X ~ N(50, 9). Suppose that you form random samples of 25 from this distribution. Let  X  be the random variable of averages. Let ΣX be the random variable of sums.   Part (e) Sketch the graph, shade the region, label and scale the horizontal axis for  X,  and find the probability. (Round your answer to four decimal places.) P(48 < X < 54) =  Part (f) Sketch the graph, shade the region, label and scale the horizontal axis for  X,  and find the probability. (Round your answer to four decimal places.) P(13 < X < 46) =  Part (g) Give the distribution of ΣX. ΣX ~      ,

Q: K (a) Identify the shape of the distribution, and (b) determine the five-number summary. Assume that…

A: Since we know that five number summary for the in any box-plot is denoted as in the following figure

Q: Denote the sample as X1,...,Xn is exponentially distributed Show the distribution of X-u in deitels

A: Given  Sample asx1 , x2 , ....... , xn is exponentially distributed

Q: Let X is random variable which represents life time of a certain computer part . X  is exponentially…

A: Given that,  Mean of exponential distribution is  1/λ = 10 So λ = 1/10 X~ exponential(1/10)

Q: Solve for B 51, 44 outliers were wrong

A: 6163643245269744111031024596206229301551310280361246815917

Q: Suppose X has the Uniform (0, 1) distribution. Find the median of the distribution of ex correct to…

A: For a random variable (X)) that follows a uniform (0, 1) distribution, the median is the value (m))…

Q: 2. The following is a distribution for the number of workers in 40 compani belonging to a certain…

A: The given data is No. of Employees (x) No. of Companies (f) 14 - 20 1 21 - 27 3 28 - 34 6…

Q: The number N of claims follows a distribution in the (a, b) family. You are given: • P(N = 2) =…

A: A counting distribution is a discrete probability distribution that takes only nonnegative integer…

Q: 5.76 If two random variables have the joint density (x+y-) for 0 <x < 1, 0 < y < 1 f(x, y) = %3D 0.…

A:

Q: Suppose that X2 points is normally distributed with n = 200 and p = 0.4. Approximate the probability…

A: Given that  n=200 , p=0.4

Q: Time to complete HW assignment for Applied Statistics class has a uniform distribution with minimum…

A:

Q: A 90​% confidence interval for μ is

A: It is given that Sample mean = 6.6Std. deviation = 0.9Sample size = 43Confidence interval = 90%

Q: X~ N(70, 12). Suppose that you form random samples of 25 from this distribution. Let X be the random…

A: a) Given that X~N(70,12). μx¯=μ=70σx¯=σn=1225=2.4 Hence, the correct option is 4th option.

Q: F(12,6). Find the following: (a ) F0.05 (12,6). (b) F0.95 (12,6). (c ) P(0.33 ≤ W≤ 4.00).

A: (12,6)=1/F0.05(6,12)=1/3=0.33Given that W ~F(12,6)where r1=12 and r2=6 a) F0.05(12,6) is given in…

Q: Franz has quite a book collection with a total of 100 different books. These books are from 5…

A: Introduction: The random variable X denotes the number of books selected by the person from their…

Q: al.   (f) The middle 50% of IQs fall between what two values?

A: The mean is given as, μ=100. The standard deviation is, σ=15. f. To determine the middle 50% of IQs…

Q: The z-score for the sampling distribution is given by z = Find z when x = 17, µz = 16, 0, = 4, and n…

A: Sample mean = 17Mean = 16Standard deviation = 4Sample size = 4

Q: Q. NO 1 Probability Distribution (Discrete Random Variable) The probability distribution of random…

A: Expected value: It is the product of the probability of the value to the value and sum of all those…

Q: If X1, X2, ..., Xn is a xrandom sample from a N(µ, o) population, write the distribution of…

A: Here, X follows N(µ,σ) (X1- µ)/ σ  follows N(0,1)

Q: For a highway, the car's speed has a uniform distribution [50,90]. Cars are stopped if speed X is…

A:

Q: e. What is the probability a particular student will take between 45 and 50 minutes? e.

A:

Q: Calculution practice for the hinomial distribution. Find P(X = 2) when n=4, p=0.2 (a) 0.2442 (b)…

A: Given : Let X be Binomial r.v with n=4 p=0.2 X follows Binomial dist. with n=4 , p=0.2 X~B(n=4 ,…

Q: A random sample of size n₁ = 16 is selected from a normal population with a mean of 74 and a…

A: given data sample 1: μ1  = 74σ1 = 6n1 = 16sample 2 :μ2 = 70σ2 = 16n2 = 6(a)  P(x¯1-x¯2&gt;4) = ? (b)…

Q: In a certain manufacturing plant, 6% of the finished product are defective. Solve for the…

A:

Q: Name 1. (12) Determine if the following statements are True or False. Circle "T" or "F". T F If…

A: "As per the Bartleby guidelines, we are entitled to solve only one question at a time.As you have…

Q: Q1(6). Use the distribution tables to determine the following values. 1(2). Let a = 0.04 find values…

A:

Q: I have 200 items of a product in stock. The probability mass function for the product's demand D is…

A: Given: PD=190=PD=200=PD=210=13=0.333 Products Demand = D

Q: Assume a member is selected at random from the population represented by the graph. Find the…

A:

Q: d. find-t50,.01. Draw the distribution and locate the t-value (-t50,.01) in the distribution. e.…

A:

Q: Consider the hospital data. Suppose a patient is selected randomly from the collection in the table.…

A: A discrete uniform random variable is defined as the one that takes only a finite number of possible…

Q: The waiting times between a subway departure schedule and the arrival of a passenger are uniformly…

A:

Q: Comment on the skewness of the distribution. [2]

A: given: Q3 – Q2 = 455 – 415 = 40 Q2 – Q1 = 415 - 370 = 45 to comment on the skewness

Q: The voltages of one electrical installation belonged to the normal distribution. For the group of…

A: Given, As it is normal distribution, highest value occures at mean. i.e μ = 0.95   To find, the…

Q: For a t distribution with 16 degrees of freedom, find the area, or probability, in each region. a.…

A: The t table provides the area to the right of the t values corresponding to the degrees of…

Q: EX#2: A box of 850 marbles contains 50 blue marbles. Two marbles are selected at random without…

A:

Q: Suppose x has a distribution with a mean of 55 and a standard deviation of 18. Random samples of…

A:

Q: Stem-and-leaf of Spread N = 19 1 01 3 0 89 5 1 03 (6) 1 555688 8 2 8 2 8 3 12 6 36 5 4 012 2 4 69…

A: Given:

Q: Define the t distribution of means

A:

Q: Births are approximately Uniformly distributed between the 52 weeks of the year. They can be said to…

A: We have to find given probability.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.