Let X be a random variable. (a) If X~ Binom(n, 0.3) for large n, find an interval in which roughly 68% of the values of X lie. (b) If instead X ~ Pois (20000), assuming that this can be modeled by a normal random variable find an interval in which roughly 68% of the values of X lie.

Q: The number of birth defects in a region is commonly modeled as having a binomial distribution, with…

A: p=sample size(n)=200

Q: student must take an objective exam comprising 25 questions. For each question there is only one…

A: a) If the student answers the 25 questions completely randomly, they can expect to get approximately…

Q: 1. Anne has a coin. She does not know if it is a fair coin. She flipped the coin 100 times and…

A: Anne flipped her coin 100 times and obtained 73 heads and 27 tails. This is a proportion of 0.73 for…

Q: d. P(x ≥ 1) = e. P(x ≤ 1) = f. P(6 ≤x≤ 8) =

A: n = 9, p = 37% = 0.37Let X be the number of adults have experienced a breakup at least once during…

Q: Imagine that on average two out of seven people are left handed. Assume that each person is either…

A: 2 out of 7 people are left-handed. Each person can either be right-handed or left-handed.

Q: probability that both cards have rank no higher than 10, and at least one of the cards is red?

A: Suppose you select a card uniformly at random from a standard deck, and then without puttingit back,…

Q: Q 2.8. Suppose that (X, Y) are bivariate random variables whose joint distribution is continuous…

A: P(A|B)=P(A,B)P(B)

Q: al clients every day. The probability that you make a sale is 30% on any one phone call. Use this…

A: n = 25Note: According to bartelbyquestion answer guidelines an expert can solve only three subpart…

Q: 3.158 If Y is a random variable with moment-generating function m(t) and if W is given by W = aY +…

A:

Q: Christopher and Jade each have a bouquet of flowers (the two bouquets are distinguishable).…

A:

Q: 15. Based on data from a USA Today Snapshot, 72% of adules have security concerns about online…

A: "Since you have posted a question with multiple subparts we will provide solutions only to the first…

Q: t  x denote the amount of time for which a book on 2-hour reserve at a college library is checked…

A: Let  x denote the amount of time for which a book on 2-hour reserve at a college library is checked…

Q: Use the probability distribution to complete parts (a) and (b) below. The number of school-related…

A: Suppose  be the number of school-related extracurricular activities per student.The probability…

Q: Let X1,...,Xn be a random sample from the distribution f(x) = 2x, 0 < x < 1. Find the distribution…

A: f(x)=2x ; 0&lt; x&lt; 1 n be the sample size

Q: Giving a test to a group of students, the grades and gender are summarized belo A B C 4 20 13 5…

A: The provided information is as follows:The data of the test to a group of students, the grades, and…

Q: Suppose that the random variables X, Y, Z have multivariate PDF fXYZ(x, y, z) = (x + y)e−z for 0 0.…

A: the random variables X, Y, Z have multivariate PDFfXYZ(x, y, z) = (x + y)e−z for 0 &lt; x &lt; 1, 0…

Q: Climbing rope will break if pulled hard enough. Experiments show that 10.5 mm dynamic nylon rope has…

A: Mean=5036standard deviation=122Note: Only ifrst three subparts has been answered as per guidelines.

Q: Let B be the event that the second card you draw is a queen. Find P(B)

A: Suppose you draw two cards from a well-shuffled card deck without replacement. Let B be the event…

Q: Classify the following statement as an example of classical probability, empirical probability, or…

A: The empirical probability of an event is the ratio of the number of outcomes in which a specified…

Q: The weather report says that there is a 30% chance it will rain this morning. If you take your…

A: Probability of rain is P(rain) = 0.30Probability of no rain is P(No rain) = 1 - 0.30 =…

Q: Given a standard normal distribution, determine the following probability. Round the solution to…

A: The standard normal table (or) z score table values, provides the area values under the normal curve…

Q: Answer as simplified fraction The table shows the number of video games sold worldwide for the…

A: GameGames SoldGame 118280000Game 216960000Game 311950000Game 411100000Game…

Q: e probability density of a continuous random variable X'is given in the figure below: 2 X

A: X be the random variablesP(0.5&lt; X&lt; 1.5)=?

Q: Question 9 A recruiting firm finds that 20% of the applicants for a particular sales position are…

A: The question presents a scenario involving a recruitment firm.This firm is in the process of…

Q: A truck driver is waiting to join the traffic on the service road of a highway. The truck driver…

A: The given problem describes the vehicles arriving at the service road as a Poisson process with an…

Q: Q 2.6. Suppose that (X,Y) are the co-ordinates of the random point chosen uniformly at random from…

A: Given is an ellipse from which the coordinates (X, Y) are randomly chosen.

Q: QUESTION 15 Collected information/data for a particular housing addition near downtown Houston…

A: From the given information ,Mean = 100standard deviation = 5Using formula ,

Q: How many apps? According to a website, the mean number of apps on a smartphone in the United States…

A: Assume the number of apps is normally distributed with mean 87 and standard deviation 30.

Q: If Yis a discrete random variable that assigns positive probabilities to only the positive integers,…

A: Expected Value (Mean): The expected value of a random variable Y, denoted as E(Y) or μ, represents…

Q: How would it look like if someone drew it

A:

Q: X~N(0,1), Y~N(1,4), X and Y are independent of each other, then 2X+3Y+3 ~ ( )

A: X~N(0,1) and Y~N(1,4)

Q: For each of the following random variables, say whether it is continuous or discrete: a) the number…

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted.We…

Q: 1.Firstly, I think in the first part of the question, you make a mistake on calculation, see image…

A: Try in this way using the concept of Order Statistics.This will simplify your problem.

Q: A soccer team has 2 games scheduled for the weekend. It has a 0.4 probability of not losing the…

A: Game has a 0.4 probability of not losing first game and 0.7 probability of not losing the second…

Q: et X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the…

A: We have given the following the cdf

Q: If one student is chosen at random, Find the probability that the student was female AND got a "A".…

A: It is given that a test to a group of students, the grades and gender.

Q: Give the derivation of the variance for the binomial distribution.

A: X~Bin(n,p)

Q: Compute the probability that a five-card poker hand is dealt to you that contains all hearts.

A: In a standard deck have  playing cards.&amp; there are hearts in a deck.We have to choose  cards…

Q: Assume the number of apps is normally distributed with mean 85 and standard deviation 25 . Part: 0 /…

A: Assume the number of apps is normally distributed with mean 85 and standard deviation 25.

Q: 25. The results for a mandatory competency test for high school sophomores has a normal distribution…

A: Mean()=400standard deviation()=100

Q: Use the spinner below. 11 10 9 8 12 1 P(<10) - → V 2 in 5 LAP 3 4

A: The spinner is segregated into 12 equal parts.

Q: 5. Consider the following contingency table which shows the numbers of endangered and threatened…

A: "As per bartleby guidlines, we will solve the first three sub parts only, to solve the remaining…

Q: Let x be the sample mean number of inventory items. To be within 25 items of the mean, μ, we want…

A: Given that is the sample mean number of inventory items.

Q: The Internal Revenue Service wishes to study the time required to process tax returns in three…

A: It is needed to discuss the testing procedure of the given scenario.

Q: Consider X ∼ Unif(0, 1), and find the distribution of Y = 1/X.

A: X~U(0,1)

Q: The assets (in billions of dollars) of the four wealthiest people in a particular country are 36,…

A: Given thar the four asset values are 36, 29, 20 and 15.Sample size=2.The Samples are selected with…

Q: A realtor uses a lock box to store the keys to a house that is for sale. The access code for the…

A: The access code for the lock box consists of five digits.The first digit cannot be 2 and the last…

Q: How is Jaquard's coefficient defined between records i and j displayed in table below? Record/ 0 a 1…

A: Given the table isRecord j01Record i0aba+b1cdc+da+cb+dp

Q: Recreational Time A researcher wishes to see if there is a difference between the mean number of…

A: sample mean 1 ==8.9population standard deviation =  = 2.8 sample size 1= n1=20sample mean 2 =…

Q: A TV executive is interested in the popularity of a particular streaming TV show. She has been told…

A: It is required to find the probability that all 6 of the households in the city being monitored by…