STATS:DATA+MODELS-W/DVD
4th Edition
ISBN: 9780321986498
Author: DeVeaux
Publisher: PEARSON
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Chapter 16, Problem 37E
a.
To determine
Find the
b.
To determine
Find the probability that the tennis player gets exactly 4 serves in.
c.
To determine
Find the probability that the tennis player gets at least 4 serves in.
d.
To determine
Find the probability that the tennis player gets no more than 4 serves in.
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Find the range for the following sample data.
x
23
17
11
30
27
Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume the following data. Compute the sample mean for x and for y. Round your answer to the nearest tenth.
x:
11
0
36
22
34
24
25
-11
-11
-22
y:
9
-3
28
14
23
16
14
-3
-4
-9
Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume the following data. Compute the range for variable y.
X
12
0
36
21
35
23
24
-12
-12
-21
Y
10
-2
26
15
22
18
15
-2
-3
-10
Chapter 16 Solutions
STATS:DATA+MODELS-W/DVD
Ch. 16.6 - As we noted a few chapters ago, the Pew Research...Ch. 16.6 - As we noted a few chapters ago, the Pew Research...Ch. 16.6 - Prob. 3JCCh. 16.6 - Prob. 4JCCh. 16 - Prob. 1ECh. 16 - Bernoulli 2 Do these situations involve Bernoulli...Ch. 16 - 7. Toasters A manufacturer ships toasters in...Ch. 16 - 8. Soccer A soccer learn estimates that they will...Ch. 16 - 9. Toasters again In a batch of 10,000 toasters,...Ch. 16 - 10. Soccer again If this team has 200 corner kicks...
Ch. 16 - 11. Sell! A car dealership sells an average of 5...Ch. 16 - 12. Passing on A large hospital has an average of...Ch. 16 - Telephone numbers A cable provider wants to...Ch. 16 - Serial numbers In an effort to check the quality...Ch. 16 - Component lifetimes Lifetimes of electronic...Ch. 16 - Website sales Suppose occurrences of sales on a...Ch. 16 - On time A Department of Transportation report...Ch. 16 - Lost luggage A Department of Transportation report...Ch. 16 - Hoops A basketball player has made 80% of his foul...Ch. 16 - Chips Suppose a computer chip manufacturer rejects...Ch. 16 - More hoops For the basketball player in Exercise...Ch. 16 - Chips ahoy For the computer chips described in...Ch. 16 - Customer center operator Raaj works at the...Ch. 16 - Cold calls Justine works for an organization...Ch. 16 - Blood Only 4% of people have Type AB blood.
On...Ch. 16 - Color blindness About 8% of males are color-blind....Ch. 16 - Coins and intuition If you flip a fair coin 100...Ch. 16 - Roulette and intuition An American roulette wheel...Ch. 16 - Lefties Assume that 13% of people are left-handed....Ch. 16 - Arrows An Olympic archer is able to hit the...Ch. 16 - Lefties, redux Consider our group of 5 people from...Ch. 16 - More arrows Consider our archer from Exercise...Ch. 16 - Prob. 33ECh. 16 - Still more arrows Suppose the archer from Exercise...Ch. 16 - Prob. 35ECh. 16 - International students At a certain college, 6% of...Ch. 16 - Prob. 37ECh. 16 - Frogs A wildlife biologist examines frogs for a...Ch. 16 - And more tennis Suppose the tennis player in...Ch. 16 - Prob. 40ECh. 16 - Apples An orchard owner knows that he’ll have to...Ch. 16 - Frogs, part II Based on concerns raised by his...Ch. 16 - Lefties, again A lecture hall has 200 seats with...Ch. 16 - No-shows An airline, believing that 5% of...Ch. 16 - Prob. 45ECh. 16 - Prob. 46ECh. 16 - Prob. 47ECh. 16 - Bank tellers I am the only bank teller on duty at...Ch. 16 - TB Worldwide, tuberculosis is the number-one cause...Ch. 16 - Earthquakes Suppose the probability of a major...Ch. 16 - Prob. 51ECh. 16 - Prob. 52ECh. 16 - Prob. 53ECh. 16 - True-false A true–false test consists of 50...Ch. 16 - Prob. 55ECh. 16 - Prob. 56ECh. 16 - Prob. 57ECh. 16 - Prob. 58ECh. 16 - Prob. 59ECh. 16 - Quality control In an effort to improve the...Ch. 16 - Prob. 61ECh. 16 - Quality control, part 2 The cell phone...
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- Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume the following data. Compute the range for variable y. X 12 0 36 21 35 23 24 -12 -12 -21 Y 10 -2 26 15 22 18 15 -2 -3 -10arrow_forwardDo bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume the following data. Compute the range for variable x. X 15 0 37 23 33 25 26 -15 -15 -23 Y 6 -1 28 18 24 17 18 -1 -2 -6arrow_forward7.16. If the probability density of X is given by g kx³ for x>0 f(x) = (1+2x)6 0 10-01, elsewhere trolls inf ( 2X density of the random variable Y = where k is an appropriate constant, find the probability 1+2X distribution of Y, and thus determine the value of k. 7 Identify thearrow_forward
- 7.1. If X has an exponential distribution with the parameter 0, use the distribution function technique to find the probability density of the random variable Y = ln X. bilaga in dwreatarrow_forward3. Pleasearrow_forwardWhat does the margin of error include? When a margin of error is reported for a survey, it includes a. random sampling error and other practical difficulties like undercoverage and non-response b. random sampling error, but not other practical difficulties like undercoverage and nonresponse c. practical difficulties like undercoverage and nonresponse, but not random smapling error d. none of the above is corretarrow_forward
- solve the question based on hw 1, 1.41arrow_forwardT1.4: Let ẞ(G) be the minimum size of a vertex cover, a(G) be the maximum size of an independent set and m(G) = |E(G)|. (i) Prove that if G is triangle free (no induced K3) then m(G) ≤ a(G)B(G). Hints - The neighborhood of a vertex in a triangle free graph must be independent; all edges have at least one end in a vertex cover. (ii) Show that all graphs of order n ≥ 3 and size m> [n2/4] contain a triangle. Hints - you may need to use either elementary calculus or the arithmetic-geometric mean inequality.arrow_forwardWe consider the one-period model studied in class as an example. Namely, we assumethat the current stock price is S0 = 10. At time T, the stock has either moved up toSt = 12 (with probability p = 0.6) or down towards St = 8 (with probability 1−p = 0.4).We consider a call option on this stock with maturity T and strike price K = 10. Theinterest rate on the money market is zero.As in class, we assume that you, as a customer, are willing to buy the call option on100 shares of stock for $120. The investor, who sold you the option, can adopt one of thefollowing strategies: Strategy 1: (seen in class) Buy 50 shares of stock and borrow $380. Strategy 2: Buy 55 shares of stock and borrow $430. Strategy 3: Buy 60 shares of stock and borrow $480. Strategy 4: Buy 40 shares of stock and borrow $280.(a) For each of strategies 2-4, describe the value of the investor’s portfolio at time 0,and at time T for each possible movement of the stock.(b) For each of strategies 2-4, does the investor have…arrow_forward
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