8. A continuous random variable X has probability function defined by 0 < x < 1 2' zx + 1, x+1, 1 ≤ x < 2 f(x) = x 1, 2 ≤ x < 3 otherwise Find the cumulative distribution function, F(x). Hence determine a. P(X>1.5) b. P(X ≤ 2.5) C. P(0< X < 2.5) - 1 12

Q: Question 10 Consider the model of competitive insurance discussed in lectures (Topic 6.7). Peter is…

A:

Q: Find the probability distribution of X (Hint: You have to create a table.). (b) Find 2x+3. (a)

A: here given , the process produces 25% defectives ,

Q: An industrial engineer has found that when she takes a sample of size 5 of a product, 90% of the…

A: Solution: As per the guidelines first question should be answered if multiple questions are posted.…

Q: A class in Engineering Data Analysis consist of 6 women and 4 men. Their grades are calculated, and…

A:

Q: Ex1: A batch of parts contains 100 from a local supplier of tubing and 200 from a supplier of tubing…

A:

Q: (a) Find the expected value of playing the game. dollars (b) What can Isabel expect in the long run,…

A:

Q: Part 1 a. What is the probability that a ball bearing is between the target and the actual​ mean?…

A: AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  here given  , An industrial sewing machine uses ball…

Q: X 1. Given the joint density function a f(x,y)=2xy. If X exists on the interval [2,5] and Y on the…

A:

Q: 5. Calculate the value of k so that the function f(x) = k/5ª. N, set a probability function of a…

A:

Q: Teddy Equipment Rental (TER) rents farm equipment in an agricultural town in Texas. Five customers…

A: Given the data regarding the arrival and service times of five customers in Teddy Equipment Rental…

Q: Question 14 Let A = {2,4,6,8,10,12) and B=(3,6,9,12,15). Find An B. O {10,12} O {2,3,6,15) O {6,12}…

A:

Q: Need proper and accurate solution of all parts: (a) Show that for a Poisson distribution the mean is…

A: (a) The objective is to show that the mean is equal to the variance for Poisson distribution.

Q: b) Suppose we pick a random card from a full deck of 52 cards. Let S = {card is an Ace, two or three…

A:

Q: 9. Given two independent variables X and Y with a uniform distribution between [1,3]. Yes W=max(XY),…

A: As per bartleby guidelines we can solve only first question and rest can be reposted

Q: A patient fills a prescription for a 10-day regimen of 2 pills daily. Unknown to the pharmacist and…

A:

Q: Find the probability that the student did NOT get an "B"

A: here given ,  there are total 55 students are giving test  here use basic Probability

Q: A random variable Z is normally distributed with mean and variance are 0 and 1 respectively.…

A: Solution

Q: Question-1 The Table given below presents the thickness of a metal layer on 50 silicon wafers…

A: For the given data, We have to calculate relative frequency histogram. Relative frequency =…

Q: (a) not explode during lift-off; (b) explode during lift-off or have its guidance system fail in…

A: here define events  Rocket will explode during lift -off  = A Guidance System fail in flight  = B

Q: Pls help ASAP. Pls show all work. Pls do both of the asked questions pls i BEG.

A: Since you have posted a question with multiple subparts we will solve first three subparts for you.…

Q: Suppose that X has a Poisson distribution with a mean of 4. Determine the following probabilities:…

A:

Q: 13. Which of the following expressions represent D. 480 the number of possible ways choosing 3…

A: here as per policy I have calculated first main question  here use combination

Q: Use the following information to answer the next question. A child has a box containing 8 toy cars…

A: 8)  A box contains 8 toy cars and 6 toy trucks. The boy reaches in and randomly selects 2 toys one…

Q: What is the probability of flipping a coin 50 times and getting tails 24 times or fewer? Round your…

A: Let p be the probability of getting a tail. Then p = 0.5 Let X denote the number of tails in tossing…

Q: Question-5 The PH level for water samples from the lake is a random variable with probability…

A: A continuous random variable is a variable whose value can be obtained by measuring. A continuous…

Q: There were 254.8 per 100,000 per year Myocardial deaths in the aspirin group compared with 439.7 per…

A: Given:Aspirin group myocadial deaths per 100,000 year =254.8Placebo group myocadial deaths per…

Q: Using high school records, Johnson High school administrators selected a random sample of four high…

A: Given data: Garfield Junior High Mulberry Junior High 8 70 52 202 112 144 21 175   146…

Q: Q4/ If the semester average: for the first semester = 8, for the second semester = 7, for the third…

A:

Q: questions pls i BEG.

A: The normal distribution with mean and standard deviation μ and σ respectively into a particular…

Q: Directions: Write the letter of the correct answer before each number. For items 1 to 4, consider…

A:

Q: How many ways that two girls and 4 boys can fall in a line of there must be a girl and a boy in the…

A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…

Q: then E(y) and V(y) are

A: here given , y =  5x-1  E(x) = 2,  v(x) = 1

Q: A six-sided fair die is rolled two times. Arrange the events in order from the event with the…

A:

Q: Consider the following two probability distributions: g(x) = 5! (0.99) (0.01) 5- x! (5-x)! x = 0, 1,…

A:

Q: Jen is planning a vacation. To help her choose a hotel, she looks at some reviews. The table shows…

A:

Q: Note: For the syntax in this problem, you'll see the usual curly braces appear as the following…

A:

Q: A grocery store Sells 18 flavors of pudding. If they select 5 different flavors, how many Selections…

A: The total number of flavors is 18.

Q: Suppose the joint PMF given in the table. (a) Find P(Y ≥100). (b) Determine PX (x) and PY ㅍ(y). (c)…

A: Given that  The joint probability mass function of X and Y is  x\y 0 100 200 100 0.20 0.10 0.20…

Q: Economics class that consist of 40 students took a test. Determine the probability if we randomly a…

A: The number of boys is 16 and the number of students failed is 4.

Q: What is probability of getting blue candy? 2. What is the probability of getting red candy? 3. What…

A: here,  there are total 42 candy  total 14 blue candy , 6 yellow candy  , 4 orange candy  , 10 purple…

Q: The data show the chest size and weight of several bears. Find the regression equation, letting…

A: The following information has been given: x y 36 296 56 570 50 501 39 353 49 487 42…

Q: 5b A committee of 8 members is to be formed from a group of 7 women and 5 men. i.) Calculate the…

A:

Q: To win a lottery game, the player must select 3 out of 25 numbers cor- rectly and 1 out of 15…

A: here given ,  to win a lottery game , the player must select 3 out of 25 numbers correctly and 1 out…

Q: Ex 7: Let X denote the number of bits received in error in a digital communication channel, and…

A: Given,n=1000p=0.001q=1-0.001=0.999A random variable X~Binomial(n=1000 ,…

Q: Chi-Square distribution is a special case of Gamma distribution with degree of freedom r = 1 where

A: Gamma distribution: Gamma distribution is a continuous probability distribution. It belongs to a…

Q: You wish to determine if there is a negative linear correlation between the age of a driver and the…

A:

Q: The life X in months of a certain light bulb is a random variable with exponential density. What is…

A: The mean is 20.

Q: 4. If 1! is equal to 1, then 0! is equal to A. 0 C. 2 B. 1 D. 3 7! 5. Simplify (7-3)! A. 190 C. 210…

A: For the given Select the correct choice ?

Q: A physicist claims that the average wind speed in a certain city is 8 miles per hour. A sample of 33…

A: Given information: n=33x=7.9μ=8s=0.6α=0.10

Q: The moment generating function M (t) for random variables y are as follow. Examine and identify the…

A: