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>
(5pi/6)(180/pi) = 150 degrees or 30 degree angle in QII.
<span>sin 150 = 1/2 </span>
<span>cos 150 = -(sqrt 3)/2 </span>
<span>tan 150 = -1/sqrt 3 = -(sqrt 3)/3 </span>
<span>cot 150 = -sqrt 3 </span>
<span>sec 150 = (-2 sqrt 3)3 </span>
<span>csc 150 = 2</span>
I believe this is the answer. Please let me know if it's correct.