Defective components: A lot of 9 components contains 2 that are defective. Two components are drawn at random and tested. Let A be the event that thefirst component drawn is defective, and let B be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, roundedto four decimal places.(a) Find P(A).(b) Find P(B |A).(c) Find P(A and B).(d) Are A and B independent? Explain.

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Answered: Defective components: A lot of 9…

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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Defective components: A lot of 9 components contains 2 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places. (a) Find PA (b) Find PB|A (c) Find PA and B (d) Choose one (are/are not) and (less/equally) The events A and B (choose one) are not independent because if the first component is defective, the second component is (choose one) less likely to be defective.
5359 pregnant women were tested to see if their babies had Down Syndrome (D). The results of the test are given in the table. Use the values in the table to answer parts a-c. a. Given that a test result is negative (NEG), what is the probability that the fetus actually has Down syndrome? P(D|NEG)= b. Given that the fetus has Down syndrome, what is the probability that the test result is negative? P(NEG|D)= c. Is P(D|NEG) equalt to P(NEG|D)? A. Yes, because P(NEG|D) deals with a much larger pool of fetuses than P(D|NEG). B. No, because P(NEG|D) deals with a much smaller pool of fetuses than P(D|NEG). C. No, because P(NEG|D) deals with a much larger pool of fetuses than P(D|NEG). D. Yes, because P(NEG|D) deals with a much smaller pool of fetuses than P(D|NEG)
You randomly select an integer from 0 to 7 (inclusively) and then randomly select an integer from 0 to 9 (inclusively). What is the probability of selecting a 3 both times?
Q:A bag contains 5 red balls, 88 white balls,4 green balls and 7 black balls. If one ball is drawn of random, Find the probability that it is: (i) black (ii)red (ii)not green
None
Defective components: A lot of 11 components contains 3 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places. (a) Find PA . (b) Find PB|A . (c) Find PA and B . (d) Are A and B independent? Explain.
A pet store has 10 puppies, including 3 poodles, 4 terriers, and 3 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random with replacement (they may both select the same one), find the probability that they both select a poodle. The probability is ______________ (Type an integer or a simplified fraction.)
EC2
Winston is shopping for a new bicycle. He is most interested in color and type of tires. Road bike tires Mountain bike tires Red Green 6. 9. What is the probability that a randomly selected bike is red or has mountain bike tires? Simplify any fractions.
Alejandro wants to adopt a puppy from an animal shelter. At the shelter, he finds four puppies that he likes: a male and female puppy from each of the two breeds of collie and Labrador. The puppies are each so cute that Alejandro cannot make up his mind, so he decides to pick the dog randomly. Find the probability that Alejandro chooses anything except a male collie or a male Labrador. The probability is (Type an integer or a simplified fraction.)

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