Question 2: Suppose that starting at a certain time, batteries coming off an assembly line are examinedone-by-one to see whether they are defective (let D = defective and N = not defective). The randomexperiment terminates as soon as two nondefective batteries have been obtained.a) Let A denote the event that at host three batteries must be examined before two nondefective batteriesare obtained (and the random experiment stops). What outcomes are contained in event A?* {(D.N), (N.D), (D.0)3= 3:0b) Let B be the event that exactly four batteries must be examined before the random experimentterminates. What outcomes are contained in event B?c) What can be said about the number of possible outcomes for this chance experiment?FFand Pubelongs to a medical clinic that always h

An experiment is conduted to study the time taken by batteries to get off.The experiment is stopped…

Answered: Question 2: Suppose that starting at a…

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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21. If P(A)=1/4, P(B) =2/5 and P(AUB)=1/2 find P(AUB), where A and B are two non mutually exclusive events connected with a random experiment E and A° is the complement event of A.
Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome. During reproduction this mutation arises spontaneously on each of the X chromosomes of the parents, independently and with probability μ = 0.888. We can therefore view the production of a child as consisting of two probabilistic experiments. First, one of the two sex chromosomes is chosen with equal probability from each parent. Second, for each X chromosome that is chosen, the muscular dystrophy mutation arises independently with probability M. All male children carrying the mutation will develop muscular dystrophy, whereas only females whose X chromosomes both carry the mutation will develop the disease. What is the probability that a child will develop the disease? Round your answer to five decimal places.
1
Answer detailly 8(i)
PM)- Google Chrome va.edu.om/mod/quiz/attempt.php?attempt=818373&cmid%3D121611&page=D5 تجامعتگروی University of Nizwa A coin is tossed four times. The probability of getting more than one tail is OA. 5/8 OB. 11/16 OC. 5/16 OD. 3/8 OE. None of these The probability of getting minimum three heads is Oa. 1/4 Cb.3/4 Oc. 5/16 Cd. 3/8, CE. None of these page
-. Thanks to Gregor Mendel's famous experiments in the 1800s, we know that in a hybridization event between a homozygous plant carrying two yellow-pod genes and a heterozygous plant carrying one yellow-pod and one green-pod gene, there is a 75% chance that the offspring plant has green pods, and a 25% chance the offspring plant has yellow pods. If one of these hybridization experiments results in 12 offspring, what is the probability that exactly 5 of them have yellow pods? Make sure to define a random variable, state its distribution, and translate the question into a probability statement before solving. plants w/ yellow ands at of 12 ՈՐ
1) An aircraft is excepted to land in the prescribed recovery zone with probability of 70%. In a time, 5 spacecrafts land. Find the probability of at most two spacecraft will land on the prescribed area. 2) A die is rolled two times and the numbers shown are added to each other's. Find the probability that the product of the two numbers is greater than 12. 3) An experiment has a sample space with equally likely elements S = {a1, a2, a3, ... a10}. Three defined as A = {a1, a5}, B = {a1,a2,a6}, C = {a6}. events are Find P [(A U B) U C). 4) A binary channel with a source that produces two values A and B, with P[A]= 0.2. If an observer observed that 0.8 of the received values at the output are A. What is the probability that the channel will flip A to B? (Hint: The channel in presumed to affect A and B in the same manner). SOLVE ALL
Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome. During reproduction this mutation arises spontaneously on each of the X chromosomes of the parents, independently and with probability μ = 0.805. We can therefore view the production of a child as consisting of two probabilistic experiments. First, one of the two sex chromosomes is chosen with equal probability from each parent. Second, for each X chromosome that is chosen, the muscular dystrophy mutation arises independently with probability μ. All male children carrying the mutation will develop muscular dystrophy, whereas only females whose X chromosomes both carry the mutation will develop the disease. What is the probability that a child will develop the disease? Round your answer to five decimal places.
1- A clinical trial was conducted among 178 patients with advanced melanoma. There were two treatment groups. Group A received lnterleukin-2. Group B received lnterleukin-2 plus a vaccine. If the probability of the positive response is 0.65, then: i) lf 20 melanoma patients are given lnterleukin-2 plus a vaccine, what is the probability that exactly 5 of them will have a positive response to treatment? ii) lf 20 melanoma patients are given lnterleukin-2 plus a vaccine, what is the probability that at least 3 of them will have a positive response to treatment? iii) Prepare a 95% interval estimation for the probability of positive response to treatment in (i).
23. Composite Drug Test Based on the data in Table 4-1 on page 146, assume that the probability of a randomly selected person testing positive for drug use is 0.126. If drug screening samples are collected from 5 random subjects and combined, find the probability that the combined sample will reveal a positive result. Is that probability low enough so that further testing of the individual samples is rarely necessary?
4. The probability that the injection of a Covid-19 vaccine will create an unexpected reaction for a human is 0.001. Out of 2000 people, calculate the probability of people will suffer an unexpected reaction (a) exactly 3, (b) more than 2.
Suppose you are studying deliveries made by a shipping company. Suppose you find that 86% of this company's deliveries are made on time. Further suppose each delivery is independent. Finally suppose that you are studying a sample of 15 deliveries from this company. (a) What is the chance that exactly 11 of these deliveries are made on time? (b) What is the chance that less than 14 of these deliveries are made on time? For parts (c)/(d) suppose you are now studying a sample of 950 deliveries from this company. (c) Show why it is appropriate to approximate this situation with a normal random variable. (d) Using the normal distribution, what is the chance that more than 800 of these 950 deliveries are made on time?

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