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

Q: (c) What value (in hr) is such that exactly 50% of all specimens have lifetimes exceeding that…

A:

Q: 3. In a large population, 0.1% of individuals have certain rare disease. If 10,000 individuals are…

A: Given that, In a large population , 0.1% of the population have certain rare disease So…

Q: Using the table provided, suppose that E is the event that a new car buyer intends to drive her/his…

A: Number of milesFrequencyFewer than 250001725001-75005675001-12500087125001-17500031175001 or more9

Q: .62 (b) What is the standard deviation of the sample proportion of the algae that were…

A:

Q: How many scholars ride in cars? How many scholars walk?

A: there are 624 scholars who attend Excel Middle School. (3)/(4)of the scholars ride the bus to…

Q: • Your dorm enters 15 out of 65 plastic numbered ducks in a duck race. The ducks are all dumped into…

A: Total number of plastic numbered ducks n=65 you have number of dorm's ducks =15 Probability that…

Q: (i) Find the mean of X (ii) Find the variance of X

A: Given,(i)we calculate the mean of let's calculate the mean:Here we have findoutThe

Q: Suzan sees a bag of marbles; she grabs a handful at random. She has seen a bag containing 4 red…

A: 4 red marbles, 3 green ones,2 white ones,1 purple one

Q: Let (X,Y) have joint pdf f(x, y) = ½ on D = {(x, y) : x² + y² ≤ 1} and f(x, y) = 0 otherwise.…

A: Probability Density Function (PDF): Understand what a joint probability density function is. In this…

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

A: Note: As per our guidelines we are supposed to answer only 3 sub-parts of any questions so I am…

Q: Mike's game consists of selecting two balls, without replacement, from an urn containing 7 balls…

A: To calculate how much Mike should charge to play this game if he wants to make $0.90, on average,…

Q: Let A and B be events. Assume that P(A) = 0.55, P(B|A) = 0.36, and P(B|A') = 0.84. Then, P(A∩B)=?,…

A: P(A) = 0.55P(B|A) = 0.36P(B|A') = 0.84

Q: Door prizes for entrants in a young inventors competition are $100, $50, $25 and $10. In how many…

A: Door prizes for entrants in a young inventors competition are $100, $50, $25 and $10.

Q: Use the normal distribution to the right to answer the questions. (a) What percent of the scores are…

A: X~N( μ , ?)μ=20.2    , ?=5.4Z-score =( x - μ )/?

Q: 10

A: It is given that the square of side 10 and the radius of the circle is half of the sqaure.

Q: P(z> -1.062) = (Round to four decimal places as needed.)

A: X~N( μ , ?)μ=0 , ?=1 For standard normal distribution.Z-score =( x - μ )/?

Q: Use the Standard Normal Table or technology to find the z-score that corresponds to the following…

A: Use the Standard Normal Table or technology to the z-score that corresponds to the following…

Q: Given a function f(y) {cye-2y, 04) Find the distribution function

A:

Q: A bag contains 50 red marbles, 20 white marbles, and 30 black marbles. If you select a handful of…

A: There is total 50 red marbles, 20 white marbles, and 30 black marbles.

Q: On Homework Assignment 1, the general consensus was that I was not in a relationship. Although I…

A: Given the regression output :

Q: The following data represent the number of times students at a certain university read the newspaper…

A: The formula for two sample t-test confidence interval is,

Q: A group of transfer bound students wondered if they will spend the same mean amount on texts and…

A: Difference in means = Mean(u) - Mean(c) = 1015 - 949 = $66Population standard deviation of…

Q: Y 1 x 0 2 3 0 0.04 0.09 0.10 0.12 1 0.07 0.11 0.08 0.04 0.15 0.10 0.05 0.05 2 (a) Compute E(X),…

A: Suppose the joint pmf of X and Y is

Q: The density fnction of X is given by fx(x)= 1, 0≤x≤1 0, otherwise find E[e]

A:

Q: USE SALT (a) (c)= 0.9857 2.189 (b) P(0 ≤Z≤ c) = 0.3133 0.89 (c) P(C≤ Z) = 0.1335 1.11

A:

Q: What is the expectation of X?

A: An urn holds 4 red, 3 blue, and 2 green marbles. Three marbles are selected, altogether, without…

Q: Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative…

A: From the provided information,The cumulative area is 0.4708.

Q: Based on historical data, your manager believes that 25% of the company's orders come from…

A: n=81p=0.25

Q: If p= 1.2% and n = 500, is the Poisson distribution a reasonable approximation of the binomial…

A: Given that p = 1.2% and n = 500,we are asked whether the Poisson distribution is a reasonable…

Q: Find the standard deviation of the following numbers (Round your answer to 4 decimal places.):  1,…

A: 1, 4, 4, 7, 7, 7, 11, 11, 14, 16, 16

Q: A study of crowd-funded projects showed that overall a majority were successful, that is, raised at…

A: Given: CategorySuccesfulnot successfulTotalfilm and…

Q: What is the probability of a spinner with 5 even colors landing on the same color 4 or fewer times…

A:

Q: 4. Kitty generates random numbers between 1 and 6 by rolling a fair cubical die. Caleb generates…

A: Kitty generates random numbers between 1 and 6 by rolling a fair cubical die. The die has 6 faces…

Q: Suppose the number X of tornadoes observed in Kansas has a Poisson distribution with A 9 per year. =…

A:

Q: An injection molding department is having issues with a process. Sample of size n=75 are collected…

A: Here, we have given the table contains the number of defectives in samples and then we have to find…

Q: 6. How many ways to line up 10 girls and 7 boys in a row, if no three boys stard together?

A: Total number of girls = 10Total number of boys = 7

Q: Consider the random movement of a bishop on a chessboard (look up the definitions on the…

A: In the random movement of a bishop on a chessboard, we can model the bishop's movement as a Markov…

Q: 21. 2400 voters were polled regarding ballot measure 95. The voters were separated by party -…

A: It is required to identify the particular party, being a member of which, is independent of…

Q: (a) Find the probability that a randomly selected high school student who took the reading portion…

A: X~N( μ , ?)μ=23.2     , ?=5.5Z-score =( x - μ )/?

Q: Example 5.32 The total revenue from the sale of the three grades of gasoline on a particular day was…

A: The mean is 5620 and the standard deviation is 429.46.

Q: For Question 2 Let A and B are two independent events such that P(A)=0.3 and P(B) = 0.15. Calculate…

A: P(A)=0.3 and P(B)=0.15A and B are independent.

Q: In each case, determine the value of the constant c that makes the probability statement correct.…

A: Solution-:Let Z- be the random variable of standard normal distributionWe want to find c such…

Q: 4.56 Nonstandard dice. Nonstandard dice can produce interesting distributions of outcomes. You have…

A: Due 1 : 6 faces(standard die){ 1,2,3,4,5,6 } Die 2 : 3 faces ( one spot ) 3 faces ( six spots )

Q: Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative…

A: To find the  -score that corresponds to the cumulative area, we use the standard normal…

Q: A coin is tossed 17 times. In how many outcomes do exactly 11 heads occur?

A: A coin is tossed 17 times i.e., .The objective is to find the number of outcomes in which exactly 11…

Q: Consider a large-sample level 0.01 test for testing Ho: P = 0.2 against Ha: p > 0.2. USE SALT (a)…

A: Given a large-sample level 0.01 test for testing  against .

Q: In 100 trials of this​ experiment, we expect about _______ to result in no more than 4 adults who…

A: n=15 p = 0.45

Q: A drawer contains four black, six brown, and eight olive socks. Two socks are selected at random…

A: A drawer contains four black, six brown, and eight olive socks. Two socks were selected at random…

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: Let the probability distribution of random variable X be P(X= k) k! , k = 0, 1, 2, I then EX2 - ()

A: Let X has a pmf