Solve each problem on a separate sheet of paper. Show all necessary solut Let X denotes the percentage of time out of a 40-hour workweek that a call center agent is directly serving a client by answering phone calls. Suppose that X has a probability density function defined by f(x)= 3x2 for 0 < x<1. Find the mean and variance of X. Interpret the 1. results. ad ed bluov 3 intionofthedensityfunstion given by f(x)=-x(2-x)

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Solve each problem on a separate sheet of paper. Show all necessary solutions.
Let X denotes the percentage of time out of a 40-hour workweek that a call center agent is
directly serving a client by answering phone calls. Suppose that X has a probability density
function defined by f(x)= 3x2 for 0 < xS1. Find the mean and variance of X. Interpret the
'1.
results.
od ed bluovw
3
Find the mean, variance, and standard deviation of the density functiongiven by f(x)=-
for 0<x<2 of random variable X.
x(2-x)
2.
Transcribed Image Text:What Have I Learned So Far? Solve each problem on a separate sheet of paper. Show all necessary solutions. Let X denotes the percentage of time out of a 40-hour workweek that a call center agent is directly serving a client by answering phone calls. Suppose that X has a probability density function defined by f(x)= 3x2 for 0 < xS1. Find the mean and variance of X. Interpret the '1. results. od ed bluovw 3 Find the mean, variance, and standard deviation of the density functiongiven by f(x)=- for 0<x<2 of random variable X. x(2-x) 2.
What HaveI Learned So Far?
paper.
Answer the following questions on a separate sheet of
1. Determine if each of the following situations illustrates a continuous random variable or not
a. weight of a randomly selected grade 11 student
b. number of Filipino people who will vote in the next national election
fastest speed of a randomly selected car racer in a car racing competition
d. a farmer's record of the number of mongo seeds in a sack
C.
2. Let X be a continuous variable with probability density function f(x) = cx defined for 0sxS1,
where c is constant. Find c.
3.
Let X be a continuous random variable whose probability density function is defined by
3.
f(x) = -x(2-x) for 0 <x< 2. Find P
Let X be a continuous random variable whose probability density function is f(x)=1-|x| for
-1 <x<1. The triangular distribution of f is shown below.
4.
diwsideihs ob
vilidn
0.5
-0.5
0.5
sebl pi
nl a. Explain why fis a probability density function?
b. Find P(0<x <1).
c Compute P*<1).
C.
<x<
Compute P( -<<
d.
Transcribed Image Text:What HaveI Learned So Far? paper. Answer the following questions on a separate sheet of 1. Determine if each of the following situations illustrates a continuous random variable or not a. weight of a randomly selected grade 11 student b. number of Filipino people who will vote in the next national election fastest speed of a randomly selected car racer in a car racing competition d. a farmer's record of the number of mongo seeds in a sack C. 2. Let X be a continuous variable with probability density function f(x) = cx defined for 0sxS1, where c is constant. Find c. 3. Let X be a continuous random variable whose probability density function is defined by 3. f(x) = -x(2-x) for 0 <x< 2. Find P Let X be a continuous random variable whose probability density function is f(x)=1-|x| for -1 <x<1. The triangular distribution of f is shown below. 4. diwsideihs ob vilidn 0.5 -0.5 0.5 sebl pi nl a. Explain why fis a probability density function? b. Find P(0<x <1). c Compute P*<1). C. <x< Compute P( -<< d.
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