e probability density function of the random variable X is given below. X∼N(11,121) Find the result of the following operation Var(X−11/7)+E(11X+7)+10P(X≤11)=? Note: Enter your result with the precision of three digits after the comma. Hint: Calculate the result for each of the three given terms one by one and add the three results you get to calculate the desired result

Q: Let X - Unif(0, 2) and Y - Unif(0, 1). Find the probability P(X > Y) that X is greater than Y

A: # Here  given that X~U nia,b       fx =1b-a   '   a≤x≤b  0            ' other

Q: Before doing laundry, an unlucky student must recover from illness for a number of days equal to the…

A:

Q: Using Cramer's V, find: 1. Which of the following has the highest percentage when the number of…

A: .

Q: In a sample of 24 cats from a population with a probability of 0.11 of having a coat of fur with…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: 5. A coin is weighted so that there is a probability of 0.7 that it will come up "Y", and a…

A:

Q: A random variable x has the following prob. function: S P(x-4) | |26|31|2|36|20 K 2K 3K K2 2K 4K²…

A:

Q: Fisn ranges from Scm to 4cm. They are normally distributed W| mean:84 cm and sd= 18cm. A). Fisn…

A: Let, X = Length of fish. X~Normal(μ=84, σ2=182) (A) A fish is selected at random. We need to find…

Q: 9. Given that f(x, y) = (2x+2y)/2k if x = 0,1 and y = 1,4, is a joint probability distribution…

A:

Q: A fair coin is tossed three times. Let R, S and T be three events such tha R: maximum one coin shows…

A: It is given that a fair coin is tossed three times. Therefore, Sample space is:…

Q: Assume that the coin is weighted so that Pr[H]=59, and that the coin is flipped until a head…

A: Given that the coin is flipped until a head appears, or 3 consecutive tails appear. The possible…

Q: None

A: Basic formula of probability:Probability = x/nwhere:x = number of favorable outcomesn = total number…

Q: (b) Consider the information given above. If the thirteen-sided die was fair (unbiased), then how…

A: Given that dice has 13 face and dice was fair.

Q: The unemployment rate in a city is 12%. If 6 people from the city are sampled at random, find the…

A: p(unemployed) = p = 0.12n = 6p(x≤2) = ?

Q: What is the probability that a randomly selected American adult has never been tested? Show work.…

A: From the given information, N(NT)=134,767 and N(T)=77,789.

Q: Let x be a binomial random variable with n = 5, x = 3 and p = 0.75; find P (3) using the binomial…

A:

Q: Find the probability !is pad.f. (2x+1) 15 x=1,2,3 p(x) = elsewhere

A: given p.d.f  p(x)=115(2x+1)   x = 1,2,3

Q: Assume that when adults with smartphones are randomly selected, 47% use them in meetings or classes.…

A: Solution: 2. Let X be the number of adults use their smartphones in meetings or classes and n be the…

Q: The probability that you will receive a wrong number call this week is 0.1. The probability that you…

A: From the provided information, Let A represent the event that he will receive a wrong number call…

Q: At the Skittles factory, a bag of Skittles is filled by a mechanical scoop. The scoop picks up 9,…

A: The objective of this question is to find the variance of the number of Skittles scooped up by the…

Q: Multiple Choice A fair coin is tossed three times. The random variable X is defined to be 2h, where…

A:

Q: It a and I are positive integers where a ≤ b and X is a random variable that takes valves with equal…

A: It a and b are positive integers where a ≤ b and X is a random variable that takes values with equal…

Q: Identify the discrete random variables (select all that apply). W = Travel distance to the nearest…

A: Solution-: We identify the discrete random variables

Q: Assume that when human resource managers are randomly selected, 48% say job applicants should follow…

A: According to the given information, we have Sample size, n = 11 Probability, p = 48% = 0.48

Q: 40% of Americans who travel by car look for gas stations and grocery stores that are close to or…

A: From the provided information, n = 30p = 0.40

Q: In a box containing 8 red balls, 8 green balls and 8 blue balls where 3 balls will be drawn in…

A:

Q: Determine whether the random variable is discrete or continuous. In each case, state the possible…

A: The given variable is the number of light bulbs burn out in a week.

Q: The PDF of a random variable is if x 3 f(x) = { a.) What is the value of A? 0, A (7+x)² ⁹ b.) What…

A:

Q: 0.15% 16% 100%. (After all, x-bar IS the mean of the sample!) 95% 99.7%

A: (1) The chance that x-bar will be 2 or more inches below the mean of the population.

Q: Why do we need scales of measurement?

A: In statistical analysis, scale of measurement is the type of information provided by numbers.…

Q: The numberof new cllents that a computer consulting firm obtalned each month has ranged from 0 to 6.…

A: Given data, Number of new clients 0 1 2 3 4 5 6 Probability 0.05 0.1 0.05 0.1 0.25 0.2 0.25

Q: A random number generator picks a number from 1 to 21 in a uniform manner.    The probability that…

A: Given information X ~ Uniform (α = 1, β = 21) Uniform distribution

Q: L) Compute the probability that the fourth 1 appears on the 10th roll

A:

Q: Ans, Yes, 3/4 Q.23 An integer is chosen at random from the first 200 positive integers. What is the…

A: In positive integers 1 to 200, 198 is the largest number which is divisible by 6. So there are total…

Q: QI b) Telegraph system has two symbols (dot, dash), assume time of the dot symbol equal 0.2 sec and…

A: Given that: Dot duration = 0.2 sec. Dash duration = 0.4 sec. Pdot=23Pdash=13…

Q: The time required for servicing transmissions is normally distributed with m = 45 minutes and s = 8…

A: Assume, X be the random variable representing the time required for servicing transmissions of car…

Q: The PDF of a random variable is if x < 4 if x ≥ 4 f(x) = { 0, A (7+x)²⁹

A: Given pdf is, fx=0, if x&lt;4A7+x2, x≥4

Q: Twenty-six perc Assume the vari probability of tl Source: Time n

A: I am giving solution of Part 3. Given information- We have given that it follows the binomial…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.