Question

In how many ways can first and second prize be awarded in contest with 100 people, assuming that each prize is awarded to a different person?

Tagged in

Find answers to questions asked by students like you.

Q: A service has five tasks, performed in sequence. In the instance when there is more than one worker...

A: Process capacity:For the entire process, the process capacity is given by the lowest number of flow ...

Q: A survey of 145 college students was done to find out what elective courses they were taking. Let A=...

A: Number of students belong to at least one elective:For any three sets, say A, B, and C, number of st...

Q: Team sales personnel think that merchandise sales at their upcoming sporting event could be related ...

A: We can use the excel data analysis tool to find the answer to the given question. The steps are as f...

Q: Kelly's mom timed her as she swam a 3-lap race in 1 minute 43 seconds. Her swimming coach timed Kell...

A: Given that kelly's mom timed 3 lap swim race as 1 minute 43 seconds.Coach calculated the time on her...

Q: Evaulte the Expressions a) (2^5)^4= b) (2^4)^5=

A: The power rule of exponents say that to raise a power to a power, just multiply the exponents as sho...

Q: A single die is rolled one time. Find the probability of rolling a number greater than 5 or less tha...

A: Explanation:When a die is rolled once, the sample space of all possible outcomes is: {1, 2, 3, 4, 5,...

Q: Suppose you are given the following (x, y) data pairs. x 1 2 6 y 4 3 9 Find the least-squa...

A: (a)Consider the given data and calculate the following:

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: The pointer shown to the right can land on every number, and the respective probability that the poi...

A: Conditions to construct a probability distribution table:Discrete random variable:If the variable X ...

Q: A classroom contains 9 students. A student committee of 3 (president, vice-president, and treasurer)...

A: Total number of students = 9Student committee of three people with designations President, Vice-pres...

Q: 2.5. Let N be a random variable with distribution function 0 if <0 F(2) = 〈a,2 if 0 < x < 1 Find P{1...

A: Given cumulative ditribution function F(x) as shown belowTo find the P(1/4 < X< 5) According t...

Q: The rate at which customers are served at an airport check-in counter is a Poisson process with a ra...

A: The average number of customers served per hour is 11.9.So, for 5 hours, the average is (11.9 x 5) =...

Q: Assume that each of the n trials is independent and that p is the probability of success on a given ...

A: The value of P(X=1) is obtained below:

Q: Given the following sampling distribution:X 0 3 7 14 19P(X)...

A: Given probability distribution of a sample as shown belowHere we know that sum of all probabilities ...

Q: Suppose that for a given animal, the length of pregnancy from conception to birth varies according t...

A: It is given that mean and standard deviations of normal distribution are 210 days and 20 days respec...

Q: Let X be defined as follows. Let Y1, Y2 ∼ Ber(1/2) be independent and {0, 1} valued and let Z ∼ U[0,...

A: Mixed probability distribution:Suppose X is a random variable, the sample space of which can be part...

Q: An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to...

A: a. The simple events in this ranking experiment are {CDP, CPD, DCP, DPC, PCD, PDC}.The probability a...

Q: In a Ni-Cd battery, a fully charged cell is composed of nickelic hydroxide. Nickel is an element tha...

A: Find the mean of the variable x:The general formula to obtain the expected value (mean) of a discret...

Q: To win at LOTTO in one state, one must correctly select 6 numbers from a collection of 63 numbers ...

A: Here, the order in which the selection is made does not matter.The possible selection is,

Q: Using Gaussian curve. Find the probability of -+1 and -+3.

A: Gaussian curve is also called a normal distribution curveFinding the probability for z = ±1For Proba...

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: From the tree diagram find the following. (a) P(A n E) (b) Р(А) (c) P(AIE) А 0.2 0.4 0.2 0.4 C А 0.1...

A: From given tree diagram we can find all required probabilities.We will solve it step by step:

Q: Three people are chosen at random. What is the probability that at least two of them were born on ...

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

Q: At local industry , the safety department contains eight safety jacketsnumbered 1 to 8, six moonwalk...

A: There are total 24 items :eight safety jacket numbered 1 to 8six moonwalk shoes numbered 1 to 6ten g...

Q: There are 50 0ne dollar bills that be divided up among seven diffrent people any person may recieve ...

A: Given information:There are $51 bills that can be divided up among seven different people and any pe...

Q: Given:P(E) = 0.45, P(F) = 0.53, and P(E ∪ F) = 0.67(i) Find P(E ∩ F)(ii) Find P(F | E)a) (i) 0.31 ...

A: Given Two events E and F, probability of P(E) =0.45 and probability of P(F) =0.53 andP(E U F)= 0.67....

Q: Computer keyboard failures can be attributed to electrical defects or mechanical defects. A repair f...

A: From the question, it is given that ,Total fail keyboards = 25,Electrical defects = 6Mechanical def...

Q: a bag of marbles has 8 green, 10 red, and 5 blue marbles. One marble is drawn from the bag. What is ...

A: We have a bag of marbles 8 green, 10 red, and 5 blue marbles.Total we have 23 marbles.

Q: You have a built a deep learning workstation. This PC is made of expensive components. The component...

A: As per the question,The computer fails if any of the components i.e power supply, motherboard cpu or...

Q: What is 28 pounds of recyclable trash in a barrel of 52 pounds of trash?

A: We can express 28 pounds of recyclable trash in a barrel of 52 pounds of trash as fraction or as per...

Q: A bag contains total 30 balls out of which 9 are red, 12 are white and 9 are blue. Two balls are dra...

A: Let us first find probability that the first ball is red. For that we will need the following.Since,...

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: Motors Inc. manufactured 325 cars with automatic transmissions, 216 with power steering, and 89with ...

A: We have given,

Q: In a five-card poker hand, what is the probability of being dealt exactly one six and no picture c...

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

Q: 2.1 Sales personnel want to further develop the model to include other variables. Merchandise Sa...

A: Introduction to linear regression analysis:Regression analysis is a collection of statistical proced...

Q: Let A = {4, 6}, B = {6, 11, 23}, D = {35} and S = sample space = A ∪ B ∪ D. Identify Ac ∩ B.a) {4, ...

A: Given information:The given events are as follows:A = { 4, 6 }, B = { 6, 11, 23 }, D = { 35 } and th...

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: Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi villag...

A: Given Thickness measurement of ancient prehistoric Native american pot shards discovered in hopi vil...

Q: In a sample of 1100 U.S. adults, 212 dine out at a restaurant more than once per week. Two U.S. adul...

A: Given, Total U.S adults = 1100 Adults who dine out at a restaurent more than once per ...

Q: Take the Gamblers ruin on [0, N] with a fair coin, i.e., a simple random walk with absorbing boundar...

A: Proof of P (T < ∞) = 1:The probability P (T < ∞) = 1 implies that the duration of the game wil...

Q: Please, help me with very detailed and self-explanatory solutions. thank you

A: To determine the required probability mass functions

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: If two dice are rolled , find the probability that the sum of the die is 7 . probability that sum is...

A: There will be 36 possible outcomes when two dice are rolled.Out of these, there will be 6 such event...

Q: Let X = the number of nonzero digits in a randomly selected zip code. What are the possible values o...

A: We are given the below random variable:X= the number of nonzero digits in a randomly selected zipcod...

Q: A recent study reported that the prevalence of hyperlipidemia (defined as total cholesterol over 200...

A: Given:Probability that the prevalence of hyperlipidaemia in children 2–6 years of age = 0.30No. of c...

Q: The five members of the Jones family (Mama, Papa, and their three kids Bryce, Caleb, and Abby) and t...

A: We are given that the five members of the Jones family (Mama, Papa, and their three kids Bryce, Cale...

Q: Random variables X and Y have the following joint probability mass function: p(x,y)...

A: In this question, we have the probability mass function using which we have to answer few questions:...

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: If two dice are rolled , find the probability that neither die shows a 2 on it . probability =

A: When two dice are rolled the total number of possible outcomes are 36.Here the question is to find t...

Q: Three students from a 14 student class will be selected to attend a meeting . 5 of the students are ...

A: Let us say, the probability that not all three of the students chosen to attend the meeting are fem...