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.

Q: Which of the following numbers could be the probability of an event? 0.25, - 0.48, 1.47, 0, 1, 0.02…

A: According to the given information, we have The numbers are as follows: 0.25, -0.48, 1.47, 0, 1,…

Q: Given P(A) = 0.53, PLB) = 0.34, and the fact that e vents A and B are independont wha t is PlA and…

A: According to the given information, we have P(A) = 0.53 P(B) = 0.34 Events A and B are independent.

Q: What is the probability that an 8-digit driver's license number chosen at random will not have 4 as…

A: Given Data: The number of digits in the license number is: n=8 The possible number of ways is,…

Q: An athlete enters three track and field events. She has a 0.7 probability of winning the 100–meter…

A:

Q: A student goes to the library. Let events B = the student checks out a book and D = the student…

A: Let define the events: B = the student checks out a book   D = the student check out a DVD The known…

Q: Let A and B be two events such that p(A) = 0.4 and P(BA) = 0.2. Then P(BnA) = 0.4 0.7 0.6 0.5

A:

Q: All events are dependent. Find the probability in question. 1. P (A)=, P (BA) = find P(A and B) = =…

A:

Q: An ice-cream company did a study on preferred ice-cream flavor. The results of the study are shown…

A: a. The contingency table is,   Vanilla Chocolate Other Total Children 3 2 1…

Q: Suppose a jar contains 15 red marbles and 26 blue marbles. If you reach in the jar and pull out 2…

A: To find: The probability that both are red marbles.

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: Which of the following numbers could be the probability of an event? 1, - 0.42, 1.14, 0, 0.27, 0.03…

A: Solutions

Q: Use the Test for Independence to determine if events A and B are independent. 6 6 P(A) = 7, P(B) =…

A: given;P(A)=67P(B)=17P(A∩B)=649

Q: Petroleum pollution in oceans stimulates the growth of certain bacteria. An assessment of this…

A: x¯ = ∑xn

Q: Suppose the odds against winning the lottery are 46,000,000 to 1. What is the probability of the…

A: Given that the odds against winning the lottery are 46000000 to 1 .

Q: A student goes to the library. Let events B = the student checks out a book and D = the student…

A:

Q: use the information on the data table to decide  are the events 'wild-caught' and 'come from…

A:

Q: Which of the following numbers could be the probability of an event? 0, 1.24, 1, -0.43, 0.05, 0.27…

A: According to the given information, we have Given numbers are: 0, 1.24, 1, -0.43, 0.05, 0.27

Q: A password consists of two distinct numbers chosen from the set (0,1,.,5), and two distinct letters…

A: Solution: We have to find out answer of given question....

Q: Explain how the complement can be used to find the probability of getting at least one item of a…

A:

Q: select one puppy at random with replacement (they may both select the same one), find the…

A: No.of poodles=4 No.of terriers=5 No.of retrievers=2 Total puppies=11

Q: Morning Donuts has a variety of donuts for sale.   maple donuts 14 cake donuts 15…

A: The objective of this question is to find the probability of selecting a maple donut from a variety…

Q: Find the probability of getting 6 face cards (king, queen, or jack) when 6 cards are drawn from a…

A: We have given that the 52 cards of a standard deck. Total face card = 12

Q: A student goes to the library. Let events B = the student checks out a book and D = the student…

A: We have given that,  P(B) = 0.56, P(D) = 0.95 and P(B AND D) = 0.39. Then, We will find P(D|B) = ?

Q: (A) Find the probability that at least 1 ball was red, given that the first ball was replaced before…

A: A box contains 4 red and 2 white balls.  (A)  Find the probability that at least 1 ball was red,…

Q: If one card is drawn from a deck, find the probability of getting these results. Enter your answers…

A: We have to find out given probabiity..

Q: Since there are 36 total outcomes, and 2 of these outcomes are favorable to a sum of 3, we get the…

A: ###1- We know,  the formula for the probability of an event with equally likely outcomes is…

Q: 2. Draw one card at random from a standard deck of 52 cards. Assume that the cards are equally…

A: A = {x: x is a jack, queen, or king}B= {x: x is a 9, 10, or jack and x is red} C= {x: x is a club}…

Q: Which of the following numbers could be the probability of an event? 0.07, -0.53, 1, 0.28, 0, 1.54…

A: From the provided information, The numbers are as follow: 0.07, -0.53, 1, 0.28, 0, 1.54

Q: The Addition Rule says that P(A or B) = P(A) + P(B). What must be TRUE about events A and B for this…

A:

Q: Which of the following numbers could be the probability of an event? 0, - 0.53, 0.3, 0.01, 1, 1.55…

A: Given data is 0,-0.53,0.3,0.01,1,1.55

Q: When tossing a coin, what is the probability of tossing three heads in a row? write your answer in…

A: Answer: From the given data, When tossing a coin, There will be two outcomes. Either a head or a…

Q: An urn contains 10 balls: 4 red and 6 blue. A second urn contains 16 red balls and an unknown number…

A: Given: An urn contains 10 balls: 4 red and 6 blue. A second urn contains 16 red balls and an unknown…

Q: 5359 pregnant women were tested to see if their babies had Down Syndrome (D). The results of the…

A: