✓ 3✓4Part: 0 / 4Part 1 of 4Find P(A) =Skip Part✓ 5Check✓ 6X 7믐✓8XDefective 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 (BIA).(c) Find P (A and B).(d) Are A and B independent? Explain.✓91431 1✓ 10S✓ 11= 12MacBook Air= 13✓ 1415Save For LaterEspañol✓168000illoSubmit Assignment2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility:

To find the probability of 2 events

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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.
: If you draw a card from a regular deck of 52 cards, what are the chances that your card wouldbe:(a) Red?(b) A heart?(c) A queen?(d) The queen of hearts?Your answer may be short but you must show what numbers you multiplied/divided/added/subtracted by to get your final answer. It would be written in ” P(E) = ” form.
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)
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.)
A spinner has 10 equally sized sections, 8 of which are gray and 2 of which are blue. The spinner is spun twice. What is the probability that the first spin lands on gray and the second spin lands on blue ? Write your answer as a fraction in simplest form.
A bag contains 9 marbles: 2 are green, 4 are red, and 3 are blue. Ryan chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles he chooses are blue? Write your answer as a fraction in simplest form.
The table shows the socks that are in your sock drawer. You randomly choose one sock, put it on your left foot, then choose another. Socks in a drawer White 婴 Black Green Blue Yellow "1" T (a) Find the probability of the compound event of choosing a black sock and then a white sock. (Enter your probability as a fraction.)
Suppose that events A and B are mutually exclusive with P(A) = 1 2 and P(B) = 1 6 . (Enter your answers as fractions.) (a) Are A and B independent events? Explain how you know. Since the events are mutually exclusive we know P(A|B) = which P(A) and thus the events are . (b) Are A and B complementary events? Explain how you know. We know that P(A) + P(B) = . And, since P(A) + P(B) 1, the events A and B complementary events.
A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning heads on the first toss, followed by two tails). The 8 outcomes are listed below. Assume that each outcome has the same probability. Complete the following. Write your answers as fractions. (a)Check the outcomes for each of the three events below. Then, enter the probability of each event. Outcomes Probability HHH HHT HTH HTT THH THT TTH TTT Event A: The first toss is heads Event B: More heads than tails Event A and B: The first toss is heads and more heads than tails (b)Suppose the first toss is heads. (That is, Event A occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event B . Then, enter the probability that Event B occurs given…
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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