STATS:DATA+MODELS(LL)-W/ACCESS>CUSTOM<
21st Edition
ISBN: 9780137643219
Author: DeVeaux
Publisher: PEARSON
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Chapter 15, Problem 39E
a.
To determine
Find the
b.
To determine
Check whether a normal model can be used to approximate the distribution of the number of good first serves.
c.
To determine
Explain the distribution using
d.
To determine
Find the probability that the tennis player makes at least 65 successful first serves.
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Chapter 15 Solutions
STATS:DATA+MODELS(LL)-W/ACCESS>CUSTOM<
Ch. 15.6 - As we noted a few chapters ago, the Pew Research...Ch. 15.6 - As we noted a few chapters ago, the Pew Research...Ch. 15.6 - Prob. 3JCCh. 15.6 - Prob. 4JCCh. 15 - Prob. 1ECh. 15 - Bernoulli 2 Do these situations involve Bernoulli...Ch. 15 - 7. Toasters A manufacturer ships toasters in...Ch. 15 - 8. Soccer A soccer learn estimates that they will...Ch. 15 - 9. Toasters again In a batch of 10,000 toasters,...Ch. 15 - 10. Soccer again If this team has 200 corner kicks...
Ch. 15 - 11. Sell! A car dealership sells an average of 5...Ch. 15 - 12. Passing on A large hospital has an average of...Ch. 15 - Telephone numbers A cable provider wants to...Ch. 15 - Serial numbers In an effort to check the quality...Ch. 15 - Component lifetimes Lifetimes of electronic...Ch. 15 - Website sales Suppose occurrences of sales on a...Ch. 15 - On time A Department of Transportation report...Ch. 15 - Lost luggage A Department of Transportation report...Ch. 15 - Hoops A basketball player has made 80% of his foul...Ch. 15 - Chips Suppose a computer chip manufacturer rejects...Ch. 15 - More hoops For the basketball player in Exercise...Ch. 15 - Chips ahoy For the computer chips described in...Ch. 15 - Customer center operator Raaj works at the...Ch. 15 - Cold calls Justine works for an organization...Ch. 15 - Blood Only 4% of people have Type AB blood.
On...Ch. 15 - Color blindness About 8% of males are color-blind....Ch. 15 - Coins and intuition If you flip a fair coin 100...Ch. 15 - Roulette and intuition An American roulette wheel...Ch. 15 - Lefties Assume that 13% of people are left-handed....Ch. 15 - Arrows An Olympic archer is able to hit the...Ch. 15 - Lefties, redux Consider our group of 5 people from...Ch. 15 - More arrows Consider our archer from Exercise...Ch. 15 - Prob. 33ECh. 15 - Still more arrows Suppose the archer from Exercise...Ch. 15 - Prob. 35ECh. 15 - International students At a certain college, 6% of...Ch. 15 - Prob. 37ECh. 15 - Frogs A wildlife biologist examines frogs for a...Ch. 15 - And more tennis Suppose the tennis player in...Ch. 15 - Prob. 40ECh. 15 - Apples An orchard owner knows that he’ll have to...Ch. 15 - Frogs, part II Based on concerns raised by his...Ch. 15 - Lefties, again A lecture hall has 200 seats with...Ch. 15 - No-shows An airline, believing that 5% of...Ch. 15 - Prob. 45ECh. 15 - Prob. 46ECh. 15 - Prob. 47ECh. 15 - Bank tellers I am the only bank teller on duty at...Ch. 15 - TB Worldwide, tuberculosis is the number-one cause...Ch. 15 - Earthquakes Suppose the probability of a major...Ch. 15 - Prob. 51ECh. 15 - Prob. 52ECh. 15 - Prob. 53ECh. 15 - True-false A true–false test consists of 50...Ch. 15 - Prob. 55ECh. 15 - Prob. 56ECh. 15 - Prob. 57ECh. 15 - Prob. 58ECh. 15 - Prob. 59ECh. 15 - Quality control In an effort to improve the...Ch. 15 - Prob. 61ECh. 15 - Quality control, part 2 The cell phone...
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- 20 km, because GISS Worksheet 10 Jesse runs a small business selling and delivering mealie meal to the spaza shops. He charges a fixed rate of R80, 00 for delivery and then R15, 50 for each packet of mealle meal he delivers. The table below helps him to calculate what to charge his customers. 10 20 30 40 50 Packets of mealie meal (m) Total costs in Rands 80 235 390 545 700 855 (c) 10.1. Define the following terms: 10.1.1. Independent Variables 10.1.2. Dependent Variables 10.2. 10.3. 10.4. 10.5. Determine the independent and dependent variables. Are the variables in this scenario discrete or continuous values? Explain What shape do you expect the graph to be? Why? Draw a graph on the graph provided to represent the information in the table above. TOTAL COST OF PACKETS OF MEALIE MEAL 900 800 700 600 COST (R) 500 400 300 200 100 0 10 20 30 40 60 NUMBER OF PACKETS OF MEALIE MEALarrow_forwardLet X be a random variable with support SX = {−3, 0.5, 3, −2.5, 3.5}. Part ofits probability mass function (PMF) is given bypX(−3) = 0.15, pX(−2.5) = 0.3, pX(3) = 0.2, pX(3.5) = 0.15.(a) Find pX(0.5).(b) Find the cumulative distribution function (CDF), FX(x), of X.1(c) Sketch the graph of FX(x).arrow_forwardA well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.arrow_forward
- 5. Let X and Y be independent random variables and let the superscripts denote symmetrization (recall Sect. 3.6). Show that (X + Y) X+ys.arrow_forward8. Suppose that the moments of the random variable X are constant, that is, suppose that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.arrow_forward9. The concentration function of a random variable X is defined as Qx(h) = sup P(x ≤ X ≤x+h), h>0. Show that, if X and Y are independent random variables, then Qx+y (h) min{Qx(h). Qr (h)).arrow_forward
- 10. Prove that, if (t)=1+0(12) as asf->> O is a characteristic function, then p = 1.arrow_forward9. The concentration function of a random variable X is defined as Qx(h) sup P(x ≤x≤x+h), h>0. (b) Is it true that Qx(ah) =aQx (h)?arrow_forward3. Let X1, X2,..., X, be independent, Exp(1)-distributed random variables, and set V₁₁ = max Xk and W₁ = X₁+x+x+ Isk≤narrow_forward
- 7. Consider the function (t)=(1+|t|)e, ER. (a) Prove that is a characteristic function. (b) Prove that the corresponding distribution is absolutely continuous. (c) Prove, departing from itself, that the distribution has finite mean and variance. (d) Prove, without computation, that the mean equals 0. (e) Compute the density.arrow_forward1. Show, by using characteristic, or moment generating functions, that if fx(x) = ½ex, -∞0 < x < ∞, then XY₁ - Y2, where Y₁ and Y2 are independent, exponentially distributed random variables.arrow_forward1. Show, by using characteristic, or moment generating functions, that if 1 fx(x): x) = ½exarrow_forward
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