Answer:
Step-by-step explanation:
Hello!
The definition of the Central Limi Theorem states that:
Be a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.
As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.
X[bar]≈N(μ;σ²/n)
If the variable of interest is X: the number of accidents per week at a hazardous intersection.
There is no information about the distribution of this variable, but a sample of n= 52 weeks was taken, and since the sample is large enough you can approximate the distribution of the sample mean to normal. With population mean μ= 2.2 and standard deviation σ/√n= 1.1/√52= 0.15
I hope it helps!
Answer:
Step-by-step explanation:
1
Answer:
93 ft
Step-by-step explanation:
the area of a triangle is :
A = (b*h)/2 where b is the base and h the height(here t)
4092 = (88*t)/2
2*4092 = 88*t
t= (4092*2)/88 = 93 ft
A six-sided number cube is tossed and a coin is flipped.The sample space is {1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}.Wha
aleksandr82 [10.1K]
Since you're already given the sample space, we can simply count how many outcomes satisfy the request, and divide that number by the cardinality of the sample space.
In other words, we're using the formula
So, the outcomes with a number higher than two are
3H, 4H, 5H, 6H, 3T, 4T, 5T, 6T
out of these outcomes, we can filter those with heads flipped:
3H, 4H, 5H, 6H
So, there are 4 cases out of 12, and the probability is thus
The rule that describes this transformation is (x - 3, y + 1)
Step-by-step explanation:
Step 1:
The points of the trapezoid are
M; (-3, -1),
N; (-4, 3),
P; (1, 3), and
Q; (-1, -1).
Step 2:
To translate the points to 3 units on the left, we subtract the x coordinate by 3 because it is moved to the left. So x becomes x - 3.
In order to translate the points to 1 unit up, we add 1 to the y coordinate as it is moved in the positive direction of y. So y becomes y + 1.
Combining these we get (x, y) becomes (x - 3, y + 1).
