For two independent events A and B, if P(A O B) = 0.0048 and P(B) = 3P(A), then P(A) is equal to: 0.2 O 0.04 0.7 None of these

Q: 1. Find probability P(X; 2), using the Poisson formula for P(5;4).

A: Poisson Distribution: A discrete random variable X is said to follow Poisson distribution with…

Q: Based on her experience, a professor knows that the probability distribution for X number of…

A: Consider the given information.

Q: For two independent events A and B, P(A) = 0.4 and P(B) = 0.15. What is P(A or B)? 0.06 0.40 0.49…

A:

Q: Consider two independent events A and B such that P(A) = 0.5 and P(B) = 0.6, what is P(AUB)? %3D

A: Given that A and B are independent events. Thus, P(A n B) = P(A)P(B) = 0.5*0.6 = 0.3

Q: Suppose n(S) = 40, n(E) = 6, n(F) = 14, and n(E ∩ F) = 2.  a) What is the probability of either E or…

A: (a) Obtain the probability of either E or F occurs. The probability of either E or F occurs is…

Q: C and D are two events with P(C)=0.4,P(D)=0.5, and P(C|D)=0.4. Calculate P(D|C). Give your answer…

A: Given, C and D are two events with P(C)=0.4, P(D)=0.5, and  To find:

Q: A and B are independent events. If Pr[A]=0.5 and Pr[B]=0.7, what is Pr[A∩B′]?

A:

Q: The P(A)=0.48P(A)=0.48 and the P(B)=0.06P(B)=0.06. Events AA and BB are mutually exclusive. What is…

A: Given, P(A)=0.48 P(B)=0.06 P(A or B)=?

Q: Suppose that a LED bulb has a defective rate of 0.0004. What is probability that four bulbs need to…

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Q: For number 5: Based on a hamster breeder's experience, the number of live pups in a litter of a…

A: Given prob. distribution is X=x 3 4 5 6 7 8 9 P(X=x) 0.04 0.10   0.31 0.22 0.05 0.02

Q: A1. b. In a town with 10,000 populations, they got a call to test a certain disease that has an…

A: Given : Total Population = 10,000 Incidence rate = 4% Therefore, Probability that the person has…

Q: Given that P(E) = 0.8, what must be true about the event E?

A: P(E) = 0.8

Q: Question * For two independent events A and B, if P(A OB) = 0,049 and P(A) = 10P(B), then P(A) is…

A: We have given that,  We have two independent events A and B and P(A∩B) = 0.049 and P(A) = 10P(B)…

Q: 7-The probability that the event P(E) will accur is between a- 0<P(E) <1 b- 0≤P(E) ≤1 C- 0≤P(E) <1…

A:

Q: Suppose that A and B are events for which P(A) =0.2, P(B)=0.3, and P(A ∩ B)=0.08. find each of the…

A: It is given that A and B are two events. P(A) =0.2 P(B)=0.3 and P(A ∩ B)=0.08

Q: 1x* If the Event A must occur with certainty, then the probability of this event is in between O…

A: Given: If the Event A must occur with certainty, then the probability of this event is in between 0…

Q: For two independent events A and B, if P(AN B) = 0.0048 and P(B) = 3P(A), then P(A) is equal to: O…

A:

Q: Suppose the following Question expression is given: P(X5=3|X4=3,X3=3,X2=1,X1-4, X0=1). a) Write down…

A: This problem is based on the markovian property. Markovian property says that future is independent…

Q: Compute the probability of each of the following events: (a) X< 1.5 (b) XY even (c) Y is even given…

A:

Q: Compute the probability of each of the following events (i) X <1 1/2 (ii) XY is even

A:

Q: The theoretical probability of event E, denoted by_______ , is the________ divided by the_______.

A:

Q: when 3 coins are tossed if Arepresent an event that appears at most re, the complement of the event…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: For a random variable X, suppose that E[X]=4 and Var(X)=7. Then (a) E[(5+X)2]=  (b) Var(2+6X)=…

A: Given that, E(X) =4 Var(X) =7

Q: Given a Continuous Uniform probability distribution with a=0 and b=1. What would be the probability…

A: Given that a continuous uniform probability distribution with a=0 and b=1

Q: For a random variable X, (E(X))² can be greater than E(X²).

A: We have to find statement is true or false.

Q: If A and B are any two events with P(A) = .3 and P(BIA) = .5, then the joint probability of A and B…

A: Solution-: Given: P(A)=0.3, P(B/A)=0.5  We want to find P(A and B)=?

Q: Q3: A- If approximately 2% of 200 engineering students are left-handed, find the probability that…

A: From the given information we find the solution.

Q: If the Event A must occur with certainty, then the probability of this event is in * .(between O and…

A:

Q: Let X and Y be the two possible events of an experiment where, p(X) = 0.5, (XUY) = 0.9 and p(Y) = p.…

A:

Q: Let A and B denote the events that the earthquake magnitude is low and the road debris is moderate.…

A: let, A=Earthquake magnitude is low B=Road debris is moderate

Q: Consider three independent events, A1,A2,A3, and let Pi = P(Ai) for i = 1,2,3. Express the…

A: # Given : events A1,A2,A3 with probability P1,p2,p3 then to find probability that at least one of…

Q: Suppose that AA and BB are two independent events for which P(A)=0.18 and P(B)=0.8 . Find each of…

A: Two events A and B are said to be independent if; P(A and B)=P(A)×P(B)

Q: b. Use the fact that the total probability is equal to 1 to create a formulafor P(X = 3) in terms of…

A: Given information:Discrete random variable:If the variable X takes finite or countable values, then…

Q: Given a Continuous Uniform probability distribution with a=0 and b=1. What would be the probability…

A: In continuous probability distribution Probability of exact value is zero

Q: A and B are independent events. If Pr[A]=0.3 and Pr[B]=0.7, what is Pr[A∩B′]?

A: From the provided information,

Q: Let E and F be independent events with P(E) = 0.15 and P(F) = 0.2. What is the probability that at…

A: Given: PE=0.15PF=0.2 E and F are independent events, so: PE∩F=PE×PF=0.15×0.2=0.03

Q: A and B are independent events. If Pr(A n B) = 0.16 and Pr[A] = 0.2 what is Pr[B]?

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

Q: For a given event, A, P(A) = 0.34.  For a second given event, B, P(B) = 0.44.  Additionally, P (A ⋃…

A:

Q: If X is a random variable with a probability distribution function as ģiven in the following table,…

A: The E(X2) can be calculated as E(X2) = ∑x2·fx

Q: For this problem, assume that Pr[A∪B]=0.85 and Pr[A]=0.5Pr[A]=0.5. What is Pr[B] if A and B are…

A:

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: A sample of n = 100 scores is selected from a normal population with µ = 75 and σ = 11. The…

A: Given data n=100μ=75σ=11M=78

Q: III. For the experiment of rolling a single fair die, find the probability of each event. a) not…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Consider the following two events for a randomly selected adult: Y = N = this adult has shopped on…

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Q: Given P(A) = 0.607, find the probability of the complementary event. %3D 0.376 None of these 0.393…

A: Given: The value of P(A)=0.607. The complementary event of A is defined as an event that A does not…

Q: The two events E and F are independent with P(E) = 0.25 and P(F) = 0.35. Find P(E ∪ F).

A: GivenE and F are independentP(E)=0.25P(F)=0.35