Q102. A die is thrown and a card is selected at random from a deck of 52 playing cards. The probability of getting an even number on the die and a spade card is: A. 1±1 B. ABCD 121418 C. D. 167 168

Q: If two events A and B area such that P(A)=0.3, P(B) = 0.4 and P(AB)=0.5 then P(B|AUB))=

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Q: How did you get the -28

A: Given: If you rolled two dice and got a sum of 2 or 12, you won $25If you rolled a sum of 7, you won…

Q: and initial distribution po = 0.5 and p₁ = 0.5. Determine the probabilities Pr{Xo = 1, X₁ = 1, X₂=0}…

A: It is given that a Markov Chain X0,X1,X2,... has the transition probability matrix P.Note:…

Q: A company experiments with different offers and website designs. Possible actions by the website…

A: Construct a probability tree for the given experiment. We will use the information provided about…

Q: ation tamath.com/app/student/2865356/22776217/197eaf2c743c7391f2865db9440238e0 mus Dashboard…

A: The objective of this question is to find the probability that a resident who has only completed…

Q: According to a study published by a group of sociologists at the University of Massachusetts,…

A: The conditions for the normal approximation to the binomial distribution are given below:From the…

Q: 3.2.5 A Markov chain has the transition probability matrix 0 1 2 0 0.7 0.2 0.1 P= 1 0.3 0.5 0.2 2 0…

A: Consider the transition probability matrix:The Markov Chain starts at time zero in state . It is…

Q: Consider two independent random variables, X and Y, with marginal pdfs fx(x)= 1, 0≤x≤1 0, otherwise…

A: Two independent random variables X and Y and their marginal pdfs are given as follows.The pdf of X…

Q: (a) Determine the mean and standard deviation of the sampling distribution of X. The mean is μx =…

A: Let X be the random variable the height of students.Given that,Population mean Population standard…

Q: Out of of a sample of 500 families, 205 had children under the age of 18 living in the home. Based…

A: 95% confidence interval for true population:     0.3669 < p < 0.4531Explanation:

Q: The lengths of time, in minutes, that 10 patients waited in a doctor's office before receiving…

A: From the provided information,The data values are as follow:8, 5, 12, 5, 19, 12, 12, 5, 6, 16n = 10

Q: Determine the conditional probabilities Pr{X3 = 1|X₁ = 0} and Pr{X₂ = 1|Xo = 0}.

A: It is given that a Markov Chain X0,X1,...has the transition probability matrix P.

Q: Let X be a random variable with the CDF below. Find the following: a) P[X 1] and P[X ≥ 1]

A: The CDF is provided:The question's purpose is to determine the values:a) P[X < -1] and P[X ≤…

Q: A binomial random variable has mean 5 and variance 4. Find the values of n and p that characterize…

A: The provided information is as follows:A binomial random variable has mean 5 and variance 4.

Q: A pair of dice is rolled 240 times. What is the probability that a total of 7 occurs (a) at least 28…

A: First we need to find the probability of total 7 occursTotal number of outcomes is 36Outcomes of 7…

Q: Consider the following probability. P(z <= -2.17) Let z be a random variable with a standard normal…

A: The provided information is as follows:The  is a random variable with a standard normal…

Q: The reproduction number R of an epidemic spreading process taking place on a random network with…

A: Given the reproduction number R of an epidemic spreading process taking place on a random network…

Q: A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan…

A: The objective of this question is to find the probability that a shipment of aspirin tablets will be…

Q: A certain journal likes to give new writers an opportunity. Therefore, there is a 40% chance  that…

A: According to the given information,Probability that author's first article will be published = 40% =…

Q: Suppose a jar contains 8 red marbles and 22 blue marbles. If you reach in the jar and pull out 2…

A: The objective of this question is to find the probability of drawing two red marbles from a jar…

Q: A and B are independent events and P(A) = P(B) = 3, then P(A' B) = 215 (B) 15 (D)

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Q: Given a standard normal distribution, find the areas in part (a) through (f) below. Click here to…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: With 5 professors and 15 students to choose from, what is the probability of choosing 12 people for…

A: The probability of choosing a committee of 2 professors and 10 students is approximately…

Q: 30 The mean number of automobiles entering a mountain tunnel per two-minute period is one. An…

A: The provided information is as follows:The mean number of automobiles entering a mountain tunnel per…

Q: Assume that when adults with smartphones are randomly selected, 46% do not use them in meetings or…

A: The objective of this question is to find the probability that exactly 6 out of 8 randomly selected…

Q: When you make a phone call, the line is busy with probability 0.2 and no one answers with…

A: The objective of the question is to find the cumulative distribution function (F_W(w)), the…

Q: Calculate the future value of $9,000 earning 6% interest compounded quarterly for 7 years. (Round…

A: Given that,principal value( PV) = $9000Since compounded quarterly therefore rate is rate (r) = 6%/4…

Q: 3.33 Suppose a certain type of small data processing firm is so specialized that some have…

A: The probability density function that characterizes the proportion Y that makes a profit is given…

Q: replacement from an ordinary deck of playing cards (52 cards total). What is the probability of…

A: Number of cards in an ordinary playing deck =52It is required to compute the different scenarios of…

Q: Typed plz and asap please provide me a quality solution solve all parts with all steps and…

A: The objective of this question is to construct a 98% confidence interval for the standard deviation…

Q: Approximately 7.8% of all people have blue eyes. Out of a random sample of 25 people, find the…

A: The objective of this question is to calculate various probabilities, expected value, standard…

Q: Based solely on the information​ given, do you have reason to question the results of the following…

A: The objective of the question is to determine whether there is reason to question the results of a…

Q: A roulette wheel has 38 slots, numbered 0, 00, 1, 2, . . . , 36. You havebeen watching the game for…

A: The probability that the first "five" comes up 15 spins from now is still  1/38 , regardless of the…

Q: The data that follow are the number of passengers on 31 different charter fishing boats. The sample…

A: A random variable XU(0,16)f(x)=sample mean=8.7Sample standard deviation=4.6

Q: A company experiments with different offers and website designs. Possible actions by the website…

A: The objective of the question is to construct a probability tree for the experiment conducted by the…

Q: Hello, I want to check my work. I used invNorm on a calculator. If there an excel formula I can use?…

A: The z-score is 1.64485. The required sample size is 29.Explanation:To determine the required sample…

Q: Can you calculate X(t) = exp(At) and show the matrix satisfies the differential equations. And…

A:

Q: The Venn diagram here shows the cardinality of each set. Use this to find the probability of…

A: From the provided information,Sum of all count n (S) = 5 + 5 + 9 + 2 + 8 + 12 + 11 + 3 = 55n (A) = 5…

Q: Show that N+ is continuous in probability, i.e. for any arbitrarily small € > 0, P{|N₁ − Ns| > ε } →…

A: let's prove the continuity of a Poisson process Nt​ using the provided hint.Given the stationary…

Q: Please answer the following Probability question correctly and completely. 42 balls are numbered 1 -…

A: 42 balls are numbered 1 to 42.You select six numbers between 1 and 42.Number of possible ways to…

Q: Slices of pizza for a certain brand of pizza have a mass that is approximately normally distributed…

A: The objective of the question is to find the probability of different scenarios related to the mass…

Q: Chaeyeon is an up-and-coming dancer who has joined a televised dancing competition to help boost her…

A: highly rated dancers participating in the -round dance battle: Chaeyeon, Yena, and Yuri.Each round…

Q: In a lottery game, a player picks 6 numbers from 1 to 43. How many different choices does the player…

A: In a lottery game total numbers from 1-43=43no. of numbers to be picked=6The order doesn't matter

Q: Part A: There is a probability of 0.08 that a vaccine will cause a certain side effect. Suppose that…

A: The probability that a vaccine will cause a certain side effect is 0.08.60% of young children have…

Q: You may need to use the appropriate appendix table or technology to answer this question. A binomial…

A: From the information, given thatLet X denotes the random variable which follows binomial…

Q: Assume that during each second, a job arrives at a webserver with probability 0.03. Use the Poisson…

A: Given,Assume that during each second, a job arrives at a webserver with probability 0.03. That is, p…

Q: Blake Hamilton has money in a savings account that earns an annual interest rate of 4%, compounded…

A: The objective of this question is to calculate the Annual Percentage Yield (APY) for Blake's savings…

Q: In each of tthe following cases, Y is a Gaussian random variable. Find the expected value μ = E[Y].…

A: The objective of the question is to find the expected value (mean) of a Gaussian random variable Y…

Q: The weights of a large number of miniature poodles are approximately normally distributed with a…

A: Mean()=7standard deviation()=0.9

Q: Number of possible outcomes for rolling three dice is P(even) = P(3,5,15,or 17) = P(7,9,11,or 13) =

A: Here given we play a dice game and rolling three dice and summing the roll. It costs $2 to roll the…