Elementary Statistics
12th Edition
ISBN: 9780321837936
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 6.5, Problem 10BSC
Using the Central Limit Theorem. In Exercises 5–10, use this information about the overhead reach distances of adult females: μ = 205.5 cm, σ = 8.6 cm, and overhead reach distances are
10. a. If 1 adult female is randomly selected, find the
b. If 50 adult females are randomly selected, find the probability that they have a mean overhead reach between 198.0 cm and 206.0 cm.
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Q. 15 Give classical (Laplacian, mathematical)
definition of probability.
The American Mineralogist (Oct. 2009) published a study of the evolution of uranium minerals in the Earth's crust. Researchers estimate that the trace amount of
uranium x in reservoirs follows a uniform distribution ranging between 1 and 3 parts per million. Complete parts a through c.
a. Find E(x) and interpret its value. Select the correct answer below and fill in the answer box to complete your choice.
(Simplify your answer.)
O A. E(X)=
This value gives the minimum parts per million of uranium for the collection of all reservoirs on the Earth.
O B. E(X)=
This value gives the maximum parts per million of uranium for the collection of all reservoirs on the Earth.
O C. E(x)=
This value gives the mean parts per million of uranium for the collection of all reservoirs on the Earth.
O D. E(X)=
This value gives the mean parts per million of uranium in each reservoir on the Earth.
Question 2, section 6.1
Chapter 6 Solutions
Elementary Statistics
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Ch. 6.2 - Prob. 11BSCCh. 6.2 - Prob. 12BSCCh. 6.2 - Prob. 13BSCCh. 6.2 - Prob. 14BSCCh. 6.2 - Prob. 15BSCCh. 6.2 - Prob. 16BSCCh. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Prob. 26BSCCh. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Prob. 28BSCCh. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. In Exercises 1736,...Ch. 6.2 - Standard Normal Distribution. 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- sub= 24 helparrow_forwardSECTION B Question 1 Suppose X is a random variable with the following probability density function g(x) = k(x²+1), 00.4) d) Hence find the mean and variance of Y = 2-3x. [2] [4] [4] [6] [4] Question 2 Let X and Y be random variables with the probability density function and moment generating function given respectively by H(x)= , x = 0,2,4 and mx My(t) = (1-21)+, 0 ≤1≤ a) Find the value of m. b) Evaluate P(0≤t<3). c) Find the mean and variance of X. [2] [3] [5] d) Find the mean and variance of Y. [5] e) If X and Y are dependent random variables with covariance σxy = 0.2 find mean and variance of the random variable Z=2X-3Y+5. 2 [5]arrow_forwardThe American Mineralogist (Oct. 2009) published a study of the evolution of uranium minerals in the Earth's crust. Researchers estimate that the trace amount of uraniun distribution ranging between 1 and 3 parts per million. Complete parts a through c. a. Find E(x) and interpret its value. Select the correct answer below and fill in the answer box to complete your choice. (Simplify your answer.) O A. E(X)= .This value gives the minimum parts per million of uranium for the collection of all reservoirs on the Earth. O B. E(X)= This value gives the maximum parts per million of uranium for the collection of all reservoirs on the Earth. O C. E(x) = 2 . This value gives the mean parts per million of uranium for the collection of all reservoirs on the Earth. O D. E(X)= . This value gives the mean parts per million of uranium in each reservoir on the Earth. b. Compute P(2arrow_forward%A. l. https://docs.google.com/fo YO 4.4 O 3.96 O 1.8 نقطة واحدة Let X denote the number of colleges where you will apply after your results and P(X =x) denotes your probability of getting admission in x number of colleges. It is given that if x = 0 or 1 if x = 2 if x 3 or 4 otherwise kx, 2kx, P(X = x) 3= %3D k(5 - x), 0, Where k is a positive constant. Then the probability that you will get admission in at most 2 colleges is 0.625arrow_forwardCalculate the relative frequency P(E). Two coins are tossed 50 times, and two heads come up 17 times. E is the event that at least one tail comes up. P(E) =arrow_forwardExample 10.9) Assume that the standard deviation o is 300 and n is 25. Calculate the standard error of the sample mean.arrow_forwardQuestion 6 part a-carrow_forwardLenovo produces laptop that last on average by 5 years. The life span of each laptop follows an exponential distribution. a. what is the rate of parameter in lambda? b. probability that laptop will last less than 4 years? c. probability that laptop will last between 3 to 6 years? d. probability that laptop will last more than 6 years?arrow_forwardPoint ENTRY CARD Compute the variance of this frequency distribution. Score Number of Students 3. 8 10 4 12 15 Follow the steps given below. Complete the tables shown for each step. Steps 1. Compute the mean by using the Solution Number of formula X=EX Score %3D Students fX 3 8. 10 4 12 15 3 n= 20arrow_forwardd. Find E(x) and practically interpret this value. Age (years) to Buy 1st Smart Speaker Probability3 0.024 0.025 0.016 0.017 0.028 0.049 0.0410 0.0911 0.0712 0.0713 0.0714 0.0615 0.0416 0.1517 0.1418 0.15arrow_forward6b.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.arrow_forwardScores on the Wechsler Adult Intelligence Scale are approximately normally distributed with 100 and σ=15. Use Table B or software to answer the following questions. What scores fall in the lowest 25% of the distribution? How high a score is needed to be in the highest 5%?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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