Two numbers x and y are selected at random between 0 and 1. Let the events A, B and C be defined as follows: A (x> 1/3), B = (y> 2/3} and C= (x> y). Please find the probability of A given C. Оa. 1/4 Ob. 3/4 Oc. 5/9 d. 8/9

Q: 12. A marble is drawn at random from a bag. Find the probability that the marble is black if the bag…

A: To find: The probability that a marble is black

Q: Two engines (one old and one new) fail independently of one another. The probability that both…

A: Independent events: Those two or more events are considered independent events if the appearance of…

Q: A pharmacist receives a shipment of 22 botries of a drug and has 3 of the bottles tested.4 of the 22…

A: Obtain the probability that exactly 1 of these tested bottles is contaminated.   The probability…

Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…

A:

Q: Consider 92 independent observations. The probability of event A in a particular experiment is 0.03.…

A: From given we have : Event A happens in a particular experiment is 0.03 P(A)=0.03   Therefore, the…

Q: Q.2 the probability that a missile hit the target is 0.90. If three missile of this type has been…

A: let X be the hit the target n=3, p=0.90 X~B(3,0.90) (1) P(X>=2)= ?  (2) P(X=2)= ?

Q: Find the probability of at least 2 female visitors in 19 visitors to Mt. Rainier National Park.…

A: Given that male and female visitors are equally likely. That is, P(male)=P(female)=1/2=0.5 Let us…

Q: The probability of event A to happen is 3/4, and the probability of event B to happen is 3/5. If the…

A: Given : p ( A ) = 3/4 p ( B ) = 3/5 p ( A n B ) = 1/4

Q: Assume that we have two events A and B, that are independent. Assume further that P(A) = 0.32 and…

A:

Q: :The probability of an event E is defined as

A: Answer: Probability is a measure of how likely it is for an event to happen. Let E is the event that…

Q: Let A, B be independent events with P (A) = P (B) = 1/3. Find the probability that exactly one of…

A: Probability value is calculated by dividing the number of possible observations involve in the event…

Q: A group of people were asked if Marilyn Monroe had an affair with JFK. 113 responded "Yes", and 329…

A:

Q: Suppose you roll a standard 6 sided die and you record the number  from each roll. For each roll the…

A: As per our guidelines we can solve first three subpart and rest can be reposted. Solution -: We have…

Q: An event A will occur with a probability of 0.7. An event B will occur with a probability of 0.2.…

A:

Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

A:

Q: (c) The probability that there are at least three insect fragments in a 8-gram sample of peanut…

A: I checked you part c and your calculated probability is absolutely correct :) Good job! But you need…

Q: Determine if each event is independent or dependent.  Then find the probability.   Medical…

A: Below 200 200-240 Above 240 Total Male 53 372 423 848 Female 79 297 188 564 Total 132…

Q: A group of people were asked if they had run a red light in the last year. 262 responded "yes", and…

A:

Q: newly developed missile destroys the target when it falls within 50 m of the target. The probability…

A: Provided information is, a newly developed missile destroys the target when it falls within 50 m of…

Q: In a large population, 62 % of the people have been vaccinated. If 4 people are randomly selected,…

A: It is given that p=0.62 and n=4.

Q: physics class has 50 students. Of​ these, 16 students are physics majors and 12 students are female.…

A:

Q: A spinner of a board game can land on any one of three regions​ labeled: A,​ B, and C. If the…

A: Probability of an event is the ratio of number of favourable event and total number of events. It is…

Q: Use the following table to answer questions 1 and 2: Light colors Dark colors Vibrant colors Female…

A: (1) Obtain the probability that a randomly chosen person is male or prefers light colors. The…

Q: On any particular Friday evening, the probability  that Jason will go to the mall and go for a…

A: event A : go to the mall event B : go for a coffee P(A∩B) = 13P(B|A) = 47P(A) = ?

Q: (cv² Scu ,v = 1,2, 3, 4 Py(v) = , otherwise Find the value of the constant c. b. Find the…

A:

Q: A radioactive source emits particles at an average rate of one every 12   seconds. Find the…

A: Given problem Given that   A radioactive source emits particles at an average rate of one every 12…

Q: Q20. If a number x is chosen at random from the numbers -2,-1,0,1,2. Then, the probability that x²<2…

A:

Q: A group of people were asked if they had run a red light in the last year. 146 responded "yes", and…

A: According to the given information, we have Total number of people = 146+112 = 258 146 responded…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 3 orange ​balls, 8 black…

A: Solution - Given that, 3 orange balls,8 black balls and 8 yellow balls  Total number of…

Q: a. List the possible outcomes. O A. red/blond and blond / red O B. red/ red, red/blond, blond/ red,…

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Q: A family has three children. Assuming that boys and girls are equally likely, determine the…

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Q: Kelvin needs to draw balls from two containers having 8 balls each, numbered 1 to 8. Calculate the…

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Q: sefective microwaves have been included in a shipment of 6 microwaves. The buyers want to test the 6…

A: Hypergeometric Distribution: Suppose there is a finite population of size N that contains exactly K…

Q: Suppose that a current die is rolled two consecutive times. be: A: = "the sum of the results…

A:

Q: (c)[ If the ten balls are drawn with replacement, write down the probability function of X. (d) If…

A: Given that  Red ball=15 , Blue ball=7 p=probability of red ball=15/22=0.6818 Ten ball are drawn with…

Q: group of people were asked if they had run a red light in the last year. 214 responded "yes", and…

A:

Q: A group of people were asked if they had run a red light in the last year. 210 responded "yes", and…

A: The probability of an event A can be found using the formula: PA=nFnT Here,  nF is the number of…

Q: The probability that a certain kind of component will survive a shock test is 3/4. Find the…

A: Here we want to find the probability.

Q: Which of the following cannot be a probability? O a. 2/9

A: Conditions for valid probability: Probability value is always positive.. Probability value is lies…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.