Answer:
1. p*(1-p)
2. n*p*(1-p)
3. p*(1-p)
4. 0
5. p^2*(1-p)^2
6. 57/64
Step-by-step explanation:
1. Let Ik denote the reward (possibly 0) given at time k, for k∈{1,2,…,n}. Find E[Ik].
E[Ik]= p*(1-p)
2. Using the answer to part 1, find E[R].
E[R]= n*p*(1-p)
The variance calculation is more involved because the random variables I1,I2,…,In are not independent. We begin by computing the following values.
3. If k∈{1,2,…,n}, then
E[I2k]= p*(1-p)
4. If k∈{1,2,…,n−1}, then
E[IkIk+1]= 0
5. If k≥1, ℓ≥2, and k+ℓ≤n, then
E[IkIk+ℓ]= p^2*(1-p)^2
6. Using the results above, calculate the numerical value of var(R) assuming that p=3/4, n=10.
var(R)= 57/64
Answer:3/4
Step-by-step explanation:60 minutes divided by 4 is 15. 3 15 minute increments is 45. 45 minutes is 3 /4 of an hour.
Answer:
dufenschmertz evil incorporated...
Step-by-step explanation:
after hours ;)
Median: 29
Range: 25
IQR: 14.5
Explanations:
**Median:**
(To find the median, we need to first order all the elements)
Ordered —> 15, 18, 18, 20, 23, 28, 30, 33, 33, 34, 38, 40
(Since there are an even number of elements, we need to add the two elements in the middle and divide by 2)
Median = (28 + 30)/2 = 58/2 = 29
**Range:**
(To find the range, you just have the subtract the smallest one from the largest)
Range = 40 - 15 = 25
**IQR:**
First half of elements —> 15, 18, 18, 20, 23, 28
Second half of elements —> 30, 33, 33, 34, 38, 40
Q1 (Quartile 1) = Median of first half = (18 + 20)/2 = 38/2 = 19
Q3 (Quartile 3) = Median of second half = (33 + 34)/2 = 67/2 = 33.5
IQR = Q3 - Q1 = 33.5 - 19 = 14.5
Ok the w to your question is to cross multiply <span>216=9m
m=24
</span>
