Examplel7. How many different ways can be the letters of the word VOWEL be arranged? (i) How many of these arrangements begin with w? (ii) How many of these arrangements, in which the letters O, E occupy even places? (iii) How many of these arrangements which begin with V and end with L.? (iv) In how many arrangements A and E are together?

Q: 1. How many possible samples of size 2 can be formed? 2. List all these possible samples and…

A: here given box contains 4 balls numbered 1,3,5,7 two balls are chosen from this box with…

Q: A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that…

A: From the provided information, A bag contains 6 black and 8 white balls. Total balls = 6 + 8 = 14

Q: Graph G is defined by the arrow diagram below. 1 2 4 Select the pair of vertices such that there is…

A: Given that -

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Q: At a music​ festival, there are eight bands scheduled to​ play, numbered 1 through 8.   a. How many…

A: Given that ; Total bands (n) = 8 By using factorial concept we solve this problem

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Q: Which of the following stocks is riskier if you are considering investing in X or Y only? Stock…

A: The coefficient of variation of X is 2 and the coefficient of variation of Y is 4.

Q: 1. Select 10 students currently enrolled at your college and collect data for these three variables:…

A: We are asked to collect data for the following variables:- X:- number of courses enrolled in Y:-…

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A: For the given data construct probability and expected value=?

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Q: Problem 2 Duke Energy needs to determine how much electricity to produce from each of their…

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Q: 2. Sue baked a batch of chocolate chip cookies. She made 15 trays of cookies with 20 cookies per…

A: A discrete random variable X is said to follow Poisson distribution with parameter λλ, if its…

Q: the probability of the event of rain for the day is 84%, what are the odds in fivor of rain The odds…

A: Given : The probability of the event of rain for the day is 84%.

Q: = 2004 presidential election exit polls from the critical state of Ohio provided the following…

A: We have given that,  Favorable cases (X) = 412 and sample size (n) = 768  Then,  We will find the…

Q: 2. What is the probability of the spinner. a. landing on red? b. landing on orange? c. landing on…

A: As per our guidelines we are supposed to answer only 3 subpart of any questions so i am solving…

Q: A scientist is interested in two different types of particles; type A and type B. The time that it…

A: Given: There are two types of particles A and B. The time it takes for particle of type A to decay…

Q: A. Determine the mean or expected value of each Random Variable. 1. 3 4 12 20 P(s) 0.1 0.5 0.2 0.2

A: (1)  Let s be the random variable having probability mass function is,  s 3 4 12 20 P(s)  0.1…

Q: Assume that there is a computer program that produces random numbers from Unif (0,1). Explain how…

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Q: In a gambling game, a player is paid Php 100 if he draws a jack or a queen and Php 200 if he draws a…

A: The probability of an event is computed by taking the ratio of number of favourable outcomes to…

Q: a. lose exactly 430 bags next week? b. lose at most 420 bags next week? c. lose more than 450 bags…

A: here mean  = 427 bags  standard deviation  = 35 bags    x = no of bag lost in next week

Q: A. Below is a matrix of binary operation on a finite set: A = {1, 2, 3, 4} 1 2 4 1 1 2 3 4 2 3 1 4 2…

A:

Q: A certain game consists of rolling a single fair die and pays off as follows: $9 for a 6, $2 for a…

A:

Q: (A) Find the probability distribution of X. ​(B) Find the expected number of defective bulbs in the…

A: here given, A box of 10 flashbulbs contain 4 defective bulbs. here n =2 is selected and tested , so…

Q: Q-1: Let P, Q, R and S be the propositions: P: "Ahmad comes to the party", Q: "Salim comes to the…

A: Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you…

Q: 3. A diagnostic test for a pneumonia is 95 percent accurate, in that if Kier has the pneumonia, it…

A: Let A and B be two events with P(A) > 0. Then the conditional probability of B given A, is the…

Q: Example 57. How many of these will In how many ways can a foot ball team of 11 players selected from…

A: In question, We'll find the number of ways in which football team of 11 players selected from 15…

Q: Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch’s 200…

A: Given that

Q: 6. Determine whether each of the following pairs of events is mutually exclusive. a. Five coins are…

A: Given data Determine whether each of the following pairs of events is mutually exclusive.

Q: How much should you win or lose if any other number turns up in order for the game to be​ fair?

A: Here two dice are rolled  So Total possible outcomes  6× 6 = 36

Q: 5. A pair of dice are tossed. The results are multiplied with one another. a. Draw a table to list…

A: HERE AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY PLZ REPOST FOR REMAINING QUESTION…

Q: in the past 12 persons had sex with in months the past 12 months

A: Given as,

Q: In the United States, voters who are neither Democrat nor Republican are called Independent. It is…

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Q: 2. Sue baked a batch of chocolate chip cookies. She made 15 trays of cookies with 20 cookies per…

A: A discrete random variable X is said to follow Poisson distribution with parameter λλ, if its…

Q: Example 58. straight lines (b) triangles which can be formed these points. There are 15 points in a…

A:

Q: Let F and G be probability generating function ow that FG is also a probability generating function.

A: The probability generating function is defined as,

Q: Question 3: A game of zumpie consists of 3 teams; 2 teams lose and 1 team wins. Fifty-one teams…

A:

Q: 23. Refer to Exhibit 4. The standard error of the mean for the sample is a. 0.5000 b. 0.1800 c.…

A: Given that  Sample size n =121 Population mean μ =9 Population standard deviation =0.18

Q: Show using probabilities that whether the machine produces acceptable items is dependent on whether…

A: Here use probability tree and Bayes rule

Q: f. What region/s belong to the upper 10% of having most of the new cases? g. How many new cases that…

A: Data for new cases according to regions given We have to calculate DECIAL and answer for mentioned…

Q: A passcode on a smartphone consists of 4 ​digits, and repetition of digits is allowed.   ​a)…

A:

Q: [6] Let z be a standard normal random variable. Compute the following probabilities. (a) P(-1.23 s z…

A: Let Z be a standard normal variable.

Q: 4. Determine whether each of the following pairs of events is independent: a. Rolling a pair of dice…

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Q: What is the expected value of rolling a 13 sided die is with numbers 1 to 13? 07 08 O7.5 O 6.5

A: From the provided information, The die is 13 sided with numbers 1 to 13.

Q: 3.

A: We have two types of data: 1. Qualitative : Data that can’t be counted or measured using numbers and…

Q: An agent sells life insurance policies to five equally aged, healthy people. According to recent…

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Q: Short Answer. Supply the correct answer. 1. In a sampling distribution, as the sample size increases…

A: As per central limit theorem, the z score formula of sample means is given by…

Q: 5. The annual rainfall in a certain region is approximately normally distributed with mean 41.9…

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Q: isted below are the lead concentrations (in ug/g) measured in different Ayurveda medicines. Ayurveda…

A: Given that  Sample size n =10 Population mean μ =14 Degree of freedom =df =n-1

Q: Construct all random samples consisting two observations from the given data. You are asked to guess…

A: It is given that:- Pumpkin A B C D E F Weight (in pounds) 19 14 15 9…