Answer:
The sum of the probabilities is greater than 100%; and the distribution is too uniform to be a normal distribution.
Step-by-step explanation:
The sum of the probabilities of a distribution should be 100%. When you add the probabilities of this distribution together, you have
22+24+21+26+28 = 46+21+26+28 = 67+26+28 = 93+28 = 121
This is more than 100%, which is a flaw with the results.
A normal distribution is a bell-shaped distribution. Graphing the probabilities for this distribution, we would have a bar up to 22; a bar to 24; a bar to 21; a bar to 26; and bar to 28.
The bars would not create a bell-shaped curve; thus this is not a normal distribution.
Step-by-step explanation:
(9-4)/(5+7)= 5/12
y - 4 = 5/12(x + 7)
y - 48/12 = (5/12)x + 35/12
y = (5/12)x + 83/12
Answer:
TU=4
Step-by-step explanation:
WU cuts the triangle in half (hint- angleTUW=90°)
so VU=TU
therefore, TU=4
Area = πr²
50 = πr²
r = √50/π
so diameter = 2√50/π
which is = 7.98m to 3sf
Answer:
The z-score corresponding to an observed value of x of 2 is 0.215.
Step-by-step explanation:
We are given that a variable x has the possible observations shown below;
Possible observations of X: -3, -1, 0, 1, 1, 2, 4, 4, 5.
Firstly, we will find the mean and the standard deviation of X, i.e;
Mean of X, (
) =
=
=
= 1.44
Standard deviation of X, (
) =
=
= 2.603
Now, the z-score corresponding to an observed value of x of 2 is given by;
z-score =
=
= <u>0.215.</u>