ENGAGEMENT: The following are real-life examples of random variables. Classify them as discrete or continuous random variables. 1. The Statistics and Probability test scores of a randomly selected student 2. The weight of the student before and during the pandemic 3. The number of times 5 will appear when a die is rolled thrice 4. Getting a card greater than 9 from a standard deck of cards 5. The time needed to finish a test 6. The height of the study table 7. The number of voters favoring a candidate 8. The number of COVID-19 cases per city/municipality per month 9. The number of defective gadgets produced by a manufacturer 10. The average amount of electricity consumed per household per month

Q: Select all of the following that are members of this set: {a € N: a² - 1 is divisible by 4} x {b €…

A: { a ∈ℕ : a2 - 1 is divisible by 4} x { b ∈ℤ: b is prime number}

Q: For the following two samples of scores, calculate the pooled variance from an Independent-Samples…

A: We have given the following data Independent-Samples t-test.     Sample 1 Sample 2 n1 n2…

Q: A person has a 30 percent chance of winning on a scratch-off lottery ticket. What is the probability…

A:

Q: Problem 4. Let X = (X₁, X2,..., Xn) be i.i.d. where each X; has proba- bility mass function P(Xį =…

A: We have given function with pmf P(Xi=xi)=(θ2)|xi|*(1-θ)1-|xi| where xi∈{-1,0,1} and 0≤θ≤1

Q: 1- Assume that a random variable X has an exponential distribution with mean 0 = 1. Let Y = X². What…

A: Given that X follows exponential distribution with mean θ = 1.  Y = X2

Q: o Find a constant C such that p is a probability density function on the given interval and compute…

A: p(x)=c/(x+4)3.   x (0, ∞) We have to find Value of C and probability P(0≤X≤1)

Q: How many different four letter secret codes can be formed if the first letter must be an S or a T ?

A: The experiment is to form four-letter secret codes. The condition is the first letter must be an S…

Q: Problem 2. Someone makes a claim that the probability of bit error, p, for a certain unit is less…

A: As per our guidelines I can solve only first 3 subparts. Kindly post the remainder subparts again…

Q: jar of marbles contains 5 pink, 9 green, 13 blue, and 3 orange marbles. If a marble is randomly…

A: According to the given information in this question We need to find the following probability

Q: Write a description of the shaded region using the symbols A, B, C, u, N, -, and ' as needed. (A…

A: (A (top left) Shaded) (C (bottom middle) shaded) (B (top right) Unshaded) (background unshaded)

Q: Each of the letters A through J are printed on tiles that are placed in a hat. Andre selects a tile…

A: Each of the letters A through J are printed on tiles that are placed in a hat. Andre selects a tile…

Q: Steele Electronics Inc. sells expensive brands of stereo equipment in several shopping malls. The…

A: Answer  Given  Sample size [n] =23 P =33%     =33/100    =0.33

Q: 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 data a Based on the boxplot above, identify the 5 number…

A: A boxplot is given.

Q: At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the…

A: It is given that, the probability that it will rain is, P(Rain) = 0.07. Thus, the probability that…

Q: Len is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is…

A: Len is playing a board game and rolls two number cubes. The player rolls the cubes and covers the…

Q: The owner of the Snow Fun Ski Resort wants to decide how the resort should be run in the coming…

A: /------- Sell to hotel: $45,000 profit                           /…

Q: The table below shows a group of students and some of the sports in which they participate. Use the…

A: The event "a student is chosen from the group at random" is the same for all three students, but the…

Q: andom, single card draw from a standard deck, what is the probability that the drawn card is a red…

A: In a random, single card draw from a standard deck,  the probability that the drawn card is a red…

Q: Question 1 In a particular state, the license plates have 7 characters. Each character can be a…

A: Number of character in licences plat = 7 characters. Number of possible digits or letter = 9 digits…

Q: Allan has a 36% chance of making his high school hockey team and a 78% chance of passing his math…

A: Let H=Allan making his high school hockey team.  M= Allan passing his math exam. P(H)=0.36 P(M)=0.78…

Q: Create a tree diagram for the sample space of this experiment, if you toss a coin 4 times.

A: Here we have to Create a tree diagram for the sample space of this experiment, if we toss a coin 4…

Q: Determine whether the following examples are discrete or continuous data sets. Write "DISCRETE" for…

A:

Q: Problem #5: A 2-digit code is obtained as follows. The first digit is a random integer from 0 to 5…

A: To find the number of outcomes in the given events, we need to consider the possible values for the…

Q: 1. In a group of 100 men, 55 are clean-shaven, 30 have beards and moustaches, 10 have moustaches…

A: (a) The probability that the man has a beard is obtained below as follows:   From the information,…

Q: You know you have 5 pairs of sock in the laundry basket. You want a pair of matched socks but can’t…

A: To guarantee that you will get a matching pair of socks, you need to consider the worst-case…

Q: In a certain city, the daily consumption of petroleum in thousand barrels of oil can be treated as a…

A:

Q: 28) Consider two variables Y₁, Y₂ whose joint probability density func- tion is given by f(y₁, y2) =…

A: Consider two random variables Y1, Y2 whose joint probability density function is given by,…

Q: ndomly selected Rolling Stones concerts, gross earnings is 2.12 million dollars. ssuming a…

A: Sample size n =30 Sample mean=2.12 Population standard deviation =0.45

Q: The pdf of X is given by a+bx³, if a € [1,3] otherwise f(x) = { To Find all possible values of a and…

A: Answer:- Given, the pdf of X is:    f(x) = a + bx21≤x≤30otherwise                 Find the possible…

Q: For a right skewed distribution; one of the following statements is correct: A) The mean and the…

A: For normal distribution :  Data is normally distributed  Mean = Median = Mode  For right skewed :…

Q: (c) When is this distribution used in the real world?

A: The Weibull distribution is commonly used in the real world to model failure times of components,…

Q: The point of this problem is to ensure that you understand how to use AND and OR in a statistical…

A: Serhan has three favorite drinks. espresso, which he gets with 0.5 probability. an americano with…

Q: Assume that X is normally distributed with a mean of 10 and a standard deviation of 2. Determine the…

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

Q: Use normal approximation to estimate the probability of getting less than 54 girls in 100 births.…

A: n=100, p=1/2

Q: The probability that a randomly selected employee of Company Y is female is 0.60. The probability…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Show work when necessary. Each part is worth the same amount. Assume that all necessary conditions…

A: (1) That is, there is no evidence to conclude that the proportions have changed. That is, there is…

Q: 5. If XN(1.5,22), and (1.25)=0.8944, (1.75)=0.9599, then P{-2< X <4}= ( ). 10.8543 2 0.3541 3 0.2543…

A: X~N(1.5,22) Mean(μ)=1.5 standard deviation(σ)=2 P(1.25)=0.8944 P(1.75)=0.9599

Q: 2. An email spam filter applies the test to each incoming email.Suppose 80% of all emails are spam,…

A:

Q: In the questions below suppose A = {a,b,c}. Mark the statement TRUE or FALSE ØS A. {{a}} = P(A)…

A: A={a,b,c}

Q: d. Test the null hypothesis by computing the test statistic Z. What is your value for Z? e. What is…

A: sample size=10000000 80 but errors  we have to find d....Test statistic Z  e...p value f...…

Q: probability p of a head is p = and the probability of a tail is q = 1 - p = . What is the…

A: Here Given  No of tosses= N = 3 and  Probability of Head= P(H) = p = 0.5 Probability of Tail = q=…

Q: The distribution of the binomial random variable (X) has the following parametes: P=0,3 and n=9.…

A: In the field of statistics, understanding the basics of probability is fundamental. Probability…

Q: The university administration has asked a group of student leaders to vote on the aspects of college…

A:

Q: A population of values a normal distribution with mu = 123.8 and Standard deviation = 23.8 A random…

A: Answer:- Given, Population mean, µ = 123.8  Standard deviation, σ = 23.8  Random sample size, n = 34…

Q: The table below gives the number of hours spent unsupervised each day as well as the overall grade…

A: From the provided information, Hours Unsupervised (x) Overall grades (y) 0 99 0.5 98 2 96…

Q: For this study, we should use     The null and alternative hypotheses would be:       �0:…

A: as per guidelines i have calculated 3 subparts , plz repost for remaining with note i need this this…

Q: 3. 11th and 12th grade students at Fairlawn High S The results of the survey are recorded in the…

A: From the given table:- Total no. of 11th  graded students = 8+32= 40 Total no.of 12th graded…

Q: An ice cream parlor offers 28 different flavors of ice cream. One of its items is a bowl consisting…

A: The ice cream parlor offers 28 different flavors of ice cream.

Q: We have three independent risks, each having the following probability mass functions: P(X₁=0)=1/4…

A: To calculate the VaR(90%) and TVaR(90%) of the distribution of the total claims of the portfolio of…

Q: Construct a frequency table using a class interval width of 0.2 starting at 0.15. Type integers or…

A: Class interval 0.15-0.35 0.35-0.55 0.55-0.75 0.75-0.95 0.95-1.15 1.15-1.35 1.35-1.55…