11, 15/11).
Part B: The point (-2, 5) is included in the solution area.5 > 5(-2) + 5 and 5 > -1/2(2) + 15 > -10 + 5 and 5 > -1 + 15 > -5 and 5 > 0
hope i helped
Answer:
40
Step-by-step explanation:
5*4*2
Answer:
C.) go to a baseball game than watch it on television
Step-by-step explanation:
Only 7.9% of the 1200 people would rather watch a game on television than go to a game.
- <em>That means 92% of the group would rather go to a game, instead of watching it on television.</em>
Your answer should be letter C, most people would rather go to a baseball game than watch it on television