7.3 is the answer i believe
Answer:
1/3 + 2/4 + 1/2 = 4
3
= 11
3
≅ 1.3333333
Step-by-step explanation:
Given a table <span>representing
the probability distribution of the number of times the John Jay wifi
network is slow during a week. We call the random variable x.
Part A:
The total value of p(x) = 1.
Thus, </span><span>
.08 + .17 + .21 + k + .21 + k + .13 = 1
0.8 + 2k = 1
2k = 1 - 0.8 = 0.2
k = 0.2 / 2 = 0.1
Therefore,
the value of k is 0.1Part B:
The expected value of x is given by
Therefore,
the expected value of x is 3.01Part C:
</span><span>The expected value of
is given by
Therefore,
the expected value of is 12.45</span>
Part D:
The variance of x is given by
Therefore,
the variance of x is 3.39.
Part E
<span>The standard deviation of x is given by
Therefore,
the standard deviation of x is 1.84.
Part F:
The variance of ax, where a is a constant is given by
Thus, the variance of 3x is given by
Therefore,
the variance of 3x is 30.51.
Part G:
The probability that the network has no more that 4 slow times in one week is given by
Since, the </span>network slowness is independent from week to week, the <span>probability that if we look at 5 separate weeks, the network has no more than 4 slow times in any of those weeks is given by
Therefore, </span>
the probability that if we look at 5 separate weeks, the network has no more than 4 slow times in any of those weeks is 0.27Part H:
The variance of x^2 is given by
Thus,
Therefore,
the <span>
variance of the random variable is 141.37</span>
Answer:
Senator = 125,100
Congressman =101,900
Step-by-step explanation:
Congressman = x
Senator = x+23,200
x+x+23200=227000
x+x=227000-23200
2x=203800
x=203800/2
x=101900
Congressman = x = 101900
Senator = x+23200=101900+23200 = 125100
Answer:
56
Step-by-step explanation:
Add 9+14=23
Then times 8 by itself to get 64
Then Add 15+64
Subtract 23