p.d.f. h(x) of the random variable x is defined by h(x)=3/(4(1-x²)),-1

Q: 55 Prove that the functio: probability density F Given f(x)= 2(1-x) and (0<x< ضافة ملف

A: Solution

Q: What is the value of the 50th percentile in a Standard Normal distribution (mean = 0, standard…

A: The mean is 0 and the standard deviation is 1.

Q: 3. [Maximum mark: 5] The times taken for a group of runners to complete a half-marathon are found to…

A:

Q: if the scores of samples of students are 11 12 10 11 16 11 15 (a)15 (b)11 (c)10 then mode is :

A: Given Data 11,12,10,11,16,11,15

Q: next problem with the production line diagnosed as being due to an initial repair that was…

A: Here use probability tree and Bayes rule

Q: Question 6 A simple dice game involves the player paying $1 to play. Two fair six-sided dice are…

A: Given information:- x P(X = x) x*P(X = x) x2*P(X = x) -1       1       4       10

Q: An ordinary (fair) die is a cube with the numbers  1  through  6  on the sides (represented by…

A: A fair dice has 6 possible outcomes as 1,2,3,4,5,6. The total number of outcomes if a die is rolled…

Q: Q2/suppose there were six kinds of toppings that one could order for a pizza. How many combinations…

A: Here given there were six kinds of toppings that one could order for pizza  Here use counting…

Q: 3. Random samples of four different kinds of cereal show the following number suggested serving size…

A: Anova is used to measure the mean significance between three or more groups. It is a type of…

Q: The following table gives the data for the average temperature and the snow accumulation in several…

A:

Q: The speed of a file transfer from a server on campus to a personal computer at a student's home on a…

A:

Q: 0.10, and 0.20, respectively, what is the probability that the system functions?

A: here given ,  p(A') = probability of A fail =  0.10 , so p(A) = 1- p(A') = 1 - 0.10 = 0.9  p(B') =…

Q: In an experiment where 2 balls are drawn successively at random without replacement from a box…

A: Given Information: A box contains 2 Red, 3 Green, and 2 Blue balls. Two balls are drawn at random…

Q: from. Determine the number of ways the greenhouse could select 4 tropical plants and 4 exotic plants…

A: here given ,  A local greenhouse is creating a plant display for a mall. The greenhouse currently…

Q: Q5. An electronic assembly consists of two subsystems A and B. The following probabilities are…

A: Given that, an electronic assembly consists of two subsystems A and B. The following probabilities…

Q: Mathematic 10-19 20-29 30-39 40-49 50-59 60-69 degrees Pupils (fi) 2 5 11 25 31 27 Find the (1)Mean,…

A: Given data is Mathematic degrees  Pupils(fi) 10 - 19 2 20 - 29 5 30 - 39 11 40 - 49 25…

Q: Given the following: Number of births between 30 June 2009 and 30 June 2010 in Australia was…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Suppose you roll two five-sided dice (each with sides labeled 1 through 5).  What is the probability…

A: The sample space for two five-sided dice is : S= {(1,1)(1,2)(1,3)(1,4)(1,5)…

Q: Q3: If the probability that student (A) will solve a particular problem is (0.8), the probability…

A: P(A) =0.8 P(B)=0.7 P(C)=0.5 We can see,  A, B, C are independent events. We have to calculate…

Q: Each license plate in a certain state has five characters (with repeats allowed). Here are the…

A: Given dataEach license plate in a certain state has 5 characters (with repeats allowed) character…

Q: A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without…

A: We know that the the probability of the any event is the ratio of number of outcome of event to the…

Q: The weights of ice cream cartons are normally distributed with a mean weight of 7 ounces and a…

A: Standard normal distribution is a type of normal distribution expressed in z-score.

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that all are…

A:

Q: 1. What is the probability that a student selected at random is a boy? PB = 285/465 2. What is the…

A: The total number of students is 465.

Q: The means of 6, 6, 6, 6, 6, 6 is 6?

A: NOTE-AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY  here mean  = ∑xn

Q: 3 A card is drawn from a full pack of 52 playing cards. If the card drawn is an Ace, King, Queen or…

A: As Prof. N. G. Das said "If there are n mutually exclusive, exhaustive and equally likely outcomes…

Q: Suppose that the joint probability mass function of X and Y is X... Op 1+ 2+ Yo -1+ 0.05 0.1 0.1 0…

A:

Q: A variable that can assume any value between two given points is called Continuous random variable…

A: In above question we will discuss about continuous random variable and whether above statement is…

Q: Consider the circuit. Suppose that the probability of a device functioning correctly is pw = 0.92…

A:

Q: If the probabilities that an automobile mechanic will service 3,4,5,6,7,8 cars on any given working…

A: Given that, the probabilities that an automobile mechanic will service 3,4,5,6,7,8 cars on any given…

Q: 1) Three missiles are fired at a target. If the probabilities of hitting the target are 0.4, 0.5 and…

A: Solution

Q: If 'X' is a continuous random variable, then the expected value is given by

A: here use property of Continuous Random variable

Q: For the values 2, 4, 6 thee variance is 1.66 O 2.77 O 2.11 O 1.33 O 2.66 O O

A:

Q: 15. Lottery Prizes A lottery offers one $1000 prize, one $500 prize, and five $100 prizes. One…

A: The answer is attached below,

Q: 6 27 30 33 36 interdictele sal Probability and Odds of Adjusting the Radio While Driving in Three…

A:

Q: A teacher wants to determine which factors can significantly predict academic performance in…

A: Regression Analysis: A regression is helpful in forecasting a factor using one or more factors. For…

Q: Q5//Four technicians regularly make repairs when breakdowns occur on an automated production line.…

A: Given Information: PHamza=0.20 PYousof=0.60 PAbdulrahman=0.15 PMostafa=0.05 PRepair | Hamza=120=0.05…

Q: CC (ANC) (ANC) C C 1. True 2. False

A: From the graph, A∩C=C   (i) C⊂(A∩C)⇒C⊂C⇒which is true since every set is the subset of itself…

Q: Suppose· X · has probability-density-function (p.d.f) fx(x) = 7(1+x²)³ ° which one is the p.d.f..…

A:

Q: 7. Suppose the odds of Barcelona winning La Liga are 11:12 and the odds of Real Madrid winning are…

A: Answer: 7-  Given the odds of Barcelona winning La Linga are 11:12  and the odds of Real Madrid…

Q: (1) Find the two-step transition matrix

A: here given Markov chain has the transition matrix  0.40.10.50.30.70100

Q: A group of 30 manufactured of concrete pipes contain 8 defective pipes and 22 non-defective pipes. A…

A: Solution-: Given: N=30, n=5,M=8, X=3 We want to find P(exactly 3 defective pipes)=?

Q: In a particular week, the probability that it will rain is 75% each day. What is the probability…

A: Given data in a particular week the probability that it will rain is 75% each day.

Q: Activity Measures of Variability 2. Standard Deviation Athletes from China, Philippines and Korea…

A: Measure of dispersion is used to measure the data deviated from the mean. It used to summarize the…

Q: Let probability that a child will be born with black eyes is 1/3, determine the probability that…

A: It is given the probability that a child will be born with black eyes is 1/3 i.e. p=1/3. It has been…

Q: s the given statement true or false? nC₁= "Cn-r

A: Here For Combination  nCr= n!r! (n-r)!

Q: In a carnival game, a contestant has to first spin a fair coin and then roll a fair cubical dice…

A: P(prize won)=P(coin shows heads) and P(dice score is lower than 3) The event that the coin shows…

Q: Problems 1. Consider a discrete random variable X with the following pmf: 1 x = 1,2,..., Px(x) = x(x…

A: * SOLUTION :-

Q: Q2/suppose there were six kinds of toppings that one could order for a pizza. How many combinations…

A:

Q: Find the σ2 and σ  for rolling two dice.

A: