1. Identify if the following scenarios describe a discrete or continuous random variable.Explain your choice.(a) X = The number of persons in an emergency room181screte(b) W = The weights of delivery trucks at a supermarket.Lconinaas(c) H= The areas of houses being built in a new subdivision.2. Faith is a 95% free throw shooter. At practice, each player shoots 20 free throws. LX the number of free throws Faith makes out of 20 shots.(a) Explain why X is a binomial random variable.(b) Calculate the mean of X.(c) Calculate the standard deviation of X.(d) Use the binomial probability formula to find P(X = 19). Interpret this value in context.(e) Her coach says that he will let the team out of practice early if Faith makes 18 or mefree throws. What is the probability that practice ends early? Show your work.2017 BFW Publishers Starnes/Tabor Statistics and Probability with Applications 3/e

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The marketing manager of a large multinational corporation is concerned that some salespersons perform very well and others quite poorly. To help analyze the problem he draws a random sample of 20 salespersons, determines their commission incomes, and calculates the following statistics: x = $37.2, and s = $7.6. Use a 0.05 to test whether the population variance exceeds $35. Ho: o² ≤ 35 Ha: o² > 35 (A) Reject H。 if x² ≥30.1435 (B) Reject H₁ if x² ≥32.8523 (C) test statistic is 31.355 (D) Conclusion: Ho cannot be rejected
18.| Medical: Hemoglobin Count Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with a population mean of about 14 for healthy adult women (see reference in Problem 17). Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are 15 18 16 19 14 12 14 17 15 11 i. Use a calculator with sample mean and sample standard deviation keys to verify that x = 15.1 and s 2.51. ii Does this information indicate that the population average HC for this %3D patient is higher than 14? Use a = 0.01. %3D
There are two independent random variables X and Y. X has mean 4 and standard deviation , and Y also has mean 4 and standard deviation . A random variable Z is the sum of X and Y. That is, Z = X + Y. Calculate the mean of Z.
Classify the following random variables as discrete or continuous . 1. The average distance that a runner can reach in an hour. 2. The time to finish the test. 3. The number of baskets of apple harvested. 4. The weight of student athlete. 5. The length of fence around the housing unit.
A. Classify whether the given experiment implies a discrete random variable or a continuous random variable. Write D if discrete and C if continuous. ___________1. The temperature of a solution in the laboratory of San Sebastian School. ___________2. Collecting data about the heights of students in Grade 11 students. ___________3. Recording the distance travelled by the jeep. ___________4. Surveying about the number of cases due to Covid - 19 pandemic in Nueva Ecija. ___________5. Number of promoted students at the end of school year. ___________6. Getting the distance travelled by a car. ___________7. Collecting data about the weights of students in a certain school ___________8. The temperature in Science City of Munoz at noon times. ___________9. Picking a multiple of 3 less than 100. ___________10.Tallying the number of PUI (Person Under Investigation) due to Covid-19 pandemic B. An umbrella - check girl returns 2 umbrellas at random to 2 customers who had previously checked in,…
From a large consignment of clementine fruit destined for a UK supermarket the cus- toms office is making a check at the boarder. According to the sender the weight of the fruit belongs to an unknown distribution of mean 50 g and variance 16 g. If the cus- toms officer takes 100 fruits at random what is the probability that their total weight will be more than 5040 g. Justify any assumptions you make in your calculations.
Solve task from image.
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5. A quality control engineer found that the inner and outer diameters of their ball bearings, denoted respectively as X and Y, are random variables with E(X|Y = y) = 0.7 – 0.3y inches and Var(X|Y = y) = 0.0004y for all values of y. From his past experience he also knew that the mean and variance of the outer diameters were E(Y) = 0.7 inches, and Var(Y) squared inches. = 0.0001 %3D • (i) What are the conditional random variables, E(X|Y) and Var(X|Y)? • (ii) Find the mean of the inner diameters, E(X). • (ii) Find the variance of the inner diameters, Var(X).
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There are two independent random variables X and Y. X has mean 4 and standard deviation , and Y also has mean 4 and standard deviation . A random variable W is the difference between X and Y. That is, W = X - Y. Calculate the mean of W.

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1. Identify if the following scenarios describe a discrete or continuous random variable. Explain your choice. (a) X = The number of persons in an emergency room (b) W = The weights of delivery trucks at a supermarket. lcominaan5 (c) H= The areas of houses being built in a new subdivision.