The random variable X takes on the values of 2, 5, n, and 15. The probability distribution of X is shown in the following table
2 answers:
The question is missing some parts. Here is the complete question.
The random variable X takes on the values of 2, 5, n and 15. The probability distribution of X is shown in the table below.
The expected value of X is 9.1. What is the value of n?
a) 8
b) 8.52
c) 10
d) 12
e) 14.4
Answer: d) 12
Step-by-step explanation: In a probability distribution, <u>Expected</u> <u>Value</u> is the average (or mean) value a distribution can assume.
The Expected Value, E(X), can be determine by:
in which
x is how many times an event happens
P(x) is the probability of an event happening
The table below n is x and expected value is 9.1, then:
n = 12
<u>Value of </u><u>n</u><u> in this probability distribution is </u><u>12</u>.
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Answer:
The length of legs lm, mn, and lk is 32 while that of kn is 36.
Step-by-step explanation:
The diagram is attached in the answer.
As both the angles are equal thus the two forms isosceles triangles. This is true because the converse of base angle theorem is applicable here. The theorem clearly states that when a trapezoid is divided by the diagonal, it forms two set of angles where m<1=m<2 and m<lmk=m<nmk
This leads the two set of legs such as
Or this could be written as
Now the remaining two sides are given as
as this form an isosceles triangle so
Similarly
Or
Now the perimeter is given as
Here perimeter is given as 132 so this gives:
So the four legs are of length as given below:
So the length of legs lm, mn, and lk is 32 while that of kn is 36.
