Answer:
B
Step-by-step explanation:
The first quartile of his data is 60.
The median of his data is 82.
The first quartile Q1 is the median of the lower half of the data set. This means that about 25% of the numbers in the data set lie below Q1 and about 75% lie above Q1.
The median Q2 is the median of the data set. This means that about 50% of the numbers in the data set lie below Q2 and about 50% lie above Q2.
Between Q1 and Q2 lie exactly 25% of the numbers in the data set.
25% of 200 is exactly 50, so option B is true.
(a) If <em>f(x)</em> is to be a proper density function, then its integral over the given support must evaulate to 1:

For the integral, substitute <em>u</em> = <em>x</em> ² and d<em>u</em> = 2<em>x</em> d<em>x</em>. Then as <em>x</em> → 0, <em>u</em> → 0; as <em>x</em> → ∞, <em>u</em> → ∞:

which reduces to
<em>c</em> / 2 (0 + 1) = 1 → <em>c</em> = 2
(b) Find the probability P(1 < <em>X </em>< 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

The order is: 9.036, 9.535, and 9.982.
Answer:
(C) 9
Step by step:
11-2=9 and it’s asking for both p and q combined so no need to worry about that
12 use a calculator i did it