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) Are A and B independent? Explain d) Find P(A|B)

Q: Q5. A bag contains 9 white balls and 6 black balls. If a ball is chosen without looking, what is the…

A: As per our guidelines we are suppose  to answer only one question5)GivenNo.of white balls = 9No.of…

Q: Two cards are selected with replacement from a standard deck of 52 Find the probability of selecting…

A: the probability of selecting a 4 and then selecting a 5 selecting a 4 have  4 possible cases…

Q: Suppose P(E) = 0.3, P(F) = 0.5, and P(E or F) = 0.7. Are the events E and F are mutually exclusive?…

A: It is given that P(E) = 0.3 and P(F) = 0.5.P(E) + P(F) = 0.3+0.5 = 0.8.

Q: test is conducted with 25 multiple choice questions. Each question has 3 possible choices, so the…

A: n=25,p=13Let p be the probability of student gets any of the questions right.X be the number of…

Q: For two events A and B, P(A) = .4, P(B) = .2, P(A|B) = .6. a. Find P(AN B). b. Find P(B|A).

A: Given data,P(A)=0.4P(B)=0.2P(A|B)=0.6

Q: C. The probability that the the child will be older than 5 years old? | 0.8681 d. The probability…

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Q: Find the probability of each reading ((using the Normal Distributrion Table). a) P ( z > -1.4) b)…

A:

Q: d. For n=6 and x=0.87, what is P(X= 5)?

A: n=6,π=0.87X~Binomial(n=6,π=0.87)

Q: (d) What is the probability that each person wins one match? (Hint: There are two different ways for…

A:

Q: Let A and B be events with PA) = 0.65 , AB) = 0.52, and PB|A) = 0.63 . Find PA and B). Write only a…

A: Obtain the probability of P(A and B).   The probability of P(A and B) is obtained below as follows:…

Q: The probabilities that fast – food restaurant sells 10, 20, 30, 50, 100 burgers daily are 0.20,…

A:

Q: Using Kane's simulation, what is the probability of rolling a 2 on the number cube and the coin…

A: Total number of rolls= (18+32+12+25+3+10)=100 so probability of getting 2= 32/100 P(getting 2)=…

Q: Given the prob of a salesman making a sell for a call is 0.4. These are independent events. If a…

A: Formula : Binomial distribution is given by

Q: Are the two events in each scenario mutually exclusive or not? Explain. d) Walking from home to…

A: If the occurrences of both events cannot occur same time, then the events can be called as mutually…

Q: Q30. The probability of selecting a rotten apple randomly from a heap of 900 apples is 0.18. What is…

A:

Q: Consider a gambler who at each gamble is equally likely to either win or lose $1. Suppo that the…

A: From the given information, Each gamble is equally likely to either win or lose $1. P(1)=P(-1)=1/2…

Q: a) Write and draw the probability distribution of the face that appears when a dice is rolled.…

A: Note: " Since you have asked multiple question, we will solve the first question for you. If you…

Q: Probability is the same as  a) Proportion  b) Unlikely  c) Variance

A: Probability:The probability of an event is the chance of occurrence of that event. The probability…

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Q: Miguel is a golfer, and he plays on the same course each week. The following table shows the…

A: c) The probability of a successful long hit is 0.4. If the long hit is successful, his expected…

Q: Fourth: explain the difference between Bayes’ Theorem and Bayes’ Rule. Fifth: construct and solve a…

A: As per given by the question, the difference between Bayes’ Theorem and Bayes’ Rule. Now, Fourth:…

Q: Suppose that E and F are two events and that N(E and F)=420 and N(E)=740. What is P(F|E)?

A:

Q: When randomly selecting​ adults, let M denote the event of randomly selecting a male and let B…

A: For two events A and B, the conditional probability A given B is defined as P(A|B), which defines…

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: For two independent events A and B, P(A) = .4 an P(B) = .2. a. Find P(AB). b. Find P(A|B). c. Find…

A: From the provided information, P (A) = 0.4 and P (B) = 0.2 The events are independent.

Q: Leo is a very average golfer. The probability that he hits a bad shot at any time is 0.4,…

A: Given that p =0.4 , n=5,k=1

Q: A number is drawn at ramdom from a box. There is a 20% chance for it to be less than 10. There is…

A: A number is drawn at ramdom from a box. There is a 20% chance for it to be less than 10. There is…

Q: What is the value of Σ(X2 + 2) for the following scores? Scores: 9, 10, 8, 6, 5, 9, 6, 5 a. 450…

A: