Forty percent of students study more than 4h for their final math exam. Twenty percent of students fail the exam. If studying more than 4h and failing the exam are independent events, what percent of those who study more than 4h for the exam fail it? O 15% O 10% O 8% 0 4.5%

Q: Identify events that are mutually exclusive and collectively inclusive. (mutually exclusive- ME)…

A: 1) Let us take two letters A and B.  We will select one letter from A and B.  A and B are…

Q: Determine whether the statement is true or false. If it is false, rewrite it as a true statement. If…

A: Solution: Mutually exclusive or Disjoint events:  Let A and B are two events of sample space S then…

Q: Q. 3 If A and B are two events associated with an experiment and P(A) = P(AUB) = and P(AN B) = Find…

A:

Q: When 2 events (A,B) are independent, what is the probability of their union? a.) P(A) + P(B) b.)…

A: Let us consider two events A and B.   Consider A and B are independent events.

Q: Decide whether or not the two events in question are independent or whether it is not possible to…

A: Consider two events, A and B. Independent Events: The events A and B are said to be independent, if…

Q: Decide whether or not the two events in question are independent or whether it is not possible to…

A: Two events A and B are said to be independent if,

Q: Decide whether or not the two events in question are independent or whether it is not possible to…

A: Independent events: If A and B are independent, then P(A and B)=P(A)×P(B)

Q: Half of a class took Form A of a test, and half took Form B. Of the students who took Form B, 39%…

A:

Q: Decide whether or not the two events in question are independent or whether it is not possible to…

A: Two events C and D are said to be independent if,

Q: For two events, A and B, P(A) = .5, P(B)= .4, and P(ANB) = .2. a. Find P(A|B). b. Find P(B|A). c.…

A: It is given that P(A)=0.5, P(B)=0.4 and P(A∩B)=0.2.

Q: 31

A: Hi! Thank you for posting the question. Since your question has more than three sub-parts, we have…

Q: Thirty four percent of us adults have very little confidence in newspapers. you randomly select…

A: Thirty four percent of us adults have very little confidence in newspapers. Probability = 34% = 0.34…

Q: Consider two events with P(A)=.4, P(B|A)=.5 and P(A or B)=.7 a) find P(A and B)= b) find P(B)= c)…

A: The provided information are:…

Q: Q2/A class contain 10 men and 20 women of which half the men and half the women have brown eyes.…

A: The probability basically gives the chances of occurrence of an event numerically. In probability…

Q: A bag contains 3 red marbles, 4 blue marbles, 6 orange marbles, 7 green marbles. Four marbles are…

A: Given that A bag contains 3 red marbles, 4 blue marbles, 6 orange marbles, 7 green marbles. Four…

Q: Suppose that E and F are two events and that P(E) = 0.3 and P(F|E) = 0.6. What is P(E and F)? P(E…

A: We have to find p( E and F)

Q: Are the events "The person is 35 or under," and "The person wears glasses," dependent or…

A: The data is given by   35 or under Over 35 Total Glasses 22 20 42 Not glasses 27 31 58…

Q: In each of Exercises, decide whether or not the two events in question are independent or whether it…

A: If two events A and B are independent then,

Q: The addition rule P(E or F)=P(E)+P(F) applies only to which type of events? a. Complementary b.…

A:

Q: In each of Exercises, decide whether or not the two events in question are independent or whether it…

A: Independent event

Q: Two events, A and B, are such that P(A∪B) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine (i) P…

A:

Q: For two independent events, A and B, P(A) = .3 and P(B)= .5. a. Find P(ANB)=| b. Find P(A|B)=|

A:

Q: Suppose that E and F are two events and that P(E)= 0.8 and P(F|E) = 0.3. What is P(E and F)? .....…

A:

Q: Q. 3 If A and B are two events associated with an 3 experiment and P(A©) =, P(A U B) = and P(A N B)…

A: Formulae : P( Ac ) = 1 - P( A ) P( A ∪ B ) = P( A ) + P( B ) - P( A ∩ B )  P( Ac ∩ B ) = P( B ) -…

Q: Assume you are given a five-question multiple-choice quiz.  Each question has 5 possible answers:…

A: it is given that , There are 5 multiple choice questions and each question has 5 choices that is…

Q: The probability of Christine getting a new job or going on vacation (or both) is .85. If the…

A: P(getting a new job or going on vacation ) = 0.85 P(going on vacation) = 0.10 P(getting a new job) =…

Q: At Greenriver, 20% of the students take Math during a quarter, 40% take Physics during the same…

A: Formula  : P(A u B) = P(A) + P(B) - P(A n B)

Q: Decide whether or not the two events in question are independent or whether it is not possible to…

A: Independent Events: The events A and B are said to be independent, if the result of one of the…

Q: Decide whether or not the two events in question are independent or whether it is not possible to…

A:

Q: Write your answer as a fraction reduced to lowest terms and as a percent rounded to the nearest…

A: When a coin is tossed then there are 2 possible outcomes.The probability of tossing a coin and it…

Q: Decide whether or not the two events in question are independent or whether it is not possible to…

A:

Q: Events A and B are independent, with P(A) = 0.16 and P(A and B) = 0.08. What is the value of P(B)?

A:

Q: Edward has to take a five question multiple-choice quiz in his sociology class. each question has…

A: Binomial probability refers to the probability of exactly x successes on n repeated trials in an…

Q: A and B are independent events, and P(A)= 0.7 and P(B)= 0.2. what are the values of the following:…

A: GivenP(A)=0.7P(B)=0.2A and B are independent

Q: Determine if events A and B are independent. 7 P(B) = 20 1 277 !; P(A) = Р(A U B) — 2. %3D 400

A:

Q: Given P(A) = 0.2, PP(B c )= 0.4 and P(A|B) = 0.3, a). Can events A and B be mutually exclusive?…

A: Given: P(A) = 0.2, P(B)= 0.4, P(A|B) = 0.3

Q: Which of the following equalities does not imply that the events A and B are independent??

A: Here use property of independent event

Q: Fiven Pr[E] =.25 and Pr(E u F) = .55, determine Pr[F]. (if the events are independent.

A: Given dataPr(E) = 0.25Pr (E u F) = 0.55If the events are independent

Q: Decide whether or not the two events in question are independent or whether it is not possible to…

A:

Q: In each of Exercises, decide whether or not the two events in question are independent or whether it…

A: The necessary condition for any two events A and B are said to be independent is,

Q: Decide whether or not the two events in question are independent or whether it is not possible to…

A:

Q: Decide whether or not the two events in question are independent or whether it is not possible to…

A: Given data, P(B) = 5/8  P(B| A) = 1/3

Q: Two events, A and B, are such that P(AU B) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine (i) P (An…

A: Solution: a. From the given information,

Q: Suppose that E and Fare two events and that N(E and F)- 370 and N(E) = 760. What is P(F|E)? 0.487…

A:

Q: c. A multiple-choice test consists of 15 questions each with five possible answers of which only one…

A:

Q: Determine if events A and B are independent: P(A) = 0.6 P(B) = 0.8 P(A ∩ B) = 0.2

A: Given,   The objective is to determine if events A and B are independent.

Q: The two events A and B are independent with P(A) = 0.1 and P(B) = 0.05. Then P(An B) = 0.595 O 076…

A: For any two independent events A and B,PA∩B=PA×PB

Q: Sixty four percent of U.S. adults drink coffee. In a random sample of 17 adults, what is the…

A:

Q: In each of Exercises, decide whether or not the two events in question are independent or whether it…

A: