Answer: 1.22 years
Step-by-step explanation: see photos attached.
Answer:
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
From the central limit theorem we know that the distribution for the sample mean is given by:
Part a
The mean is
Part b
And the deviation:
Step-by-step explanation:
Assuming this complete info: Suppose a random variable xx is normally distributed with μ=17 and σ=5.6. According to the Central Limit Theorem, for samples of size 13:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
From the central limit theorem we know that the distribution for the sample mean is given by:
Part a
The mean is
Part b
And the deviation:
Answer:
g(1) = -0.015
Step-by-step explanation:
We are given he following in the question:
For a = 1 and b = 6, we have,
We have to find the the derivative of f(x) with respect to x.
Thus, g(1) = -0.015
Answer:
32 meters
Step-by-step explanation:
If the trees shadow is half the height of the buildings shadow, then the tree is half the size of the building
Answer:
SSS theorem
Step-by-step explanation:
SSS theorem