Answer:
Step-by-step explanation:
in x+3y=4
x = 3y +4 y = -1/3x + 4/3
in -x+y=4
x = y−4 y = x+4
Answer:
The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For the population, we have that:
Mean = 0.5
Standard deviaiton = 0.289
Sample of 12
By the Central Limit Theorem
Mean = 0.5
Standard deviation 
The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.
This problem lends itself to the binomial probability approach.
Focus on students who are not secretly robots.
Then P(student is not a robot) = 2/6, or 1/3. Here n=6 and x=2.
Then the desired probability is binompdf(6,1/3, 2), which, by calculator, comes out to 0.329.
Answer:
change in saving account balance is -$149.98
Step-by-step explanation:
The computation of the change in saving account balance is as follows;
= Total amount changed in the saving account balance ÷ number of monthly payments
= -$1,799.76 ÷ 12 monthly payments
= -$149.98
Hence, the change in saving account balance is -$149.98
The same is relevant