Basic Computation: Expected Value and Standard Deviation Consider the probability distribution shown in Problem 3(a). Compute the expected value and the standard deviation of the distribution.

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2.
Statistical Literacy Which of the following are continuous var
orning
V
which are discrete?
+
(a) Speed of an airplane
(b) Age of a college professor chosen at random
(c) Number of books in the college bookstore
(d) Weight of a football player chosen at random
(e) Number of lightning strikes in Rocky Mountain National Park on a
given day
3. Statistical Literacy Consider each distribution. Determine if it is a valid
probability distribution or not, and explain your answer.
(а)
1
2
(b)
01
1 2
P(x)
0.25 0.60
0.15
P(x)
0.25
0.60
0.20
4. | Statistical Literacy At State College all classes start on the hour, with the e
showed the percentages preferring the listed start times.
12 or 1 P.M.
liest start time at 7 A.M. and the latest at 8 P.M. A random sample of freshme
after 5 P.M
1P.M., or later
9.10,or 11A.M.
15%
Transcribed Image Text:2. Statistical Literacy Which of the following are continuous var orning V which are discrete? + (a) Speed of an airplane (b) Age of a college professor chosen at random (c) Number of books in the college bookstore (d) Weight of a football player chosen at random (e) Number of lightning strikes in Rocky Mountain National Park on a given day 3. Statistical Literacy Consider each distribution. Determine if it is a valid probability distribution or not, and explain your answer. (а) 1 2 (b) 01 1 2 P(x) 0.25 0.60 0.15 P(x) 0.25 0.60 0.20 4. | Statistical Literacy At State College all classes start on the hour, with the e showed the percentages preferring the listed start times. 12 or 1 P.M. liest start time at 7 A.M. and the latest at 8 P.M. A random sample of freshme after 5 P.M 1P.M., or later 9.10,or 11A.M. 15%
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V Understanding Basic Statistics
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Section 6.1
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6.1 Statistical Literacy Consider the probability distribution of a random variable
x. Is the expected value of the distribution necessarily one of the possible-
values of x? Explain or give an example.
eviation
ie total num
7. Basic Computation: Expected Value and Standard Deviation Consider the
probability distribution shown in Problem 3(a). Compute the expected value
and the standard deviation of the distribution.
00 Therefor
y of winning
amount of
ty you will w
00*500-$0.
8.| Basic Computation: Expected Value For a fundraiser, 1000 raffle tickets are
sold, and the winner is chosen at random. There is only one prize, $500 in
en costs and
bought a tick
cash. You buy one ticket.
(a) What is the probability you will win the prize of $500?
(b) Your expected earnings can be found by multiplying the value of the
prize by the probability you will win the prize. What are your expected
earnings?
(c) Interpretation If a ticket costs $2, what is the difference between your
"costs" and "expected earnings"? How much are you effectively contrib-
Next Page
uting to the fundraiser?
Dp.
Transcribed Image Text:elp 1 0 4 platform.virdocs.com duction to Random Va... ndom V P Paraphrasing Tool | Quickly and I.. EMy Library RedShelf Tell me V Understanding Basic Statistics A Style Section 6.1 Introduction to Random Variables and Probability Distributions 5. 249 annot be 6.1 Statistical Literacy Consider the probability distribution of a random variable x. Is the expected value of the distribution necessarily one of the possible- values of x? Explain or give an example. eviation ie total num 7. Basic Computation: Expected Value and Standard Deviation Consider the probability distribution shown in Problem 3(a). Compute the expected value and the standard deviation of the distribution. 00 Therefor y of winning amount of ty you will w 00*500-$0. 8.| Basic Computation: Expected Value For a fundraiser, 1000 raffle tickets are sold, and the winner is chosen at random. There is only one prize, $500 in en costs and bought a tick cash. You buy one ticket. (a) What is the probability you will win the prize of $500? (b) Your expected earnings can be found by multiplying the value of the prize by the probability you will win the prize. What are your expected earnings? (c) Interpretation If a ticket costs $2, what is the difference between your "costs" and "expected earnings"? How much are you effectively contrib- Next Page uting to the fundraiser? Dp.
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