Instructions: • Write the GIVEN with their respective symbols and units. Do not skip the SOLUTIONS, do it step-by-step with their respective symbols and units Problem: One piece of pipe 21 meters long is to be cut into two pieces, with the lengths of the pieces being in a 2:5 ratio. What is the length of the shorter half? а. 6 b. 9 С. 11 d. 15

Q: Consider the probability density function if x 1. 2x4 Find E(X). Select one: | -IN -|0 O O O O

A: Obtain the expected value of E(X).   The expected value of E(X) is obtained below as follows:   From…

Q: 18. Fit a straight line trend for the following data. 1997 1996 1998 1999 2000 Year: Per capita: 25…

A:

Q: SITUATION 4 Consider the following two probability distributions: f (x) 5!(0.99) (0.01)*- æ!(5-a)! х…

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Q: Instructions: • Write the GIVEN with their respective symbols and units. • Do not skip the…

A: Given that  n=4 , p=1/3 , q=1-p=1-(1/3)=2/3 X~Binomial(n=4,p=1/3) p=Probability of winning game…

Q: Example 35. Calculate Median and Mode for the following distribution: Production per day (in Tons):…

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Q: Which probability distribution is appropriate when the events of interest occur randomly and…

A: We have given the following statement about the probability distribution.

Q: In a group of people everyone rolls a die. What is the smallest number of people that should be in…

A: When some objects are arranged or a rearrangement is made for a number of objects arranged in an…

Q: You have 3 science books, 2 language books, and 4 philosophy books. In how many ways can they be…

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Q: and you win the number of dollars shown on the ball. • Bag A contains four (4) balls in total:…

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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: Michael is taking 4 courses during the present term. In each course, he can receive one of 5…

A: Introduction: It is required to find the number of possible combinations of grades that the student…

Q: You may be conducting a study on why high school students choose community college over university.…

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Q: 16. The following table describes speed post rates from 1975 to 1987 Year: 1975 1976 1977 1978 1979…

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Q: A time traveler can take three books with him he has 100 books to choose from how many different…

A: Number of book=100

Q: The probability of a man hitting a target is 1/3. How many times must he fire so that the…

A: Given P(at least once)>0.9 P(hitting a target)=1/3

Q: 12x²(1– x) for 0sxs1 f(x) = %3D otherwise

A: Solution

Q: VI. De-Morgan's Laws : If A, B and C are any two sets, then (i) (A U B) = A'O B (ii) (An B) = A'U B'

A:

Q: Past experience indicates that the time required for high school seniors to complete a standardized…

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Q: The joint PDF of X and Y is given as 0<x<y<1 (2, f(x, y) = Q. otherwise

A: Given: f(x,y)=20≤x≤y≤10otherwise

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: We have the following value pairs: { (X,Y) } = { (1, 10), (2, 12), (1/3, 2) }. We know that the…

A: Given that { X,Y } = { (1, 10), (2, 12), (1/3, 2) } Y = A + B/X

Q: Question 10

A: Given Information: Ginkgo: Sample size n1=104 Sample mean x¯1=5.6 Sample standard deviation s=0.6…

Q: on a shelf with space for seven books. What is the probability that all the books in the same…

A: HERE given there are total 7 books  3 french books and 4 spanish book

Q: The joint pmf of X and Y are given in the table below: Y X 2 4 2 15 6 15 1 15 3 2 15 3 15

A: Here we have to find the variance V(Y) from the given joint distribution table

Q: A Trick-or-Treat basket contains 16 bite-size Snickers and 14 bite-size Toblerone. If a child in…

A: Given that  Total chocolate=16+14=30 Snickers chocolate=16 Toblerone chocolate=14 2 chocolate are…

Q: (a) all 5 will survive the test (b) at most 2 will survive the test?

A: here given, lot of 10 construction material , 5 are selected randomly and tested  if lot contains 3…

Q: Jim rolled a 6-faced die for 29 times and recorded the numbers he obtained. The frequency of each…

A: From the given data we find the solution.

Q: Professor Tough's final examination has 20 true-false questions followed by 3 multiple-choice…

A:

Q: 17. Fit a straight line trend by the method of least square. 1990 1991 1992 1993 1994 1995 1996 1997…

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Q: Based from the record, the mean weight of the newborn babies is 4.8 lbs with a standard deviation of…

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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: Example 8. In a survey of Magazine 10,000 families it was found that 4000 families buy Magazine A,…

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Q: use the probability of the union of two events, independent, or dependent events in solving the…

A: The union of two sets are calculated by adding two event and subtracting the intersection of two…

Q: A coin is tossed 3 times. What is the total number of all possible outcomes if there is exactly two…

A:

Q: Based on the data shown below, calculate the regression line (each value to two decimal places) y =…

A: Given that    X Y X \cdot YX⋅Y X^2X2 Y^2Y2   5 20.5 102.5 25 420.25   6 21.85 131.1 36…

Q: Deeall th at the gamma qun etion is dycned as amm a S. yas r>o. you c an use nithout prooy that'…

A: Solution

Q: The calculations for a factorial experiment involving four levels of factor A, three levels of…

A: For the given data Fill all the required blanks

Q: The joint pmf of X and Y are given in the table below: Y X 4 2 2 15 15 3 15 15 15 123

A:

Q: A die is loaded such that the odd numbers have the same chances of occurrence, the even numbers have…

A: Let p be probability of observing 5, than by given condition probability of observing 4 is 2p As it…

Q: (Drawn from Exercise 12.7 from Bodine et al) Mary has just learned her father has been diagnosed…

A: Given that, Mary recently learned that her father had Huntington's chorea, a disease caused by a…

Q: A certain electronic component is produced by two manufacturers A and B. Units from A are more…

A: Given information: P(Defective)=P(D)P(Non…

Q: Show that if B1, B2, and B3 are independent events then B1 and B2 U B3 are independent. Furthermore,…

A: Two events are said to be independent if the occurrence of one of them does not depend on that of…

Q: n+1 n+1 a + b Example 9. For what value of n, is the arithmetic mean of a and + b" b?

A:

Q: Based on the data shown below, calculate the regression line (each value to two decimal places) y =…

A: From the provided information, x y 5 11.3 6 12.52 7 11.54 8 12.86…

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: The heights of American adult males are normally distributed with a mean of 177 cm and a standard…

A: Empirical rules:1) P(μ-σ&lt;X&lt;μ+σ)=68%2) P(μ-2σ&lt;X&lt;μ+2σ)=95%3) P(μ-3σ&lt;X&lt;μ+3σ)=99.7%

Q: The random vector (X,Y) has joint pdf 0<y <x < 0 elsewhere fxv (x, y) = Cee %3D %3D (a) Find C (b)…

A:

Q: and Y have joint probability density function f(x,y)=6x,0<x<1,0<y<1-x 0,elsewhere. ermine whether…

A: *Answer:

Q: If you are to test a hypothesis about a given set of dependent or correlated sample, what…

A: To test the correlation we use t test. Test statistic t for testing correlation is given by, t=…

Q: false about random number generation:

A: To find the wrong statement of random number generation as,