Quiz #10 Name: I. The National institute of Mentai Health reports that there is a 30% chance of an aduit American suffering from a psychiatric disorder Three randomly selected adult Americans are examined for a Psychiatric disorders. a If you let a success correspond to an aduit American having a psychiatric disorder, what is the SUCcess probability, p? (Note: The use if the word success in Bernaulli triais need nor reflect its usually positive connotation.) PISuccess naving the psychiatric disorder) bConstruct a probability distribution table for three people examined using Binomial distribution. Let X be the number of adults who are suffering from the psychiatric disorder 1 2 Total Prob Determine the mean and variance for the distribution. c)

Q: An urn contains 4 white balls and 6 red balls. A second urn contains 8 white balls and 2 red balls. ...

A: Introduction:Let A be the event that the first urn is selected; so, AC denotes that the second urn i...

Q: Three hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups...

A: a)a) As per the question, no of consumers who are in the age of 18-24 years of age who dislike crunc...

Q: A deck consists of 110 cards with 11 suits labelled A to K and numbered ranks from 1 to 10. That is,...

A: It is provided that the deck contains 110 cards in total with 11 suits that are labelled from A to K...

Q: I am a positive integer. All my digits are odd. I am equal to the sum of the cubes of my digits.  I ...

A: There are two possible answers for the given situation.If it is a single digit number, then it shoul...

Q: A financial services committee had 60 members, of which 10 were women. If 8 members are selected at ...

A: Concept of probability:Probability deals with the likelihood of occurrence of a given event. The pro...

Q: At the corner of Texas Ave and University Dr the probability of vehicles of a particular make and co...

A: Part (i):It is given that B, F and K represent models of cars; R represents the colour red. Also, P ...

Q: From a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of men...

A: Introduction:The probability model for an experiment, where k successes are obtained in n trials wit...

Q: A high school class consists of 6 seniors, 10 juniors, 11 sophomores, and 5 freshmen. Exactly 2 of t...

A: From the given problem, we have:6 seniors, 10 juniors, 11 sophomores, and 5 freshmenTotal number of ...

Q: Determine whether the following problem involves a permutation or combination.​ (It is not necessary...

A: We have given,Number of people needed to test = 37Total number of people volunteered for this test =...

Q: Is the event independent or dependent and what is the probability of the event? Drawing three queens...

A: Introduction:Drawing cards “in a row” means, drawing them one-by-one. Here, after drawing one card, ...

Q: The assets (in billions of dollars) of the four wealthiest people in a particular country are 32, 25...

A: Sample means:The following table lists the possible samples with replacement, from the four given ob...

Q: Recall that we say that a random variable X is in the vector space L^2 if it has finite second momen...

A: Properties of a norm:In order to prove that ||X||2 = √E(X2) is a norm, it must satisfy 3 conditions:...

Q: One option in a roulette game is to bet $13 on red.​ (There are 18 red compartments, 18 black ​compa...

A: The total number of red compartments = 18The total number of non red compartments  = 18=2 = 20The to...

Q: A fair dice is rolled four times.  What is the probability of obtaining a 3,2,3 and 3 in that order?

A: For any event A and the sample space S, the probability can be found as,

Q: Inductive or deductive reasoning? To find the perimeter P of a square with side of length s, I can u...

A: Theory:Deductive reasoning is the process by which one can reach a certain conclusion logically with...

Q: Peter Rabbit and Benjamin Bunny decided to have a race. Peter jumps 4 feet with every jump and makes...

A: Peter Rabbit:At the start of the race, Peter makes the 1st jump of 4 feet, then pauses for 4 seconds...

Q: Need help on this concept

A: Hello. The information about the nine sheets of paper is missing in the question and hence we are no...

Q: a card is drawn from a standard 52-card deck. what is the probability that the card is a heart card ...

A: In this question we have to find the probability that the card is a heart card or a high card (10, j...

Q: Evaluate the expressions.   ​a) −8^−2= ​b) (−8)^−2=​​(Type an integer or a simplified​ fraction.)

A: A negative exponent means the base is on wrong side of the fraction, to make the exponent positive s...

Q: For the experiment of drawing a single card from a standard​ 52-card deck, find ​(a) the probability...

A: Part (a):A standard deck of 52 cards has 4 suits of 13 cards each. In each of the four suits (diamon...

Q: A contractor has six styles of homes, each with six styles of garages, three styles of decks, and si...

A: The different possible homes are calculated below: From the given information, the contractor has si...

Q: Quick Start Company makes 12-volt car batteries. After many years of product testing, the company kn...

A: If a random variable x has a distribution with mean µ and standard deviation σ, then the z-score is ...

Q: Identify the following distribution as binomial, geometric or neither.A headache remedy is said to b...

A: In this question we have given some data based on that we have to find that which distribution is be...

Q: Need the solutions for the attacheds(Math 243 : Discrete Math)

A: given hypothesis and we need to find conclusion by constructing an arguement,Given  that It is snowi...

Q: A​ single, fair​ 6-sided die is tossed. Find the odds in favor of rolling a 2, 3, or 6

A: It is given that the die is faired and has 6 sides. Therefore all the 6 faces are equally likely to ...

Q: Suppose that the lifetime of a component (in hours), X is modelled with a Weibull distribution with ...

A: The probability distribution function of the Weibull random variable X is given by:

Q: In the United States, men’s heights have mean of 69 inches, and standard deviation of 3 inches. Assu...

A: Let X be the height of men in United States. X follows normal distribution that has mean µ = 69 and ...

Q: The city is trying to determine future demand for their ice rink to help with staffing decisions. Th...

A: Hello there! I see there are more than 3 subparts in the question. According to our policies we can ...

Q: A poker hand consists of five cards drawn from a deck of 52 cards.  Each card has one of 13 denomina...

A: In this question it has given that we have to draw 5 cards out of which 2 must be the pairs of diffe...

Q: Express the number in scientific notation. 0.17 ​= ​(Use scientific notation. Use the multiplication...

A: According to scientific notation any number is written from 1 to 10 and exponent to the base 10 is e...

Q: 61%9:15 PM Q STAT WA 7.3 Hmwk - Area X G hemoglobin - GoX + G somnelance - G X porp https://www.weba...

A: Note:Thank you for posting the question! Since your question has more than 3 parts, we have solved t...

Q: Five States are being considered for a laboratory Colorado, California, New York, New Jersey, and Ut...

A:

Q: the carnival has come to town, and lucky louie has once again set up his pavilion. He offers a simpl...

A: Given two normal six sided dice are rolledtotal number of possibilities when two dice are rolled = 6...

Q: An oil company estimates that only 1 well in 24 will yield commercial quantities of oil. Assume that...

A: According to the provided data, the number of trials, n is 12. An oil company estimates that only 1 ...

Q: The probability density function of the time to failure of an electronic component in a copier (in h...

A: Computing the probability that a component fails in the interval from 465 to 1,943 hours:The random ...

Q: Perform the indicated operation. Express the answer in scientific notation. 1,200,000/0.00004= (Use ...

A: Introduction:Note that, 1 / x–a = xa, for any positive real quantities, x and a.Also, 0.00004 = 4/10...

Q: My little brother loves the video “hunting game” he got for Christmas. He gets 2 points for capturin...

A: We are given that your brother gets 2 points for capturing a snake, 3 points for capturing a wolf, 4...

Q: On average, a house has 2 repairs per year. a) What is the probability that in the next 3 years, the...

A: a)Average repairs per year is 2.So, the average repairs in the next 3 years is,

Q: 14. Step 1: Global warming may be due to increased concentrations of greenhouse gases such as carbon...

A: Introduction:In this case, the response variable is the carbon dioxide concentration, while the pred...

Q: ore on last attempt:   0.5 out of 1 (parts:  0.17/0.17,  0/0.17,  0.17/0.17,  0.17/0.17,  0/0.17,  0...

A: Hello there! there are more than three subparts in the question. According to our policies we cannot...

Q: Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, and Georgia are invited to a dinner party. They ar...

A: Total number of members invited to a dinner party = 7So, the total possible number of ways of arrivi...

Q: The letters A,H,I,M,O,T,U,V,W,X  and Y are all mirror images of themselfs. A string made of these le...

A: Given information:The letters A,H,I,M,O,T,U,V,W,X  and Y are all mirror images of themselfs. A strin...

Q: Assume that a particular professional baseball team has 10 ​pitchers, 5 ​infielders, and 10 other pl...

A: TO work out the required probability , using counting principles

Q: A personnel office is gathering data regarding working conditions. Employees are given a list of fiv...

A: Circle chart vs Pareto chart:In circle chart, each pie represents the proportions of categories. The...

Q: x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal...

A: According to the given question, x be a random variable representing dividend yield of bank stocks. ...

Q: A car dealership has 7 red, 14 silver, and 4 black cars on the lot. Ten cars are randomly chôsen to ...

A: We have given,A car dealership has 7 red, 14 silver & 4 black cars on the lotIf 10 cars are rand...

Q: You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards....

A: Introduction:A standard deck of 52 cards has 26 black cards (13 spades and 13 clubs), and 26 red car...

Q: Six​ stand-up comics,​ A, B,​ C, D,​ E, and​ F, are to perform on a single evening at a comedy club....

A: Factorial of an integer:The factorial of an integer is the product of all positive integers less tha...

Q: An urn contains 5 red, 6 blue, and 8 green balls. If a set of 3 balls is randomly selected, what is ...

A: Sampling without replacement:The urn consists of 19 balls in total. The sampling is done with replac...

Q: In the Olympic finals, only three teams are represented: US, England and China. Tatjana believes the...

A: According to the given question, In the Olympic finals, only three teams are represented: US, Englan...

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.