Answer:
Step-by-step explanation:
Given is the probability distribution of a random variable X
X 4 5 6 7 Total
P 0.2 0.4 0.3 0.1 1
x*p 0.8 2 1.8 0.7 5.3
x^2*p 3.2 10 10.8 4.9 28.9
a) E(X) = Mean of X = sum of xp = 5.3

Std dev = square root of variance = 0.9
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b) For sample mean we have
Mean = 5.3
Variance = var(x)/n = 
c) 
Answer:
Step-by-step explanation:
According to the graph, the amount of gasoline after 16 hours is 0 gallons. ⇒ Jet has to land to refuel after 15 hours of flying.
Answer:

Step-by-step explanation:
We know that for any two function f(x) and g(x) ,

Given functions :
and 
Then, 

At x= 6 , we get

The , The expression is equivalent to 
When we further simplify it , we get 
This is the concept of algebra, given that:
power is given by:
p=w/t
and
work is given by:
w=fd
then substituting the formula for work in our top formula we get:
p=(fd)/t
Therefor we conclude that displacement d is directly proportional to power
Answer:
There is sufficient evidence to support the claim that the mean temperature is different from 45 degrees
Step-by-step explanation:
Given : Claim : The mean temperature of the refrigerators is different from 45 degrees
To Find :Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.
Solution:
Claim : The mean temperature of the refrigerators is different from 45 degrees
So, Null hypothesis : 
Alternate hypothesis : 
We are given that the conclusion is to reject the null hypothesis.
So, we can say that the claim is true that mean temperature is different from 45 degrees.
There is sufficient evidence to support the claim that the mean temperature is different from 45 degrees