If E denotes the expectation the variance of a random variable X is denoted as? a. (E(X))² O a. O b. 2E(X) O C. E(X²) d. E(X²)-(E(X))² O

Q: 2) - Consider Three g The other either four with all 6 four S them Six-Sided are one number odd…

A:

Q: 4. The number of kilograms of bananas sold by a certain fruit vendor over a year follows a Poisson…

A: Given,average no.of bananas per day(λ)=52mean(μ)=52standard deviation(σ)=52

Q: Q6/ Find the probabilities that a random variable having the standard normal distribution will take…

A: For a  standard normal distribution, Mean = 0 and standard deviation = 1

Q: The probability that Mr. Johnson goes for an evening walk on any given day during the winter is…

A: Formula : E(X) = np'

Q: 7. (简答题 6.0分) Suppose that 75% of people in a certain metropolitan area live in the city and 25% of…

A:

Q: Find the following probability for the standard normal distribution. P(Z ≥ 0) O 0.5 0.68 O 0.025

A:

Q: 6. (简答题, 9.0分) f(x)= Suppose that the random variable X has the following density function (1) Find…

A:

Q: From a deck of 52 cards (Ace, 2, 3…….10, Jack, Queen, King; with each one having  clubs or flower,…

A: According to our policy we can answer only first three part for remaining please repost the…

Q: Q6/ Find the probabilities that a random variable having the standard normal distribution will take…

A: Givena)between 0.87 and 1.28

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: For the given probability distribution, X f(x,y) 1 2 5 0.25 0.2 y 10 0.2 0.15 15 0.15 0.05 Determine…

A: Solution

Q: particle is moving on the unit circle x² + y² = 1 at the constant angular ng at the initial position…

A: Oo

Q: You have the following pairs of socks in your suitcase: 2 white, 1 red, 3 blue and 4 black. A.) If…

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

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

A: Solution

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

A:

Q: 4. In a Bell System study made in 1961 regarding the dialing of calls between White Plains, New…

A: Answer 4:- Given probability distribution of X                 i 1 2 3 4 5 Px(i) 0.50 0.30 0.12…

Q: The probability a machine has a lifespan of more than 5 years is 0.8. Ten machines are chosen at…

A: The probability a machine has a lifespan of more than 5 years (p) is 0.8.

Q: Calculate the means and standard deviations of:37, 26, 19, 21, 19, 25, 17 O a. 3; 7.141 b. 3;2.414…

A: Given n=7 37,26,19,21,19,25,17

Q: A scheme of random number generator is described as follows. First, one generates a normal random…

A:

Q: Two cards will be drawn one after the other from a standard deck of card. Event A represent a heart…

A: Given that two cards will be drawn one after the other from a standard deck of card. Event A…

Q: 1. A manufacturing plant consists of four machines, independently operating, to produce a certain…

A: Given:The data is given.

Q: What is the number of distinct arrangements of all the letters in the word CELLPHONE

A: Useful formula: n!=n*(n-1)*(n-2)*(n-3)*..........*3*2*1

Q: a. The standard deviation is 2.4. Find and interpret the range. b. The quartiles are Q1-0, median=0,…

A:

Q: The probability a machine has a lifespan of more than 5 years is 0.8. Ten machines are chosen at…

A: GivenThe probability a machine has a lifespan of more than 5 years(p)=0.8sample size(n)=10Let "x" be…

Q: Mr. Foster is a librarian at Central Library. In examining a random sample of the library's book…

A: The number of books had no damage (x) is 814.

Q: 10-When you toss a coin once, what is the probability of getting the picture and the writing…

A: here when tossing coin , there are two possible outcomes are picture and writing

Q: Q3/ The probability that a consumer will rate a new antipollution device for cars What are the…

A: Given: P(Very Poor) = 0.07 P(Poor) = 0.12 P(Fair) = 0.17 P(Good) = 0.21 P(Very Good) = 0.32…

Q: .Find the standard deviation of -2, 7.2, 6.9, -10.4, 5.3 6 .a .b O 7.CO 6.78 .d O 6.9

A: Given data is -2,7.2,6.9,-10.4,5.3sample size(n)=5

Q: Calculate the means and standard deviations of:37, 26, 19, 21, 19, 25, 17 3: 7.141 O a. b. 3; 2.414…

A: From the provided information, Number of observations (n) = 7

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: 1. At the horse races, the chances of a horse winning is expressed as odds against. In the first…

A: Dear student according to the guidelines we solve only first question when multiple unrelated…

Q: .) Create a probability distribution for a player’s winnings in one game. b.)Find the expected…

A: here given , A casino game involves a deck of 20 cards, 3 of which have a gold star on them. A…

Q: p.d.f. h(x) of the random variable x is defined by h(x)=3/(4(1-x²)),-1<x< 1,Calculate the standard…

A:

Q: r A continous random variable x has p.d.f.,then f(x) >;0 a O It; f(x)==0 f(x) >==0 f(x) >=1 .b O .CO…

A: fx is probably density function that must be positive.

Q: Q6. In a Survey, 85% of the people interviewed were unaware that maintaining a healthy weight could…

A: Given,n=20p=0.85q=1-0.85=0.15A random variable X~Binomial(n=20 , p=0.85)P(X=x)=20x0.85x0.1520-x  ;…

Q: If E denotes the expectation the variance of a random variable X is denoted as (E(X))^2 - E(X) True…

A: We will check above statement is true or false by using variance in expectation form

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: . A random student will be selected from the College of Engineering. The number of male (B) and…

A:

Q: A random variable X has unknown mean and variance o² = 25. To determine the mean u, one may…

A: Given : Population variance=25 E=0.01 Significance level =95%

Q: The number of kilograms of bananas sold by a certain fruit vendor over a year follows a Poisson…

A: GivenAn average 52 kg of bananas per day λ=52

Q: 2. The mode can be found from the ascending aggregate curve (a) true (b) false

A: We know that the mode is the most frequent observation in the data.

Q: 1. When choosing one skittle, are the events "selecting a red skittle" and "selecting a blue…

A: HERE as per GUIDELINES I HAVE CALCULATED 3 SUBPARTS here given ,  there are total 15 +16 +12 + 14 +5…

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: 1. Consider discrete random variables X and Y [BLAK 1979] with the joint pmf as shown below: Y X -1…

A: Solution-: We have following table: X\Y -1 0 1 -2 1/16 1/16 1/16 -1 1/8 1/16 1/8 1 1/8…

Q: selected at random, find the probability that he/she owns a credit card, given that the employee is…

A: own CC No CC Total  Teaching  25 35 60 Non teaching 29 11 40 Total 54  46 100

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: A student is drawing one candy from a bag containing 14 Smarties, 8 Kit-Kats, and 4 Coffee Crisps…

A:

Q: (a) Determine the mean = (b) Determine the Standard Deviation (c) Determine the Coefficiet of…

A: here given , A concerned parents group determined the number of commercials shows in each of the…

Q: upvote.

A: Total number of students in the group = 10 Number of grade 11 students in the group = 3 Probability…