Answer:
A) 3.5
B) 1.6202
Step-by-step explanation:
In binomial distribution,
E(X) = np and Var(X) = npq while
SD (X) = √(npq)
Where n is number of cards drawn
p is probability of getting one particular shape
q = 1-p
So from the question, n = 14
p = 13/52 = 1/4
q = 1-(1/4) = 3/4
So;
A) E(x) = np = 14 x 1/4 = 3.5
B) SD (X) = √(npq) = √(14 x 1/4 x 3/4) = √(42/16) = √2.625 = 1.6202
I believe the correct answers are:
<span>UV = 14 ft and m∠TUV = 45°</span>
<span>ST = 20 ft, UV = 14 ft, and m∠UST = 98°
Or, in other words, Options A and D.
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The volume for 3 boxes of detergent is 864 inches
Volume= length X width X hight
V=12X8X3
V=288
V=864 (288 times 3 for 3 boxes)
Answer:
Step-by-step explanation:
Given 
a)
we know that 
therefore 
on integrating we get
c=(1/6640)
b)
on doing the integration we get
=0.37349
c)
marginal density of X is
on doing integration we get
f(x)=(4x+3)/3320 ; 0<x<40
marginal density of Y is
on doing integration we get
d)
solve the above integration we get the answer
e)
solve the above integration we get the answer
f)
Two variables are said to be independent if there jointprobability density function is equal to the product of theirmarginal density functions.
we know f(x,y)
In the (c) bit we got f(x) and f(y)
f(x,y)cramster-equation-2006112927536330036287f(x).f(y)
therefore X and Y are not independent