A person draws 3 cards without replacement from a standard 52-card deck. Find the probability of drawing exactly two hearts. The probability is (Type an integer or a simplified fraction.)

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A: Given that, a researcher takes sample temperatures in Fahrenheit of 18 days from Pittsburgh and 16…

Q: Imagine a man has two emotional type for each day: Happy and Sad. If he is happy in one day, then…

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Q: c(1-x²), -1<x<1 %3D | 1. Let X be a random variable with probability density function f(x) =…

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Q: Example 22. A piece of equipment cost a certain factory Rs. 6,00,000. If it depreciates in value,…

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Q: Q. 17 Base shifting of Index number.

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Q: harity draw öf opportuty Win a sponsored spot-prize. A tickets and 10 gold tickets. If a person…

A: Tickets Count Black 80 Gold 10 Total 90 A person gets a Gold ticket will draw a Spot Prize.…

Q: You are given that P(A) = 0.5, P(B) = 0.25, and P(A n B) = 0.1. What is the probability that A or B…

A: Given,P(A)=0.5P(B)=0.25P(A∩B)=0.1

Q: Example 23. 80 coins are placed in a straight line on the ground. The distance between any two…

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Q: Given discrete X and Y and Probabilities y = 1 0.1 y = 2 0.3 x = 1 x = 2 find Pr(X = 1,Y = 2). 0.2…

A: From the provided information, Probabilities y = 1 y = 2 x = 1 0.1 0.3 x = 2…

Q: (a) In testing a certain kind of truck tire over a rugged terrain, it is found out that 25% of the…

A: Introduction: Denote X as the number of trucks that will fail the test.

Q: Combination. There are 15 technicians and 11 chemists working in a research lab. They need to form a…

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Q: Example 21. B arranges to pay a debt of Rs. 9600 in 48 annual instalments which form an arithmetic…

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Q: 4. The distribution of the time until change (in days) of a Web Days until Changes 1.5 site is…

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Q: 9. Fit a straight line trend by the method of least squares. Year: 1990 1991 1992 1993 1994 1995…

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Q: Consider the probability density function if x -4 + (x+4)³ Find the median. Select one:

A: Given information: fx=1x+43 if x≥-4+12 Consider, Fx=∫-4+12xftdt       =∫-4+12x1x+43dx      =-12x+42…

Q: How many ways are there to select the 5-person committee such that exactly 2 local business owners…

A: We have given that  Total number of volunteers = 20 Number of homeowners = 11 Number of local…

Q: Jack and Jill are in an airplane soaring high above majestic Lake Tahoe. Jack is considering jumping…

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Q: Draw and Shade the normal curve, find the percentage of that shaded part and find the number of…

A: GivenMean(x)=480sample standard deviation(s)=50

Q: Example 1 Construct the ogives for the following data. С. I.: 10-20 20-30 30-40 40-50 Frequency: 2 4…

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Q: Example 6 Find the median wage of the following distribution graphically: Wages (in Rs): No. of…

A: We have given that the grouped frequency table of wages and number of labourers.

Q: Example 4. How many terms of the series 1, 6, 11, sum is 148, be taken so that their

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Q: Find the conditional distribution pY |X(y | 2).

A: Given that  Joint probability mass function of X and Y is    Y=0 Y=2 Y=4 X=1 0 2/15 1/15 X=2…

Q: For items 8 – 13, use the probability of the union of two events, independent, or dependent events…

A: According to guidelines we solve only first question when given questions are different.

Q: Determine the probability of getting 9 exactly twice in 3 throws with a pair of fair dice. 8 А. 43…

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Q: If the coefficient of localization for students spending in public schools (per capita at country…

A: Coefficient of localization: The coefficient of localization is use for measuring the tendency of…

Q: The random variable X, the particle size (in micrometers) distribution is characterized by the…

A: We have given the random variable X, the particle size distribution is character

Q: The total number of hours, measured in units of 100 hours, that a family runs a vacuum cleaner over…

A: Introduction: Denote the random variable X as the duration (100 hours) for which a family runs their…

Q: A "punishment" game consists of two parts described as follows: • Step 1: Flip three fair coins, and…

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Q: Tell whether there is a significant difference in the mean serum cholesterol of individual who…

A: Given information: No. of variables=5, i.e. Weight, Exercise, Systolic Pressure (before the…

Q: In an experiment, A, B,C, and D are events with probabilities P[A]= 2/8, P[B]=3/24, P[C]=15/24, and…

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Q: ... u-41, consider the following. The amount of gold X (in ounces) that a prospec- tor digs in a a…

A: X and Y are independent if f(x)*f(y)= f(x,y)  Where f(x,y) is joint distribution of X and Y.  P.d.f.…

Q: A student committee is to consist of 2 freshmen, 4 sophomores, 3 juniors, and 5 seniors. If 11…

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Q: If  n(A) = 66, n(B) = 16, and n(A ∩ B) = 4, find n(A ∪ B).

A: Givenn(A)=66n(B)=16n(A∩B)=4

Q: 5. Show that for a discrete uniform random variable X, if each of the values in the range of X is…

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Q: If Y = 2x, then X and Y are not independent?

A: Independent and dependent variables: Two variables are said to be independent if the result of one…

Q: Use the following letters J,O,L,L,Y to explain the difference between "permutations" and…

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Q: Sven placed exactly in the middle among all runners in a race. In 10th place, Dan placed lower than…

A: Given: Sven placed exactly in the middle among all runners in a race means number of runners must be…

Q: container contains 50 green tokens, 20 blue tokens, and 3 red tokens. Two kens are randomly selected…

A: It is given that the number of green tokens is 50, blue tokens is 20 and red tokens is 3.

Q: c. Illustrate all the information on a two- stage binary communication channel in figure 2 below. A…

A: Please find the explanation below. Thank you

Q: 1. A normal population has a mean of 73 and standard deviation of 14. You select random samples of…

A: Given that  X~Normal(μ= 73 , σ= 14 ) μ= 73 , σ= 14 , n=9

Q: Consider the probability density function if x -4 + (x+4)³ Find Pr(X > –1|X < 3). Select one: 18 40…

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Q: 13. Estimate the number of employees earning at least 63 but less than Rs 75 from the following…

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Q: Describe the event U u E' in words. This is the event that an author is either unsuccessful or not…

A: It is given that Total = 100 Number of unsuccessful authors = 66 Number of not established authors =…

Q: What are fixed and chain base index numbers.

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Q: Explain the semi average method of trend estimation in a time series and give its merits and…

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Q: A Markov chain has the transition probability matrix 0.3 0.2 0.5 0.5 0.1 0.4 0.5 0.2 0.3_ In the…

A: * SOLUTION :-

Q: What is the expected foreign exchange rate?

A: here given  The current foreign exchange rate is 1 USD = Php 45. Assuming that the probability that…

Q: (2) Determine the areas under the normal curve given the mean of the distribution u = 80 and o =…

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Q: Giving a test to a group of students, the grades and ages are summarized below A В C Total Under 25…

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Q: 0.95 C 0.95 0.4 0.05 0.05 0.9 0.9 0.6 a) Draw a tree diagram for the given two stage binary…

A: Given: The channel is as below