In the past 30 days, WIRO Marketing sold 10, 11, 12, or 13 sacks of Hybrid Corn. It neversold fewer than 10 or more than 15. Assuming that the past is similar to the future; andif the sales were 10 sacks on 8 days, 11 sacks on 11 sacks on 12 days, 12 sacks on 6 days,13 sacks 4 days, what is the probability (%) of selling 12 sacks?

Given that WIRO Marketing sold 10, 11, 12 or 13 sacks of Hybrid Corn. Sales were: 10 sacks on 8…

Answered: I. In the past 30 days, WIRO Marketing…

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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4. Consider a family with three children. Given that at least one of the children is a boy, what is the probability that the three children children are boys? (assume that the probability of having a boy is 0.5, and that the gender of the second child is independent of the gender of the first child and of the gender of the third child)
2)
5. A manufacturer of cell phones purchases batteries from a vendor. It is not uncommon to receive defective batteries from this vendor, thus whenever a shipment is received, a sample of batteries is inspected. For this month's shipment, a random sample of 280 batteries is selected and each battery is inspected. If the proportion of defective batteries sampled is more than 1.5%, the entire shipment will be returned to the vendor. What is the probability that this month's shipment will be returned if the true proportion of defective batteries is 4%?
7. Suppose that after 10 years of service, 40% of computers have problems withmotherboards (MB), 30% have problems with hard drives (HD), and 15% have problemswith both MB and HD. What is the probability that a 10-year old computer still has fullyfunctioning MB and HD?
2
16. JTWO rescue crews set out to find a lost hiker in the Kern Canyon. Suppose the first crew has a 30% chance of finding the lost hiker before nightfall and the second crew has a 40% chance of finding the lost hiker before nightfall. If the two crews work independently, what is the probability that the lost hiker is found before nightfall?
3. A retailer sells two brands of batteries that experience indicates are equal in demand. If he stocks two of each brand (which means he has 4 batteries in his store), what is the probability that a customer seeking to purchase two batteries, purchases the same brand? 1/3 2/3 01/2 1/4
1. Researchers are interested in the relationship between vaping and upper respiratory infections. Suppose that 15% of their population of interest has vaped in the past year and 25% have had an upper respiratory infection in the past year. In addition, they know that 10% have both vaped and had an upper respiratory infection in the past year. What percent of the population has neither vaped nor had an upper respiratory infection in the past year? b. What is the probability of having an upper respiratory infection in the past year given that the person has vaped in the past year? What is the complement of the event in part b)? Be sure to interpret this probability in the context of the problem. a. C. d. What is the probability of having an upper respiratory infection in the past year given that the person has not vaped in the past year? Are the two events independent? Be sure to justify your answer. Based on your calculations what can you conclude about the relationship between vaping…
3. A hacker breaking into a computer system has a 15% chance of breaking into a system in 3 minutes, a 35% chance after 8 minutes, and a 50% chance after 30 minutes. What is the expected time it will take the hacker to get in?
12. A survey conducted discovered that 63% of all Americans are overweight. Suppose that a number of randomly selected Americans are weighed. The following table may (or may not) be useful: k 0 1 2 3 4 1 4 6 4 1 4Ck (a) Find the probability that the 4th person weighed is the first person to be overweight. (b) Find the probability that it takes less than 4 people to observe the first overweight person. (c) Find the expected value and variance of the number of Americans that would have to be weighed in order to find the first person that was overweight.

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