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Z
Z
Z
is the length of a randomly chosen sidewalk.
\newline
Is the random variable
Z
Z
Z
discrete or continuous?
\newline
Choices:
\newline
(A)discrete
\newline
(B)continuous
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Math Problems
Algebra 2
Identify discrete and continuous random variables
Full solution
Q.
Z
Z
Z
is the length of a randomly chosen sidewalk.
\newline
Is the random variable
Z
Z
Z
discrete or continuous?
\newline
Choices:
\newline
(A)discrete
\newline
(B)continuous
Length Measurement Definition:
Z
Z
Z
is a measurement of length, which can take on any value within a range, not just
whole numbers
.
Continuous Nature of Length Measurements:
Measurements of length are continuous since they can include
fractions
and decimals.
Random Variable
Z
Z
Z
:
Therefore, the random variable
Z
Z
Z
is continuous.
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\newline
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\newline
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There are two different raffles you can enter.
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In raffle A, one ticket will win a `$720` prize, and the other tickets will win nothing. There are
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X
X
X
is a normally distributed random variable with mean
49
49
49
and standard deviation
25
25
25
.
\newline
What is the probability that
X
X
X
is between
24
24
24
and
74
74
74
?
?
?
\newline
Use the
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0.95
−
0.997
0.68-0.95-0.997
0.68
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\newline
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X
X
X
is a normally distributed random variable with mean
65
65
65
and standard deviation
8
8
8
.
\newline
What is the probability that
X
X
X
is between
62
62
62
and
68
68
68
?
?
?
\newline
Write your answer as a decimal rounded to the nearest thousandth.
\newline
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Question
Complete the statement. Round your answer to the nearest thousandth.
\newline
In a population that is normally distributed with mean
43
43
43
and standard deviation
3
3
3
, the bottom
30
%
30\%
30%
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Y
Y
Y
is the number of desserts available in a randomly chosen restaurant.
\newline
Is the random variable
Y
Y
Y
discrete or continuous?
\newline
Choices:
\newline
[A]discrete
\text{[A]discrete}
[A]discrete
\newline
[B]continuous
\text{[B]continuous}
[B]continuous
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Posted 1 year ago
Question
Which of the following functions are continuous for all real numbers?
\newline
g
(
x
)
=
ln
(
x
)
g(x)=\ln (x)
g
(
x
)
=
ln
(
x
)
\newline
f
(
x
)
=
1
x
f(x)=\frac{1}{x}
f
(
x
)
=
x
1
\newline
Choose
1
1
1
answer:
\newline
(A)
g
g
g
only
\newline
(B)
f
f
f
only
\newline
(C) Both
g
g
g
and
f
f
f
\newline
D Neither
g
g
g
nor
f
f
f
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Question
Which of the following functions are continuous at
x
=
−
1
x=-1
x
=
−
1
?
\newline
g
(
x
)
=
sin
(
x
+
1
)
g(x)=\sin (x+1)
g
(
x
)
=
sin
(
x
+
1
)
\newline
f
(
x
)
=
1
x
−
1
f(x)=\frac{1}{x-1}
f
(
x
)
=
x
−
1
1
\newline
Choose
1
1
1
answer:
\newline
(A)
g
g
g
only
\newline
(B)
f
f
f
only
\newline
(C) Both
g
g
g
and
f
f
f
\newline
(D) Neither
g
g
g
nor
f
f
f
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Posted 1 year ago
Question
Let
g
g
g
be a continuous function on the closed interval
[
−
1
,
4
]
[-1,4]
[
−
1
,
4
]
, where
g
(
−
1
)
=
−
4
g(-1)=-4
g
(
−
1
)
=
−
4
and
g
(
4
)
=
1
g(4)=1
g
(
4
)
=
1
.
\newline
Which of the following is guaranteed by the Intermediate Value Theorem?
\newline
Choose
1
1
1
answer:
\newline
(A)
g
(
c
)
=
−
3
g(c)=-3
g
(
c
)
=
−
3
for at least one
c
c
c
between
−
1
-1
−
1
and
4
4
4
\newline
(B)
g
(
c
)
=
3
g(c)=3
g
(
c
)
=
3
for at least one
c
c
c
between
−
4
-4
−
4
and
1
1
1
\newline
(C)
g
(
c
)
=
−
3
g(c)=-3
g
(
c
)
=
−
3
for at least one
c
c
c
between
−
4
-4
−
4
and
1
1
1
\newline
(D)
g
(
c
)
=
3
g(c)=3
g
(
c
)
=
3
for at least one
c
c
c
between
−
1
-1
−
1
and
4
4
4
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Posted 11 months ago
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