Practice Exercise1. A grade 11 student of Tabaco National High School surveyed the households in Tabaco City. Therandom variable X represents the number of high school students with gadgets to be used in online classes.The probability distribution of X is shown below.X123400.02P(x)0.180.300.400.10Find the expected value and interpret the result.2. A lottery will be conducted for the benefits of those affected by typhoon Bolly, in San Miguel Island ofTabaco City. One thousand tickets will be sold. One ticket will win Php 5, 000 and the other tickets will winnothing. If you buy one ticket, what will be your expected gain and variance? Interpret the results.

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Answered: Practice Exercise 1. A grade 11 student…

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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A baker is deciding how many batches of muffins to make to sell in his bakery. He wants to make enough to sell every one and no fewer. Through observation, the baker has established a probability distribution. P(x) 1 0.15 2 0.35 3 0.40 4 0.10 Table 4.2 Define the random variable X.
Find the expected value of the probability model.
To avoid unpleasant surprises when the statement comes, you try to record all your credit card transactions in a ledger. Unfortunately, you tend to neglect recording about 5% of your purchases. Suppose that last month, you had 25 purchases on your credit card account. When the statement arrives, you count the number of purchases you forgot to record. The random variable X represents the number of unrecorded purchases in a month with 25 transactions. Find the probability that you would record all 25 purchases. 2.98 .2774 1.25 .3526
4.43 Consider the probability distribution for the random vari- able x shown here: 2 .4 10 .2 1 4 P(x) 2
very morning, Laura practices shooting basketball free throws. She doesn’t shoot a fixed amount, instead she keeps shooting free throws until she makes 12. Suppose Laura is an 82% free throw shooter. Let X be how many free throws Laura will miss tomorrow morning. Then X has a negative binomial distribution. What is a trial? What is a success? How many successes are required? r = What is the success probability? p =
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Company F sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four pieces. Occasionally the manufacturing process results in a fabric defect. Let the random variable X represent the number of defects on a fat quarter created by Company F. The following table shows the probability distribution of X. X 0 1 2 3 4 or more Probability 0.58 0.23 0.11 0.05 0.03 If a fat quarter has more than 2 defects, it cannot be sold and is discarded. Let the random variable Y represent the number of defects on a fat quarter that can be sold by Company F. (a) Construct the probability distribution of the random variable Y. (b) Determine the mean and standard deviation of Y. Show your work. Company G also sells fat quarters. The mean and standard deviation of the number of defects on a fat quarter that can be sold by Company G are 0.40 and 0.66, respectively. The fat quarters sell for $5.00 each, but are discounted by…
Part 2 Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.338 0.306 0.340 0.248 0.367 0.269 y 3.5 7.7 4.0 8.6 3.1 11.1 Σx = 1.868, Σy = 38, Σx2 = 0.592034, Σy2 = 294.32, Σxy = 11.1556, and r ≈ -0.901. Se ≈ 1.5890, a ≈ 26.420, and b ≈ -64.517. (a) Find the predicted percentage of strikeouts for a player with an x = 0.328 batting average. (Use 2 decimal places.) %(b) Find a 90% confidence interval for y when x = 0.328. (Use 2 decimal places.) lower limit % upper limit %
What is the significance of the mean of a probability distribution? Choose the correct answer below. OA. It gives information about how the outcomes vary. OB. It is the expected value of a discrete random variable. OC. It can never be negative. OD. It represents the most likely possible outcome. C
Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows. x 1 2 3 4 5 Px 0.68 0.14 0.08 0.02 0.08 Send data to Excel Part 1 of 7 (a) Find P1 . P1 = .68 Part 2 of 7 (b) Find P (greater than or equal to 2 ). P (greater than or equal to 2 ) = .32 Part 3 of 7 (c) Find the probability that a car has only one occupant. The probability that a car has only one occupant is . Part 4 of 7 (d) Find the probability that a car has fewer than four occupants. The probability that a car has fewer than four occupants is . Part 5 of 7 (e) Compute the mean μx .…
Workers of an insulation manufacturer are undergoing testing for asbestos traces in their lungs. Three employees with positive traces are requested to be sent to a medical center for more testing. Suppose that 40% of workers are positive for asbestos traces. What is the probability that ten workers should be tested to find three positives? Random Variable: Distribution: Computation:

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