(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)):
Answer: 31500 to 38500
Step-by-step explanation:
Lets find lower limit of guess
35000 - ( 35000 * 10% )
= 31500
Upper limit of guess
35000 + ( 35000 * 10% )
= 38500
So your guess can be anything between these two values.
Answer:
otterbox costs $95; beats costs $210
Step-by-step explanation:
x = otterbox y = beats
4x + 2y = 800 y = 2x + 20
4x + 2(2x + 20) = 800
4x + 4x +40 = 800
8x + 40 = 800
8x = 800 - 40
8x = 760
x = 760 / 8
x = 95 Otterbox costs $95 each
4x + 2y = 800
4(95) + 2y = 800
380 + 2y = 800
2y = 800 - 380
2y = 420
y = 420 / 2
y = 210 Beats costs $210
4(95) + 2(210) = 800
380 + 420 = 800
Answer:
Variance is the squared deviation and deviation is the difference of observed value from other values
Step-by-step explanation:
Variance is the squared deviation and deviation is the difference of observed value from other values
Where, 
Answer:
B) 47
Step-by-step explanation:
Given:
N = linear distance between the armpits in cm
2.5P = 2N
or
P = (2 ÷ 2.5)N
or
P = 0.8N ................(1)
also,
N = P + 10,
substituting the value of P from (1) we get
N = 0.8N + 10
or
N - 0.8N = 10
or
0.2N = 10
or
N = 10 ÷ 0.2
or
N = 50
Hence
the value is closest to option (B) 47
