At a high school, 64 students play video games during their free time, 74 students ride skateboards, and 33 students play video games and ride the skateboard. How many students engage in at least one of these activities in their free time? (Enter your answer in the box below).

Q: A population has mean = 159 and a standard deviation o=22. Find the mean and standard deviation of…

A: Given,Population mean, μ = 159Population standard deviation, σ = 22Sample size, n = 54

Q: Assume that you assign the following subjective probabilities for your final grade in your…

A: GradeProbabilityA0.20B0.50C0.20D0.08F0.02the standard GPA scale of 4=Athe standard GPA scale of…

Q: Find the z-scores for which 80% of the distribution's area lies between -z and z. Click to view page…

A: From the provided information,80% of the distribution's area lies between -z and z.

Q: Suppose that a random variable X has the following probability density function. f(x) = { 0 SC…

A: f(x)=c(64-x2); 0≤x≤8

Q: (1) What is the probability that exactly 6 of the characters are digits? (2) What is the expected…

A: Given,the exam will consist of a sequence which students will have to write in stats class. They…

Q: Determine the following probabilities: i) the probability that the individual was unemployed = P(A)…

A: Categories of Employment status:A: UnemployedB: Employed.Categories of highest level of school…

Q: i) What is the probability that a consumer will need to pay for signit mechanical repairs less than…

A: A certain car make and model is under warranty for the first 10 years after being purchased, so will…

Q: On a standard normal distribution, what percentage of scores lie within 2.94 standard deviations on…

A: To find the probability that a score lies within 2.94 standard deviations on both sides of the mean…

Q: 6. Ten cards are dealt from a standard deck. (a) What is the expected number of queens? (b) What is…

A:

Q: Find the indicated area under the standard normal curve. To the left of z= -0.44 and to the right of…

A: Solution-:Let, Z- be the standard normal random variablewe want to find,P( Left of z=-0.44 and right…

Q: For mated pairs of gallinules (type of water bird), let X equal the weight in grams of the male and…

A: It is given that X denotes the weight of the male and Y denotes the weight of the female.X and Y…

Q: random variable X is given in the following table. Find the standard deviation of the random…

A: PMF of Xx-2-1012P(X =x)0.160.170.300.150.22

Q: this helps... but the question is asking what is the expected times we would flip a head. My…

A: To solve this problem, we can consider the cases where we flip a head in the first, second, third,…

Q: There are n ≥ 3 friends sitting in a circle around a campfire, each with exactly one s’more. The…

A: Suppose that the friends sitting in a circle, and let's label them from 1 to n (n>=3) clockwise.…

Q: Prove that if X and Y are non-negative independent random variables, then X^2 ⊥ Y ^2. Prove using…

A: Given that X and Y are independent random variables, we have:

Q: Flip a balanced die 5 times. Let X be the total number of 5 or 6. Then, X ~?, E(X) =?, V(X) =?.

A: Flip a balanced die 5 times & Let X be the total number of 5 or 6.Number of trials =5Find X…

Q: SCUBA divers have maximum dive times they cannot exceed when going to different depths. The data in…

A: Given observation and calculation is shown belowDepth (X)Dive time…

Q: Imagine you have a bag containing 5 red, 3 blue and 2 orange chips. If drawing without replacement,…

A: Given,Number of red chips, n(red) = 5Number of blue chips, n(blue) = 3Number of orange chips,…

Q: If the random variable X and Y are independent of each other. X~N(0,1) and the probability mass…

A: If there is no relationship between the random variables X and Y. X~N(0,1), and P(Y=0)P(Y=1)=1/2 is…

Q: In a classroom there are 28 tablets which include 5 that are defective. If seven tablets are chosen…

A: In a classroom there are 28 tablets which includes 5 that are defectiveTotal number of tables…

Q: A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll,…

A: It is given that x = 556n = 914Confidence level = 95%

Q: and second components meet specifications are 0.96 and 0.89, respectively. Let X be the number of…

A: The random variable X defines the number of components in the assembly that meet specification.

Q: (i) Find the mean of X (ii) Find the variance of X

A: Given,(i)we calculate the mean of let's calculate the mean:Here we have findoutThe

Q: Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi.…

A: Given information:The value of k is calculated below.

Q: Once an individual has been infected with a certain disease, let X represent the time (days) that…

A: The pdf of the Weibull distribution is: thethe values of the parameters are .

Q: The density fnction of X is given by fx(x)= 1, 0≤x≤1 0, otherwise find E[e]

A:

Q: Panera Bread reports that on average, a customer walks into its store every 165 seconds. Determine…

A: To determine the probability that the next visit to a Panera store occurs between 5.5 and 7.5…

Q: 14. Seven cards are chosen from a well-shuffled deck of 52 playing cards. In how many selections do…

A: It is given that the standard well-shuffled deck of 52 playing cards.Number of jacks = 4

Q: randomly chosen consecutive cars on a freeway during a period of heavy flow (sec). Suppose that in a…

A: Let X has a pdf

Q: Ananya closely followed the basketball career of Diana Taurasi, a legendary 3-point shooter.…

A: Given that Diana Taurasi has a 37% chance of success on each 3-point shot, the probability of…

Q: Based on an analysis of sample data, an article proposed the pdf f(x) = 0.55e-0.55(x - 1) when x 2 1…

A: Let X be the time spent at the median line.Given that, the pdf of X is

Q: The lifespan X (years) of a species of pig has pdf f (x) = 3x2e−x^3 , 0 < x < ∞. What is the…

A: To find the probability that a pig will live at least 1 year, you need to calculate the integral of…

Q: Consider a random variable X with the following pdf: fx (x) 2/9 1/9- 0 + 3 6 8 a) What is P(X ≤ 5)?…

A: PDf of random variable X is:

Q: and P(EF)=0.41. Find the following:

A: P(E)=0.73 ,P(F)=0.57 and P(E ∩ F)=0.41

Q: Question 1 A & out of n system is one in which there is a group of n components, and the system will…

A: Since you have posted a question with multiple subparts, we will provide solution to the first three…

Q: Suzan sees a bag of marbles; she grabs a handful at random. She has seen a bag containing 4 red…

A: 4 red marbles, 3 green ones,2 white ones,1 purple one

Q: A A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: The mean was 1537 and the standard deviation was 317.

Q: An article reported that, in a study of a particular wafer inspection process, 356 dies were…

A: A sample of 356 dies were examined by an inspection probe and 196 of these passed the probe.

Q: Tt. Question Viewer nergy bar is approximately normally distributed with a mean of 42.20 grams with…

A: Mean() = 42.20Standard deviation() = 0.035

Q: Find the indicated probability and interpret the result. From 1975 through 2020, the mean annual…

A: Given,Population mean, μ = 652Population standard deviation, σ = 1541Sample size, n = 35

Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…

A: μ=3.28,σ=0.18

Q: Two-dimensional random variables (X, Y) ~ f(x, y) = 1, 0<x<1,0 <y < 2x {1 otherwise fx (x) (1) Find…

A: f(x,y)= 1 ; 0&lt; x&lt;1, 0&lt; y&lt;2x

Q: Three boys and six girls are being seated in a row of nine chairs on a stage which are numbered from…

A: 3 boys and 6 girls are seated in a row of 9 chairs on a stage.These chiars are numbered from left to…

Q: Q 4.4. An individual picked at random from a population has a propensity to have accidents that is…

A: Given that the random variable Y has the gamma distribution with shape parameter and rate parameter…

Q: Find the expected value of the random variable Y by the probability distribution and by the…

A: Given that an exploratory oil well drilled in a particular region should strike oil with probability…

Q: Describe the difference between odds and probability. Give an example of each to support your answer…

A: Here we have to describe the difference between odds and probability. Give an example of each to…

Q: Consider the following Venn Diagram, depicting the data from a survey of college students who may…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A group of transfer bound students wondered if they will spend the same mean amount on texts and…

A: Difference in means = Mean(u) - Mean(c) = 1015 - 949 = $66Population standard deviation of…

Q: 3. Let X, Y be continuous random variables with joint pdf f(x, y). Calculate the joint cumulative…

A: Let X and Y have joint pdf

Q: Discuss probability or non-probability sampling, sampling method and sample size. Sampling method…

A: In probability sampling, every member of the population has a known, non-zero chance of being…