Determine the following probabilities. Enter your final answes as reduced fractions . Two cards are drawn at random from a deck of 52 cards without replacing the first card before choosing the second card. What is the probability that the first card is a spade and the second card is a number card that is red ?

Q: Let Y have the density function given by 0 <y< 2 f(2) = {-cy", (-су?, 0, elsewhere a. ) Find c. b. )…

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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: 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 coin purse has 3 OLD one-peso coins and 7 NEW one-peso coins. Suppose you randomly pick a coin and…

A: Introduction: It is required to find the probability that the second coin is an old peso.

Q: Show complete solution One bag contains 6 white balls, 3 red and 4black balls, and a second bag…

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Q: You build a model of the decision to live on campus and collect 533 students: LOC-b0+ b1 SUNIT + b2…

A: We'll answer the first question since the exact one is not specified. Please submit a new question…

Q: Example An oil corporation is competing for the rights to drill wells in field A and field B. It has…

A: Since you have posted a question with multiple sub-parts, as per our guidelines, we have provided…

Q: Activity 5.6 The number of eggs X laid by an insect is known to have a binomial distribution with…

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Q: 4. A university is offering two courses, one in Statistics and the other in Mathematics. These…

A: Number of students=300  Number of students in Statistics=85 Number of students im Mathematics=65…

Q: d. Create a probability distribution of X. 1 4 P(X = x) NOTE: 0 < P(x;) < 1 and P(x1) + P(x2) +…

A: X denotes the number of tails that occur. There are total 16 possible outcomes. From the part(a).…

Q: a) A random variable is continuous. For any value a, P(X =a)~0 always. b) A standard normal curve…

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Q: A pair of dice is thrown. If it s known that one die shows a 4, what is the probability that (a)…

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Q: Activity 3.8 Suppose X is a random variable with c.d.f F. Show that for any real number x Р(х…

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Q: Example A group of 45 engineering students makes up a class. What are the probability that no two…

A: def all_different_birthday(tot_persons):prob = 1for i in range(tot_persons):prob =…

Q: random and is taller than 6 feet, what is the probability that the student is a woman? O3/11 O7/11 O…

A: *Answer:

Q: b. What is the probability that a customer will spend more than 15 minutes in the bank given that he…

A: Let X amount of time one spends in a bank is exponential distribution  X~exp(1/10)

Q: The pH water samples from a specific lake is a random variable X with probability density function.…

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Q: ec. Find the probability that the next operation of the robogate will take 26.6 sec or less.

A: here mean = 22 sec standard deviation  = 2 sec x= processing time for the robogate

Q: 5. Let f(x, y)= P(X =x,Y = y), X = 2,3,4, Y = 1,2,3, 4 , where P is given by the table below: X = 2…

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Q: Two dice are rolled. Find the probability that first die lands on an even number and the second die…

A: The sample space of all the 36 possible outcomes for the two dice is shown below:

Q: Claim: The standard deviation of pulse rates of adult males is more than 10 bpm. For a random sample…

A: Givensample size(n)=175standard deviation(s)=10.9

Q: Question 7 A pharmacy has a new vending machine that dispenses 7 different types of self-medication.…

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Q: higher than standard delivery costs). Of the next day deliveries, only 1% arrive late. Of the same…

A: Here Given for 3 types of deliveries  Same day=S Next day=N Standard= X AND Take L=Late Delivery…

Q: Suppose that 10 employees are to be divided among three jobs, with three employees going to job 1,…

A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…

Q: A sample of 14 commuters in Chicago showed the average of the commuting times was 33.2 minutes. If…

A: Given:  n = 14 X¯ = 33.2 σ = 8.3

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: 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

Q: For a random variable X E(X) = 1.27, E(X²) = 3.79 The variance of X is equal to Select one: O 2.52…

A: We have given that,  E(X) = 1.27 and E(X2) = 3.79 Then  We will find the variance of X  ?

Q: the bag and not replaced. If the number is even, a second disc is drawn from the Bag. If the IirSt…

A: here given, A bag contains seven discs, numbered from 1 to 7 inclusive. A disc is drawn at random…

Q: Reading proficiency: An educator wants to construct a 99.8% confidence interval for the proportion…

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Q: # 5 Let X denote the random variable that gives the sum of the faces that fall uppermost when two…

A: Solution is attached image below

Q: 3 The following table shows information about students studying a particular course IFY IY1 Male…

A: Given that    IFY IY1 Total  Male 40 36 76 Female  51 24 75 Total 91 60 151

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

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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: Compute the number of ways we can select n fruits from 4 types of fruit (assume an unlimited supply…

A: Given 4 types of fruit (apple, banana, orange and peach)

Q: A certain type of radio tubes lasts on the average of 3 years with a standard deviation of 2.9…

A: Solution: Given information: n= 40 Sample size  μ= 3 Population mean σ= 2.9 Population standard…

Q: What is the probability of obtaining a sample mean of 56 or less from a sample of 50​?

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Q: 2. Discrete or continuous? а. the age of players on a hockey team b. the number of goals scored by…

A: Discrete Discrete data set is the data in which value is countable and finite. Example {1,2,3,4,6}…

Q: 13. Systematic random sampling is used to interview 10% of the students at a local school with 1950…

A: Here Given  Total No of students=1950

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: 4. The following information is obtained concerning an investigation of 50 mobile user: Sex Male…

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Q: Which of the following is true about the probability density function (pdf) of a continuous random…

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

A: Solution-: Given: μ=89,σ=5,n=35 We find, P(a random sample of 35 students has a mean score above…

Q: Suppose a certain type of small data processing firm is so specialized that some have difficulty…

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Q: Find the probability that the second motor selected is not defective, given that the first was not…

A: here total 5 motors are there , of which one is defective two motors are selected

Q: Let X be the number of students who show up for a professor's office hour on a particular day.…

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Q: There are 50. The teacher had only 20 free tickets for the Art Museum for this class. Therefore, the…

A: The intersection of two events indicate that two events are occurred simultaneously. If the two…

Q: A bag contains 3 Red and 7 Blue counters. Two counters are taken from the bag at random, without…

A: We have Number of red balls = 3  Number of blue balls = 7 Total balls = 3+7 = 10 Here we have to…

Q: In a tropical area where there are short storms more or less uniformly distributed throughout the…

A: A continuous random variable X is said to follow Uniform distribution with parameters a and b, if…

Q: Probability of Two Events: Intersection and Union A single card is drawn at random from a deck of 52…

A: An event is an outcome or a set of outcomes of a random experiment to which a probability is…

Q: Let X1, X2, ..., X144 be independent identically distributed (i.i.d.) random variables, each with…

A: Let be independent identically distributed random variables each with expectation The standard…