Scenario 5-8. A student is chosen at random from the River City High School student body, and the following events are recorded:M=The student is maleF = The student is femaleB= The student ate breakfast that morning.N= The student did not eat breakfast that morning.The following tree diagram gives probabilities associated with these events.В.8M.2N.B.6.3F.7 Use Scenario 5-8. What is the probability that the student had breakfast?0.640.32C0.40O d0.50

Answered: Scenario 5-8. A student is chosen at…

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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6. An oil exploration company is planning to drill for oil in a new location. Their geologists give them the following probabilities. There is a 10 % probability of making $20,000,000 on this project. There is a 30% probability .of making $12,000,000 on this project There is a 40% probability of making $5,000,000 on this project. Otherwise, they lose their $8,000,000 a) Make up a probability distribution for this drilling project. b) What is the expected value of this drilling project? c) If you owned the company, would you drill? Explain your answer briefly.
of 16 Suppose a high school gymnasium bag contains volleyballs, basketballs, and soccer balls. During physical education class, the coach randomly selects a ball 0.45 0.37 from the bag. The ball the coach selects determines what sport the students play that day. If she selects a volleyball, the students play volleyball that day, and so 0.45 0.18 on. The tree diagram shows the possible outcomes with their probabilities for two consecutive physical education classes. Determine the probability that the students will play volleyball two days in a row. Give your answer as a decimal precise to two decimal places. 0.45 0.37 0.37 0.18 0.18 0.45 0.37 0,18
6.
. An electronic assembly consists of two subsystems A and B. The following probabilities are known. P(A fails) = 0.25, P( A and B fail) = 0.14 and P(B fails alone) = 0.15. Evaluate P (A fails alone) P (A fails given that B has failed) (Explain the solution using Venn diagram)
QL: If Ali drive 4 sessions, he have a 60% chance of winning. Assuming that the sessions are independent of each other, what is the probability that: 1. Ali will win 0, 1,2.3 orall 4 sessions, 2. Ali will win at least one session. 3. Al will win a majority of the sessions.
An experiment consists of two independent trials. The outcomes of the first trial are A, B, and C, with probabilities of occurring equal to 0.2, 0.4, and 0.4, respectively. The outcomes of the second trial are E and F, with probabilities of occurring equal to 0.7 and 0.3. Draw a tree diagram representing this experiment. Use this tree diagram to find the probabilities below. (a) P(B)(b) P(F | B)(c) P(B F)(d) P(F)(e) Does P(B F) = P(B) · P(F)? YesNo (f) Are B and F independent events? YesNo
7. A drawer contains 6 black socks, 4 brown socks, and 2 green socks. Suppose one sock is drawn from the drawer and that it is equally likely that any one of the socks is drawn. Find the probabilities for each of the following: a. The sock is brown b. The sock is either black or green c. The sock is red d. The sock is not black
ANSWER D AND E ONLY
A student takes a multiple-choice quiz with 5 questions, each with four possible answers and only oneof them is correct. A passing grade is 60% or better (i.e., answering at least 3 of 5 questions correctly).Suppose that the student was unable to find time to study for the exam and just guesses at eachquestion. Find the probabilities for the two events below.i. the student gets exactly 3 questions correct.ii. the student passes the exam
. Based on past experience, a company knows that an experienced machine operator will produce a defective item 2% of the time. Operators with some experience produce a defective item 3.5% of the time, and new operators will produce a defective item 9% of the time. At any one time, the company has 53% experienced operators, 33% operators with some experience,and 14% new operators. draw a tree diagram. Given that the item is defective, what is the probability that it was made by a new operator?
In a 1-hour output of a production line, Line 1 produces 2 defective and 3 non-defective items in their output box. Line 2 output box contains 7 defective and 5 non-defective items. If B1 is the event of randomly selecting the output of Line 1, and B2 is the event of randomly selecting the output of Line 2, having probabilities of 0.4 and 0.6 respectively. a. Draw the complete tree diagram indicating the probability values. b. What is the probability that the item is defective given that it came from Line 1? c. What is the probability that of randomly selecting 1 item from the two lines, the item is non- defective? d. What is the probability that the item is from Line 2 given that it is non-defective? e. Given that it is defective, what is the probability that it came from Line 1?
A. 8.33%B. 2 timesC. 66.67%D. 16 times

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