Answer:
0.9168
Step-by-step explanation:
From the data given:
Mean = 110
standard deviation = 5
Let consider a random sample n =49 which have a mean between 109 and 112.
The test statistics can be computed as:



= -1.4




Thus; P(109 <
< 112) = P( - 1.4 < Z < 2.8)
= P(Z < 2.8) - P( Z < -1.4)
= 0.9974 - 0.0806
= 0.9168
Answer:
Expected value =0.9
Standard deviation = 0.4359
Step-by-step explanation:
Let's use the formula to find expected value or mean.
Expected value =Σ x *P(x)
x 0 1 2
P(x) ) .15 .8 .05
So, expected value = (0)(0.15) +1(0.8)+2(0.05)
= 0 +0.8 +0.1
=0.9
Expected value =0.9
Now, let's find standard deviation
x

0
=0.1215
1
=0.008
2
=0.0605
Now, add the last column together and then take square root to find standard deviation.
Standard deviation of the distribution =
Simplify it, so standard deviation =0.4358898...
Round the answer to nearest four decimal places
Standard deviation = 0.4359
Answer:
y = 4x + 2
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer: 0.4
Step-by-step explanation:
We know that the standard deviation of the sampling distribution of mean is given by:-

Given : Standard deviation : 
Sample size : n= 25
Then, the standard deviation of the sampling distribution of mean times will be :-

Hence, the standard deviation of the sampling distribution of mean times=0.4
Answer:
A is reflected over the y axis and translated 2 units up and 2 units to the right.
Translate is the math word for slide