Answer:
a. 
b. 
c. 
d. 
e. As p approaches 1 , the standard deviation increases (that is, it approaches 0).
Step-by-step explanation:
Solving (a):


Find Mean
Mean is calculated as thus:


Convert percentage to decimal


Solving (b):
Calculate Standard Deviation (SD)
Standard deviation is calculated as thus:


Convert percentage to decimal



Solving (c):
Calculate Standard Deviation if p = 0.7
Using same formula used in (b) above




Solving (d):
Calculate Standard Deviation if p = 0.8
Using same formula used in (b) & (c) above




Solving (e):
What does the working show
In (b)
When p = 0.5
SD = 3.7125
In (c)
When p = 0.7
SD = 3.15
In (d)
When p = 0.8
SD = 2.4
Notice that as the value of p increases, the standard deviation gets closer to 0.
Answer & Step-by-step explanation:
8s - (5s + 6)= 12(20+6s)
8s - 5s - 6 = 240 + 72s
3s - 6 = 240 + 72s
-246 = 69s
s= -246/69
s = - 3 13/23
Hope this helps!!!
Answer: 10
Step-by-step explanation: A: 4×10^−3=0.004
B: 4×10^−4=0.0004
Answer:
26
Step-by-step explanation:
Subtract the mean (84) from each of the four scores, obtaining
2, -3, 3, - 2
These are the "deviations."
Next, square each of these four deviations, obtaining
(2)^2 = 4, and:
(-3)^2 = 9, and:
(3)^2 = 9, and:
(-2)^2 = 4
Then the sum of the squared deviations of the scores from the mean is 26.