The percentages of all teenage offenders are in the following categories: Group A Group B 28 Non-offenders First time offenders Repeat offenders 42 15 3 Total-100 7 Suppose a teenager is chosen at random and the following events are defined: (A) Teenager is from Group A (B) Teenager is from Group B (C) Teenager is not offender (D) Has committed at least one offence (E) Find the following probabilities: (i) P(c) (ii)p(A U D) (ii)p() (iv) p (÷)

Q: A random experiment has the four outcomes {a,b,c,d) with probabilities p(a)=0.2, p(b)=0.3 and…

A: Given that: Four outcomes of an experiment = {a,b,c,d}  Probability of each outcome:…

Q: Let A and B be two events in a sample space S such that P(A) = 0.5, P(B) = 0.6, and P(A  B) = 0.15.…

A:

Q: Two events, A and B, are said to be independent if: a. Р(BA) 3D Р(А) b. РАВ) — Р(В) c. P(An B) = PA)…

A: Condition for independence: If A and B are two events, then P(A and B)=P(A)*P(B). Consider option a)…

Q: Test the claim that the mean GPA of night students is larger than the mean GPA of day students at…

A: Given n1=25 X1bar=2.48 S1=0.07 n2=30 X2bar=2.46 S2=0.05

Q: If A and B are events with P(A)=0.4, P(A OR B)=0.96, and P(A AND B)=0.14, find P(B). Enter your…

A: P(A)=0.4P(A or B)=0.96P(A and B)=0.14

Q: Suppose A and B are events in a sample space with P(A) = 0.6, P(B) = 0.65, P(BUA) = 0.84 Find the…

A:

Q: If two events, A and B, are such that P(A) = 1/6, P(B) = 1/9, and P(An B) = 1/70, find the following…

A:

Q: A sample space consists of five simple events with P(E₁) = P(E₂) = 0.2, P(E) = 0.45, and P(EA) =…

A:

Q: Which of the following events are independent, given P(A),P(B), and P(A and B)? A. P(A) = 0.3; P(B)…

A: We have to check

Q: If A and B are events with P(A)=0.6, P(A OR B)=0.98, P(A AND B)=0.02, find P(B).

A:

Q: Given P(A) = 0.31, P(B) = 0.98, P(C) = 0.97 and that events A, B, and C are independent, what is…

A:

Q: If A and B are two mutually exclusive events with P(A) = 0.6 and P(B) = 0.2, find the following…

A: Given that  P(A)=0.6 , P(B)=0.2 Events A and B are mutually exclusive events  Note: According to…

Q: Given P(A) = 0.62, P(B) = 0.78, P(C) = 0.61 and that events A, B, and C are independent, what is…

A:

Q: A,B and c are events: P(A)=.35, P(B)=.45, P(C)=.55. Which of these events, if any could be…

A: The probability of event A (say) and the probability of its compliment is equal to 1.

Q: Given P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085, and that events A, B, and C are mutually…

A: P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085 Events A, B, and C are mutually exclusive

Q: given p(a)=0.23, P(B)=0.05, P(C)=0.65 and that events A,B and C are independent, What is P(A,B, and…

A: given p(a)=0.23, P(B)=0.05, P(C)=0.65 and that events A,B and C are independent, What is P(A,B, and…

Q: Let A and B two events with P(A) =0.25 and P(B) =0.45 and P(A n B) = 0.1 then P(Ā N B) = 0.35. O…

A: The given probabilities are PA=0.25,PB=0.45,PA∩B=0.1. Now, PA¯∩B=PB-PA∩B=0.45-0.10=0.35=True Thus,…

Q: Suppose A and B are events in a sample space with P(A) = 0.61, P(B) = 0.66, P(BUA) = 0.93 Find the…

A:

Q: 87. A company manufactures coats at a cost of $20 each. The following are probabilities of defective…

A: The number of defective in the batch if 1% are the defective coats.  4000(0.01) = 40 The number of…

Q: A random experiment has the four outcomes {a,b,c,d) with probabilities p(a)=0.2, p(b)=0.3 and…

A: Answer is 1 1. 0.4 2. 0.5 3. 0.8 4. 0.5 5. 1  6. 0.3

Q: Given P(A) = 0.141, P(B) = 0.130, and P(C) = 0.057, and that events A, B, and C are mutually…

A: P(A) = 0.141 P(B) = 0.130 P(C) = 0.057 Events A, B, and C are mutually exclusive i.e.…

Q: If A and B are independent events with P(A) = 0.1 and P(B) = 0.4, then P(A or B) is a. 0.46 O b. 0…

A: P(A) =0.1P(B) =0.4

Q: If P(A) = 0.30, P(B) = 0.20, P(A and B) = 0.09, what can be said about events A and B? Events A & B…

A: It is given that, P(A) = 0.30, P(B) = 0.20 and P(A and B) = 0.09.

Q: In a newspaper poll concerning violence on television, 603 people were asked, "What is your opinion…

A: Note According to the Bartleby guidelines expert solve only one question and rest can be reposted.

Q: Let a&b be events with p(a)=0.2,p(b)=0.8, & p(b/a)=0.3. Find p(a&b)

A: Given Information: A and B are two events. P(A) = 0.2, P(B) = 0.8, P(B|A) = 0.3 To find the…

Q: Suppose A and B are two events with probabilities: P(A) = .50, P(B) = .40, P(A N B) = .25. a) What…

A: Given P(A)=0.5P(B)=0.4P(A∩B)=0.25 Formula of conditional probability A given B is:P(A/B)=P(A∩B)P(B)…

Q: A and B are both events in sample space S.   P(A)=0.4 P(B)=0.3 P(A and B) =0.2   What's the…

A: A and B are both events in sample space S. Given, P(A)=0.4 P(B)=0.3 P(A and B) =0.2

Q: Suppose that A and B are two events for which P(A)=0.17, P(B)=0.71, and P(B|A)=0.39 Find each of the…

A:

Q: et a,b,c be three events and suppose you have the following probabilities    p( a u b u c ) = .73…

A: For three events A, B and C, we know that  P(A∪B∪C)=P(A)+P(B)+P(C)-P(A∩B)-P(B∩C)-P(A∩C)+P(A∩B∩C) we…

Q: 2. If P(A) = 0.8, P(B) = 0.5, P(AUB) = 0.9, are events A and B independent events? Why or why not?…

A: P (A) = 0.8P (B) = 0.5P(A U B) = 0.9We need to find whether A and B are independent events.

Q: Let A, B, and C be events of some sample space. You are given the following probabilities:…

A: Result: A nd B are mutually exclusive iff P(A⋂B)=0 If A and B are independent iff P(A⋂B)=P(A)xP(B)…

Q: If A and B are independent events and P(A) = 0.2, P(B) = 0.6 then P(A-B) is: Select one: a. 0.6 b.…

A: Given that A and B are independent events. This means: P(A and B)=P(A)P(B)= (0.2)(0.6)=0.12

Q: Given P(A) = 0.78, P(B) = 0.49, P(C) = 0.45 and that events A, B, and C are independent, what is…

A: Given, P(A) = 0.78 P(B) = 0.49 P(C) = 0.45  that events A, B, and C are independent.       To find,…