1. Write the definitions given in the reading for the following: i. conditional probability ii. independent event iii. dependent event
Q: 1. From a standard deck of 52 cards determine the probabilities: a. P( ace) b. P(black card) c.…
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Q: Use the contingency table to determine the following probabilities. a. P(A) b. P(B) c. P(C) d. P(D)…
A: Event A Event B Total Event C 2 11 13 Event D 16 8 24 Event E 6 7 13 Total 24 26 50
Q: . Consider two events A and B in a probability experiment. Define A to be the complement of event A…
A: Step 1: State the given conditions.P(A∪B) = 0.75P(A∩BC) = 0.25P(AC∩B) = 0.35 Step 2: Define the…
Q: a. Cite an example of two mutually exclusive events. b. Is any event mutually exclusive with its…
A: Two events can be said mutually exclusive if they both cannot happen simultaneously. For two…
Q: Find the following probabilities: a. Probability of drawing 1 queen AND 1 ace with replacement in…
A: There are 4 queens and 4 ace in a standard deck of 52 cards.
Q: 4. Describe a descrete random variable. What is a distribution law of a descrete random variable ?…
A: A random variable is defined as a set that has possible values or the outcomes of a chance of…
Q: Roll a fair die 30 times. Calculate the following probabilities a.) P(exactly 5 rolls of six )…
A: Given information: A fair die is rolled n = 30 times. The sample space when a fair die is rolled…
Q: Fill in the blank with an appropriate word, phrase, or symbol(s). A subcollection of the outcomes of…
A: Question is ,A sub collection of the outcomes of an experiment is called a(n) ____________.
Q: Identify the correct statement. A. This is a frequentist probability. B. This is a subjective…
A: Given: A researcher tossed a coin 1000 time and used the number of heads to conclude that…
Q: iii) P (-0.20 ≤z≤-.50) 0.1122 O-0.1122 0.8878 O 0.5
A: Given distribution is standard normal.
Q: Is Event B dependent or independent of Event A? A: A mosquito lands on your arm. B: You get a…
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Q: The following (image) contingency table gives the cross-classification of shark attacks during the…
A: As per guidelines we answer the first three subparts only.Please post other subparts in a fresh…
Q: From the probabilities shown in this Venn diagram, determine the probabilities of the following…
A: Here the given Venn diagram is From the given Venn diagram P(A)= 0.15+0.20 = 0.35 P(B) =…
Q: A movie site investigates the types of movie their customers buy, they record the cus- tomer's age…
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Q: Hannah and Claire each have a chicken coop with 6 hens. Let H represent the total number of eggs the…
A: Given that: Number of eggs 0 1 2 3 4 5 6 P(H) 0.02 0.03 0.07 0.12 0.30 0.28 0.18 P(C) 0.05…
Q: In probability theory, being able to calculate P(A/B) when P(B/A) is known is related to which of…
A: We have given the following statement about the probability theory.
Q: Let A and B be events. a. Use probability notation to represent the conditional probability that…
A: a. The conditional probability of an event B is the probability that the event will occur given the…
Q: Consider the following events: A={1, 2, 3, 4, 5, 6, 7} B={2, 4, 6} C={1, 3, 5, 7, 9} Select all the…
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Q: A stack contains 20 white balls, 18 green balls and 12 brown balls. A ball is drawn at random from…
A: HERE use basic probability probability = no of favorable outcomesTotal number of outcomes
Q: When we obtain probabilities using the classical approach, we define probabilities as a) Reflecting…
A: Solution
Q: 2. Suppose a survey is conducted on 85 people. Each participant was asked whether or not they have…
A: Required probability is P(a person vaccinated ∩to go campimg)
Q: Seventy-five percent of calls arriving at a help line can be handled by the person who answers the…
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Q: 1. The state has a new lottery game called "Suckers!" To play, you pay $1 and then pick a random…
A: (a) There are 1000 (0 to 999) possible sample values out of which only 1 is our preferable value.…
Q: 3. What are events in which the probability of one event occurring is not affected by the occurrence…
A: Mutually Exclusive events: The probability of one event occurring is not affected by the occurrence…
Q: a. The following table shows student's favorite subject. Study the table and answer the followi…
A: Given:
Q: Refer to the contingency table shown below smoking by race aged 18 to 24 white 278, 555, 833 black…
A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…
Q: Are the two events A given B in conditional probability independent or not independent?
A: The two events are A and B. The Conditional probability is the chance of an event based on the…
Q: In how many ways can the letters of the word PROBABILITY be arranged? A. 19, 958,400 B. 9, 979, 200…
A: The objective is to identify the number of ways the defined word, i.e., PROBABILITY can be arranged.
Q: Use the theoretical method to determine the probability of the following outcomes and events . State…
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Q: For items 11-14. A commuter travels in three destinations. He travels first in bus or train,…
A: Given that, A commuter travels in three destinations. He travels first in bus or train, followed by…
Q: Use the data below in answering the tasks for PT2. Situation: A student conducted a survey on the…
A: The given data is Respondent Sex Age Vaccination Status 1 M 49 4 2 M 60 2 3 M 71 3 4 F…
Q: Using the table attached answer part A and B. Let us use the following notation for events: A =…
A: A). PN = Probability that there is n " no sale" of automobile = Number of "no sales"Total number of…
Q: According to the graph part c,d,e, and f
A: The probabilities are listed that were presented by the prosecution for the known characteristics of…
Q: A business enterprise obtains, on average, 12 calls per hour. For any given hour, find the…
A: Given : A business enterprise on average gets , λ = 12 calls/hr Let X represents the number of calls…
Q: Assume that there is a 8% rate of disk drive failure in a year. a. If all your computer data is…
A: The probability of disk drive fail in a year is 0.08.
Q: In Vancouver, Canada the probability of rain during a fall-winter day (FW) is 0.58, and during a…
A: From the given data we have, In Vancouver, Canada the probability of rain during a fall-winter day…
Q: If P(A∪B)=0.8, P(A)=0.3, and P(A∩B)=0.25, find P(B). Assume that A and B are events.…
A: The probability of P(B) is obtained below as follows:From the information, given that
Q: ility, but not the frequentist one using either the frequentist or Bayesian definition of…
A: Frequentist: a Frequentist method makes predictions on the underlying truths of the experiment using…
Q: A hand consists of 3 cards from a well-shuffled deck of 52 cards. a. Find the total number of…
A: Given: A hand consists of 3 cards from a well-shuffled deck of 52cards. To find: The total number…
Q: a) What is the amount of information in a set of 8 signal lights if each light has an equal…
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- In a survey, respondents were asked to indicate their favorite brand of cereal. They were only allowed one choice. What is the concept that implies it is not possible for a single respondent to state more than one brand as their favorite cereal? Choose the correct answer below. O A. independent events O B. mutually exclusive events O C. dependent eventsCalculate the probability of the following string of states:out of 180 law students surveyed, 90 took Contract Law, 50 took Administrative Law, and 20 took both. What is the probability that a student took: a. exactly one of these classes? b. neither of these classes?
- 1. Lauren drinks a variety of soft drinks. over the past month she has had 16 diet cokes for 4 cans of lemonade, and 5 cans of rootbeer. A. Given her history, what is the probability that her next drink will be diet cola? Lemonade? Rootbeer? B) what definition of probability should be used to answer this question?For each of these problems, you need to a) translate each sentence into probability notation, then b) determine if the specified events are independent. You must show work for independence. 1. The probability that a person plays on a high school basketball team is .031. The probability that a person plays on a high school baseball team is .04. The probability that a person plays on a high school baseball team and a high school basketball team is .017. Determine if the events "plays on a high school basketball team" and "plays on a high school baseball team" are independent events. 2. The probability that a person likes the superhero Iron Man is .46. The probability that a person likes the superhero Captain America is .58. The probability that a person likes the superhero Captain America given that the person likes the superhero Iron Man is .46. Determine if the events "likes Iron Man" and "likes Captain America" are independent events. 3. The probability that a person likes the…Consider two events A and B. The probability for event A is P(A) = 0.52. Suppose P(B|A) = 0.65 and P(B|AC) = 0.45. a. Find P(AC). b. Find P(An B). c. Find P(An B). d. Construct a probability tree diagram. See the diagram on pages 50 and 52 of the course packet. Find P(B). Find P(A/B). Are A and B mutually exclusive? Why or why not? Are A and B independent? Why or why not? U e. f. g. h.
- The following contingency table classifies institutions of higher education in the United States by region and type. Suppose an institution of higher education is selected at random. Determine the probability the institution obtained Public | Private | Total (a) Is in the northeast? Northeast 266 555 821 (b) Is in the northeast, given that it is a private school? Midwest 359 504 863 (c) Is a private school, given that it is in the northeast? South 533 502 1035 (d) A public school and in the Midwest? West 313 242 555 (e) A public school or in the Midwest Total 1471 1803 3274 (f) A public school?3. An airline tracks data on the flight arrivals. Over the past 6 months, 65 flights on one route around early, 130 arrived on time, 15 were late, and 30 were cancelled. A. What is probability the flight is early? On time? Late? Canceled? B. Are thes outcomes exclusive? C. What id the probability that a flight is either early or on time?1) Find the number of ways to arrange the word PROBABILITY
- In a fruit basket, there are 10 santol, 10 atis, and 10 mangoes, some of which are rotten as summarized in Table 1 below. (refer to the image for the table) g. What is the probability that I get an apple that is rotten? h. What is the probability that I get a rotten fruit given that it is apple? i. What is the probability that I get a rotten apple and rotten atis?The conditional probability of event A given event B has occurred is given by: * O P(A or B)/P(B). P(A and B)/P(A). O P(A and B)/P(B and A). O P(A and B)/P(B)Test the pair of events B and A for independence based on the following table. Events A, B, and C are mutually. exclusive. Events D and E are mutually exclusive. D E Totals A 0.09 0.21 0.30 B 0.06 0.14 0.20 C 0.15 0.35 0.50 Totals 0.30 0.70 1.00 Are the events B and A independent? Select the correct answer below and fill in the answer boxes to complete your choice. OA. No, they are not independent because P(BNA)*P(B)P(A). P(BNA)= and P(B)P(A) = OB. No, they are not independent P(BNA)=P(B)P(A). P(BNA)= and P(B)P(A) = OC. Yes, they are independent because P(BOA)*P(B)P(A). P(BNA)= OD. Yes, they are independent because P(BOA)=P(B)P(A). P(BOA)= and P(B)P(A) = and P(B)P(A)=
