Urn I contains 3 gold coins, urn II contains 1 gold coin and 2 silver coins, and urn III contains 1 gold coin and 1 silver coin. If an urn is selected at random and a coin is drawn from the urn, construct a probability tree and find the probability that a gold coin will be drawn.

Q: A single card is drawn from a well-shuffled deck of 52 cards. Find the probability that the card is ...

A: given:-   total cards =52 we have to calculate the probability that the card is a number between 2 a...

Q: A survey of 400 people is carried out by a market research organization in two different cities, Bue...

A: The data is given by :    Chocos Zucos Fruti Total Buenos Aires 43 85 62 190 Montevideo 57 35...

Q: Below is a probability distribution for the number of math failures in algebra 1. Use the distributi...

A: Probability distribution table is given. X 0 1 2 3 4 P(X) 0.41 0.38 0.11 0.08 0.02

Q: 3. Suppose X is a binomial random variable with n=100 and p=0.3. Estimate P(X=40) by using the norma...

A: Given: n=100 p=0.3 The objective is to estimate P(X=40) using the normal approximation.

Q: A lawyer commutes daily from his suburban home to his midtown office. The average time for a one-way...

A: Given Data: Let X be the random variable for time for a one way trip Mean(X)=24 SD(X)=3.4   X~ Norma...

Q: What is the probability of selecting a veteran that lives in your state given they live in the U.S.?...

A: Introduction: The probability of an event A is given as: P (A) = n (A) / n, where n (A) is the numbe...

Q: 5.The number of complaints filled out by the customers are 35 in 1000 customers. This firm serves 35...

A: We know that , The Poisson(λ) Distribution can be approximated with Normal when λ is large. For suff...

Q: Plz solve only b) and c)

A: Solution: Given information: Let X be the normally distributed variable with mean μ=17 and standard ...

Q: Assume that each of the n trials is independent and that p is the probability of success on a given ...

A:

Q: In a three-coin experiment, what is the probability of gettinga. 1 head?b. 2 heads? c. 3 heads?

A: When we toss three coins simultaneously then the total possible outcomes are: 23=8 That is, HHH, HHT...

Q: A baseball player has a batting average of 0.225. What is the probability that he has exactly 3 hits...

A: Given: Probability of hitting the ball, P(h)=0.225. The objective is to find the probability of 3 ...

Q: Following data is the raw Data Pertaining to Total Time Hours Worked by Machinists 90 94 03 93 88 4 ...

A: Probability :  Probability is a branch of mathematics that deals with the occurrence of a random ev...

Q: Problem 1Let X be a discrete random variable with the following PMF.

A: Solution: 1. From the given information, the probability mass function of X is

Q: (a) One in which there are five spades, four hearts, three diamonds, and one club. (b) One in which ...

A: There are 52 cards in a deck. The number of all possible hands is equal to the number of combination...

Q: A test in statistics for decision making course was administered to 2500 MBA students. The test scor...

A: Let us assume X=the score Given that X follows a normal distribution with mean=42 and variance=576. ...

Q: ) In a video game factory, machines A, B and C manufacture 20%, 30% and 50% of the total output, res...

A:

Q: Two real numbers X and Y are chosen at random in the interval (0, 1). Compute the probability that t...

A: Selecting two points x and y from the interval (0,1) is identical to selecting a single point from t...

Q: What is the probability of each event when randomly drawing one card from a standard deck of eards? ...

A: Given data: The total number of cards in a playing deck is n=52. 1) The numbers of the king are k=4....

Q: For the experiment of rolling an ordinary pair of​ dice, find the probability that the sum will be l...

A: Given data is : Rolling an ordinary pair of​ dice Total number of outcomes nS=62=36 A sum is less th...

Q: In a regular deck of playing cards there are 26 red cards and 12 face cards. Explain, using sets and...

A: Given: In a regular deck of playing cards there are 26 red cards and 12 face cards.Let R be the set ...

Q: In a certain​ four-engine vintage​ aircraft, now quite​ unreliable, each engine has a 15​% chance of...

A: 1]  chance of failure of each engine on any flight =15% 2] if one engine fails the chance of each of...

Q: Send solution fast

A: a) There are four types of components. The probability of each type being selected is 0.28, 0.20, 0....

Q: B.1) Let the random variable X represent the number of cars that are used for official business purp...

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a ti...

Q: A red coin as a 1 on one side and a 3 on the other. A blue coin has a 0 and a 1. Let X represent the...

A: As given in problem: For red coin= 1,3 For blue coin= 0,1 X= Total of both coins Y= Number flipped o...

Q: Average in one day in a large hospital30 patients die. a) Probability distribution, expected value, ...

A: Given :- Average in one day in a large hospital 30 patients die.   so , λ = 30 this follows poisson ...

Q: Probability Question

A: 1. fx=5x+1x2+4 To find where the function is discontinuous find point x at which x2+4=0 x2+4=0x2=-4 ...

Q: For any integer of n, if n is prime, then n is odd or n is 2. Write the negation, contrapositive, co...

A: Negation of statements :  The negation of a statement p (read: not p) is the statement ¬p which asse...

Q: A new printing machine is tested about the number of printing errors per 5m2 paper. It is assumed th...

A: Answer:- 

Q: Each of the teachers at a local school district is categorized by their number of years of service, ...

A: Given:

Q: Two unbiased dices are thrown simultaneously. Let "A" denote the event that the sum is 8 and "B" th...

A: The sample space of two dice isTherefore, the total number of outcomes are 36.  

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

A: no.of queen  cards =4no.of king cards=4and total no.of cards=52

Q: Suppose that, from a survey of construction labor, the work duration (in number of hours) per day an...

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

Q: From a well shuffled pack of 52 playing cards, 2 cards are drawn in a succession with out replacemen...

A:

Q: An average of 25 patients die in a day in a large hospital. a) Find the probability distribution, ex...

A: X~Poisson (λ)

Q: In a factory, there were 24 accidents involving machinery in the last six months. (a) State the prob...

A: a) Given There were 24 accidents involving machinery in the last six months. λ=246=4 The average num...

Q: let x be a random variable with probability density function f(x)={ c ( 1-x^2)  -1<x<1        ...

A: Solution: From the given information, the probability density function of x is

Q: Asap

A:

Q: According to Chebyshev's theorem, the probability that any random variable assumes a value within 3 ...

A: Given that the random variable X has mean μ and variance σ2. Consider, Pμ-3σ<X<μ+3σ=Pμ-3σ-μσ&l...

Q: There is a 0.8 probability that the temperature will be below freezing on any winter's day in Amman....

A: 1] The probability of temperature below the freezing =0.8 2] The probability of temperature above th...

Q: In a video game factory, machines A, B and C manufacture 10%, 40% and 50% of the total output, respe...

A:

Q: A grocery manager discovered​ that, on any given​ weekday, 75​% of the customer sales amount to more...

A: It is given that, on any given​ weekday,75​% of the customer sales amount to more than​ $100.

Q: In Pleuville, whether it will rain on any day is independent of whether it rains on any other day. T...

A: The following information is provided in the question PRain on any day=0.6 And the probability of Ra...

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1, 2, 4...

A: Given, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1, 2...

Q: The following cards are placed in a box.B 9  k 5 2 R  z 8 W 3 If Joemar will pick a card without l...

A: Here, Total no. of cards are n=12 The favaourable number of outcomes i.e. the cards that is not a nu...

Q: Los Angeles workers have an average commute of 40 minutes. Suppose the LA commute time is normally d...

A:

Q: QI. Andrew and Ben play until one has 2 more points than the other. Assuming that each point is inde...

A: Answer:-  Here  I'm using A for Andrew and B for Ben. We have given that, the game lasts for a total...

Q: Question is related to Probability

A: Given Information: Below are the grades of class 9 students on a midterm report and on the final exa...

Q: The cumulative distribution function of random vartable X is x 1. Fx (x) = 1 Find: P(Xs1)And P(X=1)

A: P(X≤1)=FX(1)=1 [from the last row of the function]

Q: find the population variance for the following data set: 13,23,26,17,21

A: Given Data: 13, 23, 26, 17, 21   Mean=13+23+26+17+215=20

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.