14. A listing of all outcomes of an experiment and their corresponding probabilities is called a. probability distribution b. frequency distribution c. random variable d. subjective probability 15. In every probability distribution, the probabilities must a. Be increasing b. Add up to 1 c. Be constant d. Be decreasing 16. Which of the following represents a probability distribution? a. 1 2 3 4 5 f(x) 1/7 2/7 2/7 3/7 2/7 b. 4 8 12 16 1/6 2/12 1/2 1/12 C. 75 100 0.3 0.3 d. 6 12 0.5 0.08 X f(x) X f(x) X f(x) 50 0.5 3 0.3 9 0.1 15 0.02

Q: ・ An experiment consits of flipping the coins. Jet x be a random variable y hose values are the…

A: Solution

Q: If X is normally distributed random variable with a standard deviation of 48. Find the mean given…

A:

Q: Raphael Lorenz is playing a board game that had a spinner with eight-equal sized sections. Four of…

A: We have given Total number of section in the spinner = 8 Number of Blue section = 4 Number of white…

Q: 11. Four rockets are randomly selected from a lot of 11 rockets. If the lot has 5 defective rockets…

A:

Q: Determine whether the events are independent or dependent. Then find the probability.  In a game,…

A:

Q: What value of k will make the table a probability mass function? * X 2 4 6 2 k k P(x) 15 3 3 -1 1/3…

A: Solution-: We have following table: x 2 4 6 8 P(x) 2/15 k/3 k/3 1/5 We want to find value…

Q: What is the probability the barangay has a very high susceptibility to flooding given that it is…

A:

Q: The monthly advertising expenditure of the company is normally distributed with a standard deviation…

A:

Q: Which of the following is NOT a walk from A to D? A B E FO O Figure 1 D) AEFCD B) ABCD A) AEFEBCD C)…

A: We have to write which of the following is not walk from A to D.

Q: The information below is very:1. Arithmetic mean 2. Standard deviation 3. Skew modulus Speed range…

A:

Q: For each situation given below, do the following: A) Decide if the random variable is Poisson (or…

A: The probability mass function of the Poisson distribution is given as follows:

Q: A deck of cards has 4 gray, 3 blue, 5 white, and 6 green cards. You pick 2 cards from the deck.…

A: There are 4 gray, 3 blue, 5 white, and 6 green cards.

Q: fx (x) = Find the PDF fy (y) in the following cases: (A) Y VX (B) Y = In(X)

A: *Answer:

Q: Find P(x)= E(X), E(X²) for 5 ( ²² ) [2X-X²] {1+) other the ocx cz

A: Given function isp(x)={342x-x2      0<x<20                          otherwise

Q: A computer system uses passwords that contain exactly 20 characters, and each character is one of…

A:

Q: II. The following items appeared in a portion of the questionnaire to be filled up by an applicant…

A:

Q: How many 3-digit numbers can be formed from the digits 2,3,5,6, and 9, which are divisible by 5, if…

A:

Q: he scores in a test conducted to 500 students are normally distributed with a mean of 110 and a…

A: Given that  The scores in a test conducted to 500 students . The scores are normally distributed…

Q: Given: P(A) =0.70, P(B)=0.60, P(A or B) =0.88. Determine P(A and B). Given: P(A) =0.70,…

A: Given: P(A) =0.70, P(B)=0.60, P(A or B) =0.88. Determine P(A and B). Given: P(A) =0.70, P(B)=0.60,…

Q: A supermarket has 500 employees. They want to survey 50 employees about new options in the vending…

A: The following information has been given: The population size is N=500. The sample size is n=50.

Q: ou roll two dice at the same time. The total number of possible outcomes is: 36 Let A represent the…

A: Solution

Q: =tX > 0. The random variable X has moment generating function 1 Mx(t): t<λ. " [1 − (t/X)]² ¹ Use…

A: Solution

Q: 5.50 Find the probability that a person flipping a coin gets (a) the third head on the seventh flip;…

A:

Q: 2.103 A truth serum has the property that 90% of the guilty suspects are properly judged while, of…

A: Let us define some events A : a suspect is guilty. B : a suspect is innocent. E : the serum…

Q: A spinner with 10 equally sized slices has 4 yellow slices, 3 red slices, and 3 blue slices. Nicole…

A: Given Total number of spins by experimental=40 Total number of spins by theorotical=10

Q: a.     A discrete random variable can be described by the Binomial distribution if it satisfies four…

A: Introduction:  Binomial distribution:  The binomial distribution is one of the type of discrete…

Q: 3. Using propositions aided by two-column proof, show that AAB = AUB. (Just choose one direction to…

A: 3. A Δ B=A ∪ BThen ,A Δ B=(A ∪ B)-(A ∩ B)=(A ∪ B) ∩ (A ∩ B)C =(A ∪ B) ∩ (AC ∪ BC)=(A ∩ (AC∪ BC)) ∪…

Q: Nicole has a six-sided number cube. Each side was labeled with one number, from 1 through 6. What is…

A:

Q: Assumed a source produces only two digits ("1" and "0") with probabilities of 0.6 and 0.4, What…

A: P(1)= 0.6, P(0)= 0.4 (i). For zeros, n= 5, p= 0.4 Hence X~Binomial(5,0.4) P(x)= nCxpx(1-p)n-x…

Q: Find the mean, median and mode of the following ungrouped data. Then Identify if the mode is…

A: Mean is the  ratio of sum of observation to the number of observation  Median is the middle value…

Q: A Poisson distribution has a double mode at x = 4 and 5. Find that x will have either of these…

A:

Q: Question 2 LX has the following PDF: 120 fx (r) = otherwise Find the PDF fy (y) in the following…

A: Solution

Q: Look at the following picture. C || The number of vehicles coming from directions I and II follows…

A:

Q: 3. The alkalinity level of water specimens collected from a certain river is approximately…

A: Given,sample size(n)=20mean(μ)=50standard deviation(σ)=2.5

Q: Find the area under the standard normal curve to the right of z = 2.13 Ans is blank to the left of z…

A:

Q: 2. Your friend Carlos brought over 10 videos. Together, you choose 4 of them to watch. How many…

A:

Q: In the tile pattern for an arithmetic sequence of figures shown, each figure starting from the…

A: a) In the first figure there are 4 blue tiles, then there are 6 blue tiles , then there are 8 tiles…

Q: 25. Let X and Y be continuous random variables with joint density function for 0 <x < y S 2 f(x, y)…

A: Solution

Q: . Dementia is a common mental health problem affecting those over 65. It is believed that of those…

A: a) Assume that p is the true proportion of all patients, who worsen from dementia.

Q: If X has a uniform distribution U(0, 1), find the pdf of Y = ex with ndf

A: Given that  X be the uniform distribution (0,1)  Then we have to find the probability density…

Q: alculate P(2.9<x<3.7) Express your answer in DECIMAL FORM (2 decimal places)

A:

Q: 9. If two dice are rolled one time, find the probability of getting a sum greater than 6 and less…

A: Solution-: Tow dice are rolled one time. We want to find P(getting sum greater than 6 and less than…

Q: Q/ The quality control department examines all the products returned to a store by customers. An…

A: Given: n = 20 The proportion of defectives that are not repairable is 0.05 The proportion of…

Q: 2. (20 pts) Let the joint p.m.f. of X and Y be defined by f(x, y) = 3x + y 45 x = 1, 2, 3 y = 1,2 a)…

A: Solution

Q: 3. A probability mass function for a particular random variable y having nonnegative integer values…

A:

Q: EXAMPLE 2.1 A contractor is planning the acquisition of construction equipment, including…

A:

Q: Calculate P(2.7<x<3)

A: Solution-: The probability density function is, f(x)=16x            ; 2&lt;x&lt;4 We want to  find…

Q: Probability Island You will collect the data for the population of an island community. Then you…

A: The obtained number of births data is as follows Year Total boys (B) Total girls (G) Total births…

Q: asha and Rodrigo are in a class of 30 students that selects 4 leaders. How many ways are there to…

A: Given that

Q: Mang Carlo harvested the fruits in his farm. He have harvested 250 pieces of mangoes, 50 pieces of…

A: Data table:  Fruit Frequency Mangoes 250 Papaya 50 Banana 300 Apples 200 Oranges 150