Eighteen people decide to play softball. In how many ways can the 18 people be divided into 2 teams of 9 people? ways

Q: Determine whether you can use a normal distribution to approximate the binomial distribution. If you…

A: Given thatp = 0.19n= 210

Q: A random sample of 5008 adults in a country includes 760 who do not use the Internet. Construct a…

A: n=5008x=760

Q: d) Find the probability that at least two particles arrive in a particular 4 second period.

A: An average of 27 particles per minute occurs. The arrival of particles at the counter follows a…

Q: Two random variables X and Y with a joint PDF f(x,y) = Bx+y for 0≤ x ≤6 , 0≤ x ≤7 and constant B…

A: Given, the joint PDF of X and Y is

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: Construct a normal probability plot for the following sample of observations on coating thickness…

A: 0.861.480.851.470.861.571.021.631.101.641.111.731.311.771.311.84

Q: Let X be a random variable that is uniformly distributed over the interval [0, 2π] and let Y =…

A:

Q: Refer to the accompanying data set of 20 randomly selected presidents. Treat the data as a sample…

A: The sample size is .The level of confidence is .Sample data on high presidents and their opponents…

Q: Suppose that the random variables  Y1  and  Y2  have joint probability distribution function. f(y1,…

A: The joint probability density function is given as,The marginal density function of y1 is,The…

Q: Suppose that the distribution of the lifetime of a car battery produced by a certain car company is…

A: Let X be the lifetime of a car battery produced by a certain car company.Given, X is approximated by…

Q: It is estimated that 0.45 percent of the callers to the Customer Service department of Dell…

A: P=0.45%n=1000

Q: Consider two continuous random variables Y and Z, and a random variable X that is equal to Y with…

A: Y and Z are two continuous independent random variables and X is a random variable defined as:

Q: Let X follow a normal distribution with mean 4.7 and unknown standard deviation. If P(X < 9.6) =…

A: Given that

Q: Use the sample data and confidence level given below to complete parts ( a ) through ( d ) . A…

A: sample size(n)=1003who said "yes"=574confidence level=99%

Q: Find the indicated z-scores shown in the graph. Click to view page 1 of the table. Click to view…

A:

Q: ixty percent (60%) of Students of the Reginal College were took French. Fifteen (15) were randomly…

A:

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: We have a 10-character sequence where a machine selects each character of the sequence independently…

A: Given:1. Total characters =26(lowercase )+26 (uppercase )+10( digits )=62.2. Number of digits =10.

Q: Question 3 Calculate the probability of getting 3 hearts when you draw 5 cards; that is, calculate…

A: We have to draw  cards from a standard deck of  cards.i.e. Let, be the number of cards drawn. be the…

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

A: Let f be a pdf ; x&gt;=0= 0 ; x&lt;0

Q: Sales delay is the elapsed time between the manufacture of a product and its sale. According an…

A: Given that sales delay (in months) is modeled using a lognormal distribution with parameter values…

Q: 2). ically fills 16-ounce bottles. There is some variation in the amounts of liquid dispensed into…

A: It is given that Mean = 16Std. deviation = 1

Q: 1. The discrete random variables X and Y have known joint probability mass function [c x=0,1,2,L,9,…

A: Given that the discrete random variables X and Y have known joint probability mass function:The…

Q: Find the indicated area under the standard normal curve. To the left of z = 0.83

A: The z-score is, It is required to find the area left of the z-score in the standard normal curve.

Q: Three balls are to be randomly selected without replacement from an urn containing 20 balls numbered…

A: To calculate the probability that at least one of the three drawn balls has a number as large as or…

Q: Let Xo, X₁,... be the Markov chain on state space {1,2,3,4} with transition matrix (1/2 1/2 0 0 1/7…

A: We are given a transition matrix and state space of a Markov chain and asked to find the limiting…

Q: Problem 10-17 (Static) An office employs several clerks who create documents and has one operator…

A: In this system population is infinite, arrivals are poisson distributed and service time is…

Q: Find the area of the shaded region under the standard normal curve. Click here to view the standard…

A: According to the given information,We need to find the area of the shaded region P(Z &gt; 0.83).We…

Q: 1. One hundred persons were asked, "Do you favour regional integration?". Of the 35 that answered…

A: It seems you have submitted 3 different questions, as per the guidelines I can solve the first one.…

Q: X₁~N(0,1),i=1,..., n and they are independent of each other, then X₁ + X ( ) distribution.

A: Given that, they are independent of each other.We are asked to find the distribution of .

Q: Books from Sellsevere Press average 1 misprint every 4 pages. A new book coming out soon will have…

A: A Poisson distribution is defined as a discrete frequency distribution that gives the probability of…

Q: probability distribution formula to determine the probability a hand (of five cards) from a single…

A: You decided to participate in a charity 5-card poker tournament.There are total 52 cards in standard…

Q: Let (x1, x2) be i.i.d. samples from a Poisson distribution with unknown parameter > 0. Suppose that…

A: X~Pois(λ)

Q: Consider the following transition probability matrix: [0.6 0.2 0.2 P= 0.3 0.4 0.3 0.0 0.3 0.7 a.…

A: transition probability matrix is given:

Q: You are given a standard deck of 52 cards. Three cards are chosen at random with replacement. What…

A: There are a standard deck of 52 cards and we have to find probability of choosing an ace, a spade,…

Q: Let X1,...,Xn be a random sample from a distribution with mean μ and variance σ2. Find the value of…

A: Given X1, X2, ……, Xn be a random sample from a distribution with mean µ and variance σ2.

Q: Joint and Conditional Probability: In a box of 20 fruits, there are 8 apples and 12 oranges. 4…

A: No.of red apples=4No.of green apples=4No.of oranges=12Total no.of fruits=20

Q: Let X denote the proportion of allotted time that a randomly selected student spends working on a…

A:

Q: estaurant in Ohio, the number of minutes that diners spend at the table has a major impact on the…

A: X~N( μ , ?)μ=89 , ?=17Z-score =( x - μ )/?

Q: The data given to the right includes data from 40 candies, and 10 of them are red. The company that…

A: The random sample of size, The number of red candies, The confidence interval is 95% (i.e. )The…

Q: USE SALT are the variance and standard deviation of delay time? (Round your answers to two decimal…

A:

Q: 6.5 Let X have the uniform distribution on [0,1]. That is, it has density f(x) = 1 for 0≤x≤ 1, and…

A:

Q: It is estimated that 0.55 percent of the callers to the Customer Service department of Dell…

A: It is estimated that 0.55 percent of the callers to the Customer Service department of Dell…

Q: A fair coin is tossed 27 times. What is the probability that at most 24 heads occur? A) 0.99999718…

A: From the provided information,

Q: Problem 2. Exponential Distribution. A factory has a set of 10 machines. Each of these machines will…

A: Given that the failure time T of the machines is exponentially distributed with parameter λ=2,…

Q: Use the sample data and confidence level given below to complete parts ( a ) through ( d ) . A…

A: In the given pool  and  who said "yes".The confidence level is 95%.

Q: Problem 3. Transformation of a Random Variable. Let X N(0, 1). What is the p.d.f. of Y = = fx(X)?…

A: Given that X∼N(0,1). Then the PDF of X is  given as:f(x)=12πe−x2/2;x∈RObjective:Find the PDF of…

Q: Suppose X₁, X2, and X3 are independent random variables where X₁~ N(μ₁ = 1,0²= 1²) X₂~ N(₂=2,0²2…

A: Hello! Since you have posted 3 different questions, we are answering the first question with three…

Q: 7. Given the cdf of a random variable X: Fx(x) = (0 x/8 , x = (-00,0) , * € [0,2) x²/16, x € [2,4))…

A: We know the cdf of a random variable X is

Q: Suppose that we have the following model for LeBron James shooting free throws the probability he…

A: The provided information is as follows:The probability that he makes a free throw is .The total…