Defective components: A lot of 10 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 P(A)= (b) Find P(B|A)= (c) Find P(A and B)= (d) Are A and B independent? Explain.

Q: A: A box contains (5) red balls, (3) White balls ,and (2) blue balls, we draw two balls with return,…

A:

Q: Ans. 1/243, 10/243, 40/243, 80/243, Q.6 If 20 % of the bolts produced by a machine are defective,…

A: Given : Let X : No. of bolts produced by a machine are defective n=5 p=0.20

Q: RST MAV025015 N831056000 7.P(N)- &P(RON)- 9. Are events and 5 muy velve! Tee in Yor

A: Given P(R)=0.40 P(S)=0.41 P(T)=0.19

Q: A and B are two events. If P(A) =0.18, P(B) =0.33, P(A|B) =0.59 Find the P(A and B)

A: P(A) = 0.18 P(B) = 0.33 P(A|B) = 0.59 P(A and B) = ?

Q: A and B are events such that P(A) = 0.4 and P(B| A) = 0.7. Find P(A&B).

A: The formula for dependent event P (A and B) is given below:

Q: A and B are two events such that P(A) = 0.36, P(B) = 0.41, P(A or B) = 0.53 then What is P(A and…

A: Answer: From the given data, P(A) = 0.36 P(B) = 0.41 P(A or B) = 0.53

Q: P(A) =0.3 and P(A or B) =0.7, then what is P(B)  if events A and B are independent events?

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Q: An urn contains 3 red and 5 blue balls. Two balls are selected at random, one after the other,…

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Q: (b) Two dice are rolled by Kelly in a game. (1) List down the sample space. (ii) (iii) Find the…

A: The experiment is two dice rolled. The possible outcomes of the die rolled are as follows,…

Q: Determine P(B|A), If A and B are the events with P(A) = 0.34, P(B) = 0.26 and P(AUB) = 0.49

A: Answer: From the given data, P(A) = 0.34 P(B) = 0.26 P(A∪B) = 0.49

Q: If A and B are independent events P(A) = 0.24 and P(A or B) =0.68 Find P(B)

A: P(A)=0.24, P(A or B)=0.68

Q: Random sample of twenty students is selected, 15% of the students are female. what is the…

A: Solution: Let X be the number of female students. From the given information, n=20 and p=0.15. Here,…

Q: Hello. I appreciate any help. Thanks.

A: Given two events A and B, P(A) = 0.2P(B) = 0.3P(A U B) = 0.4P(A ∩ B) is the probability of event A…

Q: A and B are independent events P(A) = 0.25 and P(A and B) = 0.14 then, find P(B) ?

A: Answer: Given that, A and B are independent events P(A) = 0.25 P(A and B) = 0.14

Q: if 2 events A and B are independant and you know that P(A) = 0.75, what is the value of P(A|B)

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Q: Suppose P(A) = 0.28 and P(B) = 0.48 and A and B are independent. Events A and B are not disjoint.…

A: Answer is mentioned below

Q: Let A and B be events with P(A) = 0,700 and PLAN B)=0.300. For what value of P(B) will A and B be…

A: P(A)=0.700P(AB)=0.300

Q: Determine P(B|A), If A and B are the events with P(A) = 0.31, P(B) = 0.28 and P(AUB) = 0.51

A: Answer: From the given data, If A and B are two events, P(A) =0.31 P(B) = 0.28 P(A U B) = 0.51

Q: Suppose that A and B are two events. P(A) =0.32, p(B) = 0.41 and P(A and B )= 0.22 Calculate…

A: Answer: From the given data, Suppose that A and B are two events, P(A) = 0.32 P(B) = 0.41 P(A and B)…

Q: Suzan sees a bag of marbles; she grabs a handful at random. She has seen a bag containing 4 red…

A: 4 red marbles, 3 green ones,2 white ones,1 purple one

Q: A and B are two events. P(A) = 0.27, P(B) = 0.32, P(A Or B) = 0.45 Find P(B|A)? Round to 2…

A: Answer: From the given data, P(A) = 0.27 P(B) = 0.32 P(A or B) = 0.45

Q: Suzan sees a bag of marbles; she grabs a handful at random. She has seen a bag containing 4 red…

A: 4 red marbles,3 green ones,2 white ones,1 purple one.

Q: Left handed & right handed players on a baseball team Nominal Ordinal Interval Ratio

A: There are two types of data: Quantitative and Qualitative, Quantitative data is a set of values…

Q: A die is rolled. Find the probability of the given event. Write your answers as whole numbers or…

A: Answer: - A die is rolled.               The sample space S = {1, 2, 3, 4, 5, 6}              Find…

Q: If A and B are independent events P(A) = 0.2 P(A or B) =0.63 Find P(B)

A: Consider, If A and B are independent events, P(A)=0.26 and P(A or B)=0.63

Q: (a) Find the probabilities of the events below. Write each answer as a single fraction. P(A or B) =…

A:

Q: The Venn dia- The diagram Note that "La One student f Let A denote Let B denote Answer each

A: Solution

Q: When randomly selecting an adult, A denotes the event of selecting someone with blue eyes. What do…

A: Complementary events:   Let A denote an event defined, and then the complement of the event A is…

Q: let A and B be two independent events if P(A)=.74 and P(B)=.23 what is P(A|B)

A: Given that      A and B be two independent events     And          P(A)= 0.74        P(B) = 0.23 We…

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

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Q: A and B are two events, P(A)= 0.21, P(B)=0.32, P(A|B)= 0.61 Find P(A and B)

A: Answer: From the given data,   A and B are two events, P(A) = 0.21 P(B) = 0.32 P(A|B) =…