9 Open on a Jamboard5. A classroom teacher is passing out materials for their class and is giving different materials out tostudents. Students are either given a pen or a marker as well as paper or cardstock for their supplies.30 percent of students are given pens, and 42% of students received cardboard.(a) Fill in the tree diagram below with this and any missing information.(b) Assuming the materials distributed are independent from one another.What is the probability a student gets either a pen or paper?EXTD V O 10:17hpVV

30% of students received pens 42%of students received cardboard We've to calculate probability…

Answered: 5. A classroom teacher is passing out…

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. At a High school, 70% of the seniors have taken an advance calculus course. Of those who have taken Advanced Calculus, 60% will apply for a Pre-Health science major when they apply for college admission. Of those who have not taken advanced calculus, 40% will apply for a Pre-Health science major when they apply for college admission. A senior is selected at random. What is the probability that the senior have taken advanced calculus, given that the senior will apply for a pre-health science major?
A box contains the following tickets: 1, 1, 1, 1, 2, 2, 3, 3. Which of the plots below represents the probability histogram for a single draw from this box? (a) (b) (c)
6. Employers often require their employees to be subjected to random drug testing. Suppose that 5% of employees use a certain type of drug. Drug testing accuracy varies. From years of data collection it is known that those who use this type of drug have ½ 94% chance of testing positive. It is also known that 3% of non-drug users (of the certain type of drug) still test positive. a.) Fill out a probability cross tabulation. b.) If the employee tests positive for a certain drug, what's the probability that the employee uses the drug? c) If the employee tests positive for a certain drug, what's the probability that the employee does NOT use the drug?
Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students eat pizza and drink soda, what is the probability that a randomly chosen high student will either eat pizza, drink soda, or both?
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%?
A certain math conference has 9258 attendees. Of these individuals, 5371 are college professors, and 4496 are female. Of the college professors, 3347 are female. What is the probability that a randomly selected attendee is female or a college professor? Answers should be decimals (not percentages) correct to three decimal places.
5. Big babies: The Centers for Disease Control and Prevention reports that 25% of baby boys 6-8 months old in the United States weigh more than 20 pounds. A sample of 150 babies is studied. a. Approximate the probability that more than 40 weigh more than 20 pounds. b. Approximate the probability that 35 or fewer weigh more than 20 pounds. c. Approximate the probability that the number who weigh more than 20 pounds is G 20
Brian is in charge of the mailroom of the Boryk Corporation. Each day the company receives several packages via the U.S. Postal system, for which he must sign. The following is the probability distribution for the number of daily pieces of mail that comes via the Postal system.
2. The following table shows the income distribution for two groups of people in a country: those who declare to belong to a faith, and those who declare to be free thinkers. Income bracket Middle 13278 2225 Religious outlook Faith believer Free thinker Lower 7940 1241 Upper 4527 813 (a) A person is randomly selected from the group, find the probability that this person is a (i) free thinker. (ii) free thinker given that he/she has middle income. (iii) faith believer or he/she has lower income. (b) Are the events "Free thinker" and "Middle income" independent? Explain your answer. (Note: Round the probabilities to two significant figures)

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