4. Consider two events A and B in a sample space. If P(A) = 0.55, P(B) = 0.2, and P(A^B) = 0.08, find the following: a) P(AUB) b) P(Ac) c) P(Bº) d) P(AB) e) P(BA) f) Are A and B mutually exclusive?

Q: 8. For two independent events A and B, P(A and B) =

A: Events A and B are independent if occurrence of one event doesn't depend on any other event.…

Q: 2.4 Let A and B be two events of the same sample space. If P(A|B) P(A) then the events A and B are…

A: Solution- Given that A and B are two events  P(A|B)=P(A)then the event A and B are always…

Q: In this exercise, a two-way table is shown for two groups, 1 and 2, and two possible outcomes, A and…

A:

Q: This is a contingency table showing the relationship between 2 internet use and income. Contindency…

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

Q: Let A, B C N be events in a sample space such that P(A) = .45, P(B) = .67, and P(ANB) = .23. Compute…

A: It is given that, P(A) =0.45 P(B) = 0.67 P(A∩B) =0.23

Q: Let A, B and C be events in a sample space S such that S= AUB. Suppose that P(A) = 0.4, P(B) = 0.5,…

A: Given that P(A)=0.4,P(B)=0.5 and P(A∩B)=0.4 Then the aim is to find P(Ac∪Bc)

Q: drawn at random and without replacement from a bag containing two blue chips and two red chips.…

A: Given: n(blue) = 2 n(red) = 2 n(total) = 4 n(drawn) = 2 A :Both chips are red.

Q: 9 - A survey conducted in a city revealed that 25% of the people do sports. 8 people are randomly…

A: We have given that  Sample size n=8 , p=25%=0.25  and  q=1-p=1-0.25=.75

Q: 4. The frequency table for the heights of 50 people is shown below: Height in Inches, X 68 69 70 71…

A: To find the Probability distribution of X , mean and variance of X

Q: 1) Given a sample space S = {1.2.3.4.5.6.7} and A = {1,3,5} , B= {2,3,4,5,6} find the following: a)…

A: Given that  Sample space S = { 1 2 3 4 5 6 7 } Number of elements in sample space = 7 A = { 1 3 5 }…

Q: 1.1 Let A and B be two events of the same sample space. If P(A) – 0.2, P(B) – 0.3 and P(AN B) – 0.1,…

A: As per our guidelines we are supposed to answer only one question per post so I am solving first…

Q: Let A and B are two evens of a sample space S and let P(A)=0.5, P(B)=0.7 and P(AUB)=0.9. i) Find the…

A: Given,P(A)=0.5P(B)=0.7P(A∪B)=0.9

Q: ( MM) = 0.16 2. P(NM ) = P(X=1) 3. P( NN ) = 0.63 4. P(X = 1) = 0.40 5. P( X= 0 )= 0.36

A: Let p be the probability that a student in Riyad University get married during study. Given that p =…

Q: a.  Given   P(A)  =  0.2,   P(B)  =0.3 and  P(A and B ) = 0.1              Find   (i)  P ( A or B )…

A: As per our guidelines we are suppose to answer first question . P(A)=0.2P(B)=0.3P(A∩B)=0.1

Q: 2 Suppose A and B are events in a sample space Q and that P(A) = , P(B) = ; and P(AN B) -) P(A|B) >)…

A: Given that PA=25P(B)=13P(A∩B)=110 c) P(A'|B)=P(A'∩B)P(B)               =P(B)-P(A∩B)P(B)…

Q: 1.) Experiment: Two six-sided dice are rolled. Find the following: a.) The sample space. b.) P(E1)…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: A survey study conducted in a city revealed that 25% of the population do sports. 8 people are…

A: The random variable sports follows binomial distribution. We have to use normal distribution as an…

Q: Let A and B be the two events of a sample S such that PLAUB) =0.90, P(ANB)=0.35,P(NA) = 0.30 Find…

A: By using the given information, we have Let A and B be the two events of a sample S

Q: 2.3

A: As per guidelines expert have to answer first question only dear student please upload other…

Q: .Suppose you are given the following information on eventsA,B, andD: P(A) = 0:4P(A[D) = 0:6P(AC) =…

A: Given: P(A)=0.4. P(B)=0.2. The objective is to identify whether events A and B are mutually…

Q: 12. The probability tree given below corresponds to an experiment that consists of two trials A and…

A: The question is about probability.Introduction :Probability :1 ) It is also known as chance of…

Q: 1.1 Let A and B be two events of the same sample space. If P(A) = 0.2, P(B) = 0.3 and P(An B) = 0.1,…

A: Given Let A and B be two events of the same sample space.

Q: The weights of five players on a football team are shown below. Player A B C D E Weight (lb) 290 310…

A: From the given information, Player A B C D E Weight (lb) 290 310 250 255…

Q: 4) Consider the following experiment: We roll two dice. Let the events E, is the sum of the top…

A: Frequency of a value of random variable is the number of times the value is repeated in the dataset.…

Q: 1. Suppose A and B are events in a sample space 2 and that P(A) = , P(B) = ; and P(AN B) = Calculate…

A: Given - let A  and B are events in a sample space . P(A) = 25    P(B) = 13 and  P ( A ∩ B) = 110 To…

Q: et A and B be two events in a sample space U, such that: P(A) = 0.55, P(B) = 0.25 and P(AuB) = 0.60…

A: a) The union probability for any two events A and B is defined as P(A ∪ B) = P(A)  + P(B) – P(A ∩…

Q: Two dices are tossed and the absolute difference of the two dices reading is calculated. a) Find the…

A: a) Suppose a two dice are tossed, then its sample space is written as follows:i.e.

Q: Given that A and B are two mutually exclusive events, find P(A ) if P(B) = 0.27 and (A or B) =…

A: given data  A and B are  mutually exclusive events P(B) = 0.27 P(A or B ) = 0.635 P(A) = ?

Q: Suppose A and G are events in the same sample space for some experiment. If we know Pr[A] = 0.7 and…

A: Thank you 😊

Q: Let A and B be independent events defined on the same sample space such that P(A U B)= 0.6 and P(B)…

A: Given ,P(AUB)=0.6P(B)=0.2and A, B  are independent events.

Q: If you have the sample space of (5,6,7,8,9,10,11,12,13,14), what is the probability of getting a…

A: Sample space S= {5,6,7,8,9,10,11,12,13,14} n(S) = 10 numbers greater than 10 in S, denoted by E = {…

Q: Let A and B be two arbitrary events in a sample space S. P(A'|B) + P(A|B) = ? a. o. P(A|B') + P(A’|…

A: P(A'|B)+P(A|B)

Q: 5. Given that P(A) = .6,P(B) a. Find P(A n B). .8, and P(A|B) = = .4. %3D b. Find P(B|A). c. Are the…

A:

Q: 1.3 Let A and B be two events of the same sample space. If A and B are independent and P(A) = 0.5…

A: Given,P(A)=0.5P(A∩B)=0.1and A , B are independent events

Q: - A fair coin is tossed three times (consecutively). If X is the number of heads of the first shot…

A: Given that a fair coin is tossed three times. The total number of outcomes is 23=8. Let X is the…

Q: Q1. A sample space consists of five simple events with Consider the events defined as follows Find…

A:

Q: Question 6 Given two events, A and B, with P(A)=,7 and P(B)= .2, find P(AnB) if you also know that.…

A: Reviewing information, P(A)=0.7 P(B)=0.2

Q: Let A and B are events of an experiment and P(A) = 1/4, P(AUB) = 1/2 then value of P(B/AC) is

A:

Q: If A and B are events in a sample space S, then P(AUBC) is equal to P(AnB) +P(A°) P(AnB) +P(A°)…

A:

Q: Let P(A) = 20 and P(B) = .04. Also events A and B are independent. Find a. P(A/B) b. P(BAS) C.…

A: It is given that the events A and B are independent such as  P(A) = 0.20P(B) = 0.64