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Collaborative statistics
The normal distribution
Review
The next two questions refer to:
X ~
U
(
3
,
13
)
Explain which of the following are false and which are true.
a
f
(
x
)
=
1
10
size 12{f \( x \) = { {1} over {"10"} } } {} ,
3
≤
x
≤
13
size 12{3<= x<= "13"} {}
b There is no mode.
c The median is less than the mean.
d
P
(
x
>
10
)
=
P
(
x
≤
6
)
size 12{P \( x>"10" \) =P \( x<= 6 \) } {}
a True
b True
c False – the median and the mean are the same for this symmetric distribution
d True Got questions? Get instant answers now!
Calculate:
a Mean
b Median
c 65th percentile.
a 8
b 8
c
P
(
x
<
k
)
=
0
.
65
=
(
k
−
3
)
∗
(
1
10
)
size 12{P \( x<k \) =0 "." "65"= \( k - 3 \) * \( { {1} over {"10"} } \) } {} .
k
=
9
.
5
size 12{k=9 "." 5} {} Got questions? Get instant answers now!
Which of the following is true for the above box plot?
a 25% of the data are at most 5.
b There is about the same amount of data from 4 – 5 as there is from 5 – 7.
c There are no data values of 3.
d 50% of the data are 4.
a False –
3
4
size 12{ { {3} over {4} } } {} of the data are at most 5
b True – each quartile has 25% of the data
c False – that is unknown
d False – 50% of the data are 4 or less Got questions? Get instant answers now!
If
P
(
G
∣
H
)
=
P
(
G
)
size 12{P \( G \lline H \) =P \( G \) } {} , then which of the following is correct?
A
G
size 12{G} {} and
H
size 12{H} {} are mutually exclusive events.
B
P
(
G
)
=
P
(
H
)
size 12{P \( G \) =P \( H \) } {}
C Knowing that
H
size 12{H} {} has occurred will affect the chance that
G
size 12{G} {} will happen.
D
G
size 12{G} {} and
H
size 12{H} {} are independent events.
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If
P
(
J
)
=
0
.
3
size 12{P \( J \) =0 "." 3} {} ,
P
(
K
)
=
0
.
6
size 12{P \( K \) =0 "." 6} {} , and
J
size 12{J} {} and
K
size 12{K} {} are independent events, then explain which are correct and which are incorrect.
A
P
(
J
and
K
)
=
0
B
P
(
J
or
K
)
=
0.9
C
P
(
J
or
K
)
=
0.72
D
P
(
J
)
≠
P
(
J
∣
K
)
A False - J and K are independent so they are not mutually exclusive which would imply dependency (meaning P(J and K) is not 0).
B False - see answer C.
C True - P(J or K) = P(J) + P(K) - P(J and K)
= P(J) + P(K) - P(J)P(K)= 0.3 + 0.6 - (0.3)(0.6) = 0.72.
Note that P(J and K) = P(J)P(K) because J and K are independent.
D False - J and K are independent so P(J) = P(J|K). Got questions? Get instant answers now!
On average, 5 students from each high school class get full scholarships to 4-year colleges. Assume that most high school classes have about 500 students.
X = the number of students from a high school class that get full scholarships to 4-year school. Which of the following is the distribution of
X ?
A P(5)
B B(500,5)
C Exp(1/5)
D N(5, (0.01)(0.99)/500)
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Questions & Answers
Explain the following terms .
(1) Abiotic factors in an ecosystem
Abiotic factors are non living components of ecosystem.These include physical and chemical elements like temperature,light,water,soil,air quality and oxygen etc
Qasim
passive process of transport of low-molecular weight material according to its concentration gradient
AI-Robot
what is production?
Catherine
how did the oxygen help a human being
how did the nutrition help the plants
Biology is a branch of Natural science which deals/About living Organism.
evolutionary history and relationship of an organism or group of organisms
AI-Robot
cell is the smallest unit of the humanity biologically
Abraham
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Source:
OpenStax, Collaborative statistics. OpenStax CNX. Jul 03, 2012 Download for free at http://cnx.org/content/col10522/1.40
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