In how many ways can four elements be selected from A such that their sum is less than 45?

Q: In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use…

A: From the given information ,Total respondents = 201 + 296 + 376 + 138 + 117 .…

Q: Q 2 If X is a random variable with distribution X: 0 1 2 3 4 P(X): 0 K 2K 3K 4K Explain the…

A: From the povided information,X01234P (X)0K2K3K4K

Q: 26) Suppose Alice is deciding whether or not to go to a New York Giants game. Alice's enjoyment and…

A: 26)Newspaper reports chance for the snow=35%Giants chance of winning=40%P(snow)=0.35P(winning)=0.40

Q: Example: A coin is tossed five times and the number of heads is recorded. Find the probability…

A: It is given that a coin is tossed five times.The random variable is assumed to be the number of…

Q: Consider a non-negative discrete random variable X assuming values from {a1, a2,...}. Prove that…

A: The objective of the question is to prove that the expected value of a non-negative discrete random…

Q: c) Your subsurface team has determined the following thresholds and defined the associated events A…

A: Here, we are given the number of observations belong to each cell.We also know that the probability…

Q: Brand A Brand B 15.9 Brand C Brand D Brand E Brand F Brand G Brand H Brand I Brand J Brand K Brand L…

A: The data set of tar per cigarette is given

Q: Thickness measurements of a coating process are made to the nearest hundredth of a millimeter. The…

A: The thickness measurements are uniformly distributed with values…

Q: Consider a probability space (2, F, P) and consider a random variable, X Let Fx (x) be the…

A: The objective of this question is to prove that the difference between the distribution function of…

Q: Is there another way to solve this without this complicated formula?

A: The number of rolls of die, The number of faces of a die

Q: For the probability distribution, find a. X b. P(y> 2) c. F(y = 6) DA

A:

Q: Determine the number of permutations of 10 objects taken six at a time. Determine the number of…

A: Permutations and combinations are fundamental concepts in combinatorics, a branch of mathematics…

Q: A box contains one red, two blue, and three green marbles. Suppose that you are running the…

A: A box contains one red, two blue and three green marbles. Each marble has an equal chance of being…

Q: Randomly cut a line segment (0,1) into three pieces. What is the probability that these three pieces…

A: Let's consider a line segment of length 1, and we randomly cut it into three pieces. We can…

Q: a. A random variable X shows the distribution to curb the spread of the noble virus resulting into…

A: Random variable X represents the distribution of attempts/trials in the invention of the COVID-19…

Q: Let R = xmax - xmin be the range of a random sample of size n from a normal population with mean and…

A: It is given that:The random variable R denotes the range as:where, x is the random variable which is…

Q: Example: If one die is rolled, find the probability that the first "4" occurs on the eighth roll.…

A: A single die is rolled, and its outcomes are written as follows:

Q: 2. A probability density function (pdf) is defined by f(x, y) = [C(x+2y) 0<y<1,0 <x<2, 0 elsewhere.…

A:

Q: (b) Give E(X) and Var(X). (c) Give E(X | Y = 2) and Var(X | Y = 2).

A: Here given random variables are Joint pdf is given in table…

Q: . Courtney has 36 photos to arrange on a gallery wall. Part A How many arrays can Courtney make with…

A: Courtney has 36 photos to arrange on a gallery wall

Q: What would the expected value be if tickets were sold for $10 but there were 1000 tickets sold?…

A: To calculate the expected value (EV) for the raffle with the new parameters (tickets sold for $10…

Q: According to a magazine, as of January 2018, 8% of chief executive officers were women. Complete…

A: According to the given information,Probability of success, p = 8% = 0.08Sample size, n = 12Let X be…

Q: Inside a bag there are 3 green balls. 2 red balls and 4 yellow balls. Two balls are randomly drawn…

A:

Q: Problem 2. Suppose I have 10 cards, labeled 1 through 10. They're completely shuffled so every…

A: Suppose I have 10 cards, labeled 1 through 10. They're completely shuffled so every permutation is…

Q: An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the…

A: The percentage of Altigauge Manufacturing Company makes ELTs is 80% (i.e. )The percentage of Bryant…

Q: A certain virus infects one in every 200 people. A test used to detect the virus in a person is…

A: Let A be the event that the person is infected.Let B be the event that the person tests…

Q: Consider a probability space (2, F, P) and a random variable X defined on it. Recall the definition…

A: The objective of the question is to demonstrate that the distribution μX of a random variable X…

Q: For the probability distribution, find a. X b. P(y> 2) c. F(y= 6) f(y) = 0.10, 0.15, 0.20, X, 11 =…

A: y-2-1012f(y)0.050.100.150.20x

Q: Find the following probabilities, and explain what they mean in words: P(A|C) e.   P(C|A)       f.…

A: The objective of the question is to find the probabilities of various events and understand their…

Q: 1. a. The distribution function of the randoin variable X is given 0 F(x)=0.5 x 2}? P(50-tα, n-1…

A: The CDF of the random variable X is given by:The PDF corresponding to the above CDF…

Q: [5] Consider the private information model collects private signals. This is the model we covered in…

A: e-2-1012P(e)0.10.10.20.30.3

Q: Consider a Galton desk with 4 rows and 10 pins: We label the pins from 0 to 9, as shown in the…

A: Given the Galton desk with 4 rows and 10 pins:

Q: Find the value of k that makes the given function a probability density function on the specified…

A: From the provided information,The given function is:f(x) = kxIn the interval 2 ≤ x ≤ 6

Q: Directions: If the amount of milk in a gallon container is a μ normal random variable, with 128.2…

A: If the amount of milk in a gallon container is a random variable with 128.2 ounces and 0.2 ounce, We…

Q: Create a dot plot of the following data. Make sure to label the graph and both axes appropriately.…

A: The objective of this question is to create a dot plot of the given data, label the graph and both…

Q: For the cumulative distribution function, find a. U b. P(x> 2) c. F(x = 6) F(x)= Po 0.7, 0.9, x<1…

A:

Q: Lotteries The Sad State Lottery requires you to select a sequence of three different numbers from 0…

A: A sequence of three different numbers are to be selected from 0 through 40. Order of selection is…

Q: a) P(X> 6) =? b) P(X> 8) =? c) P(X < 2) = ?

A: For random variable X~N(6,2)μ=6,σ=2

Q: You have three bags of marbles, as shown below: the first has 3 blue marbles and 1 redmarble, the…

A: The objective of this question is to calculate the probability of drawing a red marble from a…

Q: Here are yesterday's high temperatures (in Fahrenheit) in 11 U.S. cities. 46, 47, 62, 62, 64, 67,…

A: The objective of the question is to find the five-number summary and the interquartile range for the…

Q: At a science fair, 4 different groups of students from a local school are showcasing their projects.…

A: At a science fair, 4 different groups of students from a local school are showcasing their projects.…

Q: What is the probability that the orks? Assume the components fail ently. 0.95 A = B لا 0.7 0 D

A: Answer P [A] = 0.95P [B] = 0.51- P [B] = 1-0.5 = 0.5P [C] = 0.71- P [C] = 1-0.7 = 0.3P [D] = 0.9

Q: Consider the following three events: (a) At least 1 six is obtained when six dice are rolled, (b) at…

A: Here given that there are three events a) at least 1 six is obtained when six dice are rolled, b) at…

Q: A convenience store has two separate locations where customers can be checked out as they leave.…

A: Here, be the number of cash registers being used at a particular time for location  and the number…

Q: 6. DETAILS SMITHNM13 13.4.047. (a) P(two red marbles) with replacement without replacement Assume a…

A: "Since you have posted multiple questions we will provide solutions only to the first  question as…

Q: A random sample of 18 winter sport competition participants yielding a sample standard dievation's=5…

A:

Q: A basketball player makes 70% of her free throws. When fouled, she gets to take two free throws. Let…

A: It is given that the probability of players makes free throws is 0.70.

Q: I need help with this please: A nationwide survey of college seniors by a university revealed that…

A: The provided information is as follows:The total number of seniors is .The probability of…

Q: Semiconductor lasers used in optical storage products require higher power levels for write…

A: Imagine you're a quality control engineer at a company producing lasers for optical storage. You…

Q: An employee is selected from a staff of 14 to supervise a certain project by selecting a tag at…

A: Answer,x representing the number on the tag that is drawn.