Probability: Intersection of Dependent Events Determine the following probabilities. Enter your final answes as reduced fractions. A jar of 29 coins has 6 pennies, 5 nickels, 8 dimes, and 10 quarters. Two coins are chosen at random without replacement. Find the probability that the first coin is a dime and the second coin is a penny.

Q: The probability that the life of a bulb is 100 days is 0.05. Find the probability that out of 6…

A: Given.  Let p be the probability of getting life of bulb over 100 days  n=sample pf bulb  n=6, X be…

Q: Activity: Which events are independent? Determine whether the events are independent or dependent.…

A: Dependent events : The events which influence the probability of other events  Independent events :…

Q: Steve Burns, host of the first season of Blue' clues recently bids goodbye to the show. Assuming…

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Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

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Q: Use the confidence interval to find the margin of error and the sample mean. (1.70,2.08) ... The…

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Q: Test the claim that the mean GPA of night students is significantly different than 2.1 at the 0.01…

A: Given  Population mean μ=2.1,  level of significance ɑ=0.01

Q: BMX racing is a sprint sport where races range from around 30 to 45 seconds depending on the length…

A: Given that BMX racing is a sprint sport where races range from around 30 to 45 seconds depending on…

Q: Determine the following probabilites. Write your answer in the form given in the information in the…

A: It is given that the probability that a person will get the flu in a given year is 9%.

Q: What is the probability that a product does not attain a good review

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Q: Two out of the following cities will be randomly selected for a feature in a travel show: milan, New…

A: By classical definition of probability, it is defined as the ratio of the number of cases favorable…

Q: A catalog begins with three distinct letters followed by four distinct nonzero digits. What is the…

A: Given that A catalog begins with three distinct letters followed by four distinct nonzero digits…

Q: You wish to test the following claim (H.) at a significance level of a = 0.05. H.:µ = 79.7 H:µ <…

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Q: Show E(X²)

A: First we have to determine the marginal pdf of X tp calculate the value of E(X2).

Q: A class has 14 girls and 12 boys and a committee of 5 is chosen. What is the probability that this…

A: We have given that Number of girls = 14 Number of boys = 12 Total students = 12+14 = 26 We have to…

Q: Answer the following items by calculating the probability of committing an error. Given: u = 300, x…

A: Given information:- μ=300, x¯=290σ=25, n=35

Q: If a random variable X has the gamma distribution with a = 2 and B = 1, find P(1.8 <X< 2.4). O0.2315…

A: Solution

Q: 7. The marital status distribution of the Selangor's female population, ages 15 and older, is as…

A: The categorical variable is marital status, it has 4 types. We have to test whether age group of…

Q: 5. Identify a type: ordinal, nominal, discrete or continuous? On = 1, Off = 0 с. Age а. b. political…

A: Nominal data is used to label variables without any order or quantitative value Ordinal data is…

Q: Suppose that X, and X2 are aiscrete random variables with joint pdf of the form f(x1,x2) = c(x1 +…

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Q: Cash Transaction No Check Total Check Make The given table indicates the transactions for one teller…

A: Required probability is P(make some other transaction| cashed a check)

Q: Let X1,..., Xn be a random sample from a uniform distribution on [0, 1], where 0 < 0 < 1. 1. Find…

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Q: A professional coin flipper is on a hot streak for getting heads. assume the person is using a…

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Q: expected profit of 1 percent of the amount it would have to pay out upon death. Find the annual…

A: here take C = premium expected profit  = 1% of 200000 = php 2000 p(die during the year ) = 0.02 x=…

Q: 3. A hydraulic rework shop in a factory turns out seven rebuilt pumps today. Suppose three pumps are…

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Q: A person has a cough and flu-like symptoms and gets a PCR test for COVID-19, which comes back…

A: Given information: P(Covid- 19)=5.95%=5.95100=0.0595P(No covid- 19)=1- P(Covid- 19)=1-0.0595=0.9405

Q: For x = 1, 2, 3 and y = 1, 2, let the joint pmf of X and Y be defined by f X,Y (x, y) = (x+y)/21…

A: The joint probability mass function of X and Y is  f(x,y)=(x+y)/21   , x=1,2,3 and y=1,2

Q: A box contains 3 red, 5 white, and 5 green balls. Two balls are drawn in succession without…

A: Given that  Red balls=3  White balls=5 Green balls=5 Total balls=3+5+5=13 2 balls are chosen at…

Q: A sample of 120is drawn from a population with a proportion equal to 0.69.   Complete parts ​a)…

A: Given,n=120p=0.69mean(μ)=npμ=120×0.69μ=82.8standard deviation(σ)=np(1-p)σ=120×0.69×(1-0.69)σ=5.06636

Q: udents enrolled in each degree program. Classify the sampling method. a. simple random b. stratified…

A: Given that ; A university polled of it's students = 500 The proportional to the number of students…

Q: The Production manager of GTW Manufacturing Company inspected that out of 20 bags of biscuits, there…

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Q: 300 students were surveyed. 100 students from 3 different grades were identified and asked if they…

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Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 5​,given that the…

A: The sample space of two fair dice is S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3)…

Q: Let X and Y be jointly cantinuous random variables with joint PDF is given: $ X,Y (x.y) =…

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Q: A company manufactures panes of glass. The probability that a pane of glass has bubbles is 0.01. If…

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Q: Part 2: The graph below represents the relative frequency of 4's that occur (number of 4's divided…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Let X and Y be jointly continuous random variables with joint PDF is given: f X,Y (x.y) I co,l) a) I…

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Q: A person has a cough and flu-like symptoms and gets a PCR test for COVID-19, which comes back…

A: Sensitivity of a screening test can be define as the percentage of cases in which the test result is…

Q: is the probability that all books within the same subject will be adjacent?

A: here total books  6+5+4+3 = 18  here use total arrangements

Q: (c) Write the formula for the joint conditional probability of distribution of X,U given that Y =-…

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Q: For x = 1, 2, 3 and y = 1, 2, let the joint pmf of X and Y be defined by f X,Y (x, y) = (x+y)/21…

A: Given that  The joint probability mass function of X and Y is  f(x,y)=(x+y)/21   , x=1,2,3 and y=1,2…

Q: From a standard deck of playing cards, one card is selected at random. What is the probability of…

A: GivenTotal no. of cards in a deck =52No.of heart cards in a deck = 13No.of king cards in a deck =4

Q: BURGER BARN ALLOWS STUDENTS TO CREATE UNIQUE BURGERS BY SELECTING FROM 4 TYPES OF BUNS, 3 TYPES OF…

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Q: 4 5 6

A: The mean of the first data set is 9.2 The standard deviation is 2.1119

Q: A discrete probability distribution is given by the table below. 123 4 5 Pr(X=x) aa2a0.20.4 The…

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Q: If a random student has studied German before, what is the probability they have also studied French…

A: We have given that the beginning of the school year a class of students are asked what foreign…

Q: The time required for the examinees to solve he same problem differs by two minutes. Together they…

A: This problem is calculative and comprise algebra.

Q: bu wish to test the following claim (H.) at a significance level of a = 0.02. H.:µ = 53.1 Ha:µ +…

A: Given μ=53.1, n=52, M=47.2, SD=s=20.2

Q: 9. To get reactions about a particular new car, readers of a car magazine were asked to mail in…

A: Solution: Here we  are only interested in the valuntary response sampling method. So first we…

Q: Two out of the following cities will be randomly selected for a feature in a travel show: milan, New…

A: Probability is the likelihood of happening. Event is the possible outcome of all the observation in…

Q: A population of 2,800 students from a certain region have normally distributed National Examination…

A: Given,sample size(n)=35mean(μ)=89standard deviation(σ)=5