(a) Find E[Y]. (b) Find Var[Y].

Q: *2. At a lumber company, shelves are sold in 4 types of wood, 3 different widths and 6 different…

A: 4 type of wood 3 different widths 6 different lengths   how many different type of shelves could be…

Q: player is randomly dealt a sequence of 13 cards from a standard 52-card deck. All equences of 13…

A: a) The probability that the 13th card dealt is a King is the same as the probability that any…

Q: The manager of a fast-food restaurant determines that the average time that her customers wait for…

A: Given that

Q: Standard Normal Curve Areas (page 1) The column under A gives the proportion of the area under the…

A:

Q: At a 5% level of significance, determine whether there is a significant correlation between the…

A:

Q: d lands heads 462 times. The coin landed hea ject the null hypothesis. il reject the null…

A: Hypothesis:- The null hypothesis is that the coin is fair and the probability of heads is 0.46.…

Q: Find the percent of area under a normal curve between the mean and the given number of standard…

A: we have to find, the percent of area under a normal curve between the mean and the -0.40 standard…

Q: Which is the Probability that the ATMs that he managed to visit two were damaged?

A: An office building has 20 ATMs. Of the 20 ATMs, 5 are in poor condition. A technician has the…

Q: A political campaign is interested in whether a geographic difference existed in support for raising…

A: It is of interest to test the claim that the level of support differs between the two cities…

Q: *20. The table shows claims and their probabilities for an insurance company. Amount of Claim $0…

A: 20) Answer:- Given, The Probabilities for an insurance company is,  Amount of claims , X ($)…

Q: Suppose there are 3 blue pens, 2 red pens and 5 black pens in a bag. If one pen is selected…

A: Answer: From the given data, In a bag, Number of blue pens = 3 Number of red pens = 2 Number of…

Q: 5. The Amboy Kennel Club has held an annual dog show for the last 42 years. During this time the…

A: Here Given  The Amboy Kennel Club has held an annual dog show for the last 42 years. During this…

Q: The lifetime T (in months) of the battery in a certain type of calculator may be described in terms…

A: The lifetime T of the battery of a calculator has a hazard function given by: ht=1100t,         t≥0…

Q: In the game of baseball, every time a player bats, he is  either successful (gets on base) or he…

A: Let X be the number of successful at-bats out of 600, where each at-bat has a success probability of…

Q: Let X denote that number of years I will use my current computer, and Y the number of years that I…

A: X 1 2 3 Total Y 1 0.05 0.16 0.19 0.4 2 0.10 0.13 0.12 0.35 3 0.07 0.10 0.08 0.25 Total…

Q: A and B are events, neither of which has probability 0. Which conditions below imply that A and B…

A:

Q: The weights of a certain dog breed are approximately normally distributed with a mean of 53 pounds,…

A: Mean(µ) = 53Standard deviations (σ) = 6.6X ~ N (µ, σ )= N(53, 6.6)

Q: The height of an adult male in the United States is approximately normally distributed with a mean…

A: Answer: From the given data, Let X represents the height of an adult male in the United States X is…

Q: Calculate the sample standard deviation using the given sample data n= 112, Sum of squares (SS) =…

A: n = 112 SS = 218 sample standard deviation = ?

Q: According to a climate data center, the highest temperatures (in degrees Fahrenheit) ever recorded…

A: Given data :…

Q: *1. Solve the problem by applying the Fundamental Counting Principle. A restaurant offers a choice…

A: It is given that a restaurant offers a choice of 5 salads, 10 main courses and 4 desserts.

Q: Seventy-eight independent messages are sent from an electronic transmission center. Messages are…

A:

Q: A student has a total of 164 songs on his MP3 player, 69 of which are old favorites by the Beatles.…

A: We have given that on the MP3 player of a student out of 164 songs, 69 are old favorites by the…

Q: Show that the two intervals (0, 1) and (0, 2) have the same cardinality.

A: In mathematics, cardinality is a measure of the "size" of a set, which can be defined as the number…

Q: 61. Find a fixed probability vector for 0 0 0 1 1/2 0 0 0 0 0 1/2 1/3 2/3 0 1 0

A: To find a fixed probability vector for a given matrix, we need to find a vector v such that v is a…

Q: e mean of the new sample is mplify your answer. Type an integer or decimal rounded to the nearest…

A: We have given that,  28, 34, 47, 36, 50, 36, 32 After subtract 10 from each sample then the new…

Q: Using Microsoft excel, construct and graph a binomial probability distribution with n = 20 and p =…

A: Hello! As you have posted 4 different questions, we are answering the first question. In case you…

Q: Approximate the normal probability with an error of less than 0.0001, where the probability is given…

A:

Q: Being dealt at least 4 hearts in a hand of 5 cards dealt from a regular deck.

A: There are total 52 cards in standard deck of cards. There are total 4 suit in deck of cards , heart…

Q: If A and B are events such that P(A)=0.2 and P(AUB)=0.6, find P(B) when (a) A and B are mutually…

A: According to the given information, we have P(A)=0.2P(A∪B)=0.6

Q: You are given a set of 5 randorr cards from the following deck of 50 cards. What is the probability…

A: The deck of 50 cards is as follows, A0 A1 A2 A3 A4 A5 A6 A7 A8 A9 B0 B1 B2 B3 B4 B5 B6 B7 B8 B9…

Q: Suppose a math class contains 27 students, 11 who do not wear glasses (two of whom speak French) and…

A: According to the given information, we have Total number of students = 27

Q: 1. A "poker" (5 cards) of a 52 -card deck is launched. There are 13 levels of values ​​and 4…

A: "Probability is a branch of mathematics that deals with the likelihood of events occurring. In many…

Q: ime Magazine plans to do a telephone poll of adult Americans to ask them “How much are you worried…

A: Time Magazine plans to do a telephone poll of adult Americans to ask them “How much are you worried…

Q: Two samples are given. Find each sample's a) standard deviation and b) coefficient of variation.…

A: The sample size of the first sample, n1=5 The sample size of the second sample, n2=7 The two samples…

Q: The daily production of a factory is normally distributed with mean 6.4 tons and standard deviation…

A: Answer: From the given data, Let X represent the daily production of a factory X is normally…

Q: You pick a card at random. Without putting the first card back, you pick a second card at random.…

A: Total number of cards = 3 Available  cards = 5,6,7 What is the probability of picking a 6 and then…

Q: The stem-and-leat display repr members of the class. Identify the mean, median and mode for the data…

A: According to the given information, we have The stem and leaf is given. Data 47 50 55 57 63 64 64 66…

Q: Problem 2 A certain video game company is planning an update on a popular competitive video game.…

A: In today's fast-paced world, we rely heavily on technology to communicate and conduct business. One…

Q: Consider the frequency distribution to the right. Complete parts (a) through (c) below. (a) Find the…

A: Data is given for value and frequency :  Mean = sum(f*x) / N  N = sum(f)  Median = mid value  Mode =…

Q: Let {Xt : t > 0} be a compound Poisson process of parameter λ. Suppose that each of the summands of…

A: A compound Poisson process is a counting process with a Poisson-distributed number of jumps and the…

Q: nick and Casey are playing darts on the board that has five regions labeled  a, b, c, d, and e   in…

A: Given, Nick and Casey are playing darts on the boards that has five regions labeled as a, b, c, d,…

Q: If one card is randomly drawn from a well shuffled deck of 52 cards, What is the probability of…

A: Answer: From the given data, Total number of cards in a deck = 52 If one card is drawn randomly,

Q: Consider a Gambler’s ruin problem with p = 0.2 and the different states of the fortune of the gambler…

A: In the Gambler's ruin problem, the gambler starts with an initial fortune and plays a game…

Q: The fraction of the population that will receive adequate amounts of vitamins under the given plan…

A: In nutrition, the recommended daily allowance of vitamins is a number set by the government to guide…

Q: what is the probability that at least 3 never respond?

A: Define the following events as, A: Not responding on the first letter B:  Not responding on the next…

Q: Gabriel and Lucia took a road trip across the country. The room costs, in dollars, for their…

A: K=3---standard deviations Total number=12

Q: During a sale at a men’s store, 10 white sweaters, 3 red sweaters, 7 blue sweaters, and 6 yellow…

A: To find the number of possible different choices with no restrictions, we need to find the total…

Q: 3. Consider a pdf f so that a random variable X~ f has expected value E[X] = 3 and variance V[X] =…

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

Q: Here is the probability model for the blood type of a randomly chosen person in the United States.…

A: Blood Type Probability O 0.46 A 0.21 B 0.1 AB 0.23