Answer with explanation in Excel Formulas  Problem 1: Assume the number of downloads per day of a popular APP A follows a normally distribution with a mean of 2800 and standard deviation of 860. Answer the following questions. Assume the company providing the downloading service has designed its servers so there is probability 0.01 that the number of downloads in a day exceeds the servers' capacity and more servers have to be brought online. Q:How many downloads per day are the servers designed to handle?

Q: roblem 1: Assume the number of downloads per day of a popular APP A follows a normally distribution…

A: Note: "Since you have posted multiple questions with multiple sub-parts, we will solve the first one…

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A: According to the provided information, Mean (μ) = 100 Standard Deviation (σ) = 10

Q: The annual rainfall in a city is normally distributed with a mean of 128 cm, and a standard…

A: GivenMean(μ)=128standard deviation(σ)=13

Q: Next Question A consultant has three sources of income-trom teaching short courses, from selling…

A: Given, Annual incomes from the different sources And their respective mean and sd Let, C: annual…

Q: (Chapter 4.3) Suppose the lengths of plastic rods produced by a machine are normally distributed and…

A: Solution: Given : The length of plastic produced are normally distributed and independent with mean…

Q: Read and solve the following problem 1. Monthly food expenditures for families in Caloocan City…

A: Let X be the monthly food expenditure for families in caloocan city. and assuming that X  is…

Q: Use the appropriate formulas for parts (b) and (c) to solve this problem: 28% parents rely on free…

A:

Q: Solve the following problems by supplying the needed information. The average number of calories in…

A: Given,mean(μ)=230standard deviation(σ)=10.1

Q: Problem #4 - The mean number of air conditioning units assembled per month by Freeze, Inc. is 750…

A: Given information: μ=750, σ=100Break even point=500Given in Q 3a

Q: 1. The mean height of the students in Grade 1 section Newton is 125 cm and the standard deviation is…

A: Given, Let X be height of students X~Normal(μ,σ2)μ=125 cmσ=3.5 cm

Q: Problem #8: The weight of a sophisticated running shoe is normally distributed with a mean of 15…

A: In question, We have given that the weight of running shoe is normally distributed with mean 15…

Q: Calculate the Standard Deviation and variance for the x-axis as shown in fig.1, showing your calcu…

A: Given: Sample size n = 7 Formula Used: Sample variance S2 = ∑Xi-X2n-1 Sample standard deviation S =…

Q: Illustrate the following normal random variable: 1. Suppose that birth weights are normally…

A: A normal random variable is a variable with three major characteristics.

Q: Solve the following: Given the average age of a man which is 50 years old and has a diabetes with…

A: Provided information is ; Let X be the age  of man Average(μ)=50 years old Standard deviation(σ)=7…

Q: QUESTION 7 A research worker wants to determine the average time it takes a mechanic to rotate the…

A:

Q: QUESTION 7 The weekly salaries of public health workers in one state are normally distributed, with…

A:

Q: SOLVE THE FOLLOWING: 1. The average secretary’s salary in YOKONA Company is Php38,764. Assume this…

A: We have given that.   X~N( μ , ?^2 )   μ =38764 , ? =5100   Z-score =( x - μ )/?   NOTE:- According…

Q: Ex. 13. If the probability of a defective bolt is 0.2, find (i) mean (ii) standard deviation for the…

A: Givenp=0.2sample size(n)=400

Q: QUESTION 8 A research worker wants to determine the average time it takes a mechanic to rotate the…

A: Given : Using Z table or excel command =NORMSINV(0.99) we get critical value,

Q: From the following information, find the standard deviation of x and Y variable: Sigma x =235, Sigma…

A: We have given that,  Σ x = 235, Σ y = 250 and Σ x^2 = 6750,  Σ y^2 = 6840,  n = 10 Then,  We wil…

Q: A packaging company strives to maintain a constant temperature for its packages that require a…

A: Temperature of packages follows a normal distribution with a mean of 5 degrees Celsius and a…

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A: We have to find given probability...

Q: Chapter 06, Section 6.4, Problem 043 A study has shown that 23% of all college textbooks have a…

A:

Q: Suppose that the weights of packages shipped by Atlas Shipping are normally distributed, with mean…

A:

Q: QUESTION 9 What is the probability of measuring the length of a projectile as 3.35 cm or less, if…

A:

Q: Problem 2. The battery life is known to be approximately normal distributed with standard deviation…

A: GivenMean(x)=40.5standard deviation(σ)=1.25sample size(n)=10α=0.05

Q: uppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: A scientist believes that the length of a newly discovered species of fish can be assumed to follow…

A: Note : We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Solve the following problems. 1. The mean number of hours a Filipino worker spends on the computer…

A: (1) Given that,  μ=3.1,σ=0.5z-score = 1.2 The no.of hours worker spend on the computer is, X-score =…

Q: solve the following problems Assuming that the scores of Grade 11 students in Statistics and…

A: NOTE: There are two separate questions. Though we are supposed to solve one question only, but I…

Q: The random variable, x, has a normal distribution. How many standard deviations above the mean must…

A: Given The random variable, x, has a normal distribution.

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A: we have to find given probability..

Q: The following data represent the battery life, in hours, for a random sample of 10 charges on a…

A:

Q: Answer the following   a. The distribution of weekly incomes follows a normal probability…

A: If the random variable X denotes the weekly income, then we are given that X~N(μ , σ2), where μ =…

Q: Solve the following problems. 1. A national secondary achievement test is administered annually to…

A: 1) give mean =100 standard deviation =15 peter's Z score =1.20 Z =x-μσ⇒1.20=x-1001518=x-100x=118…

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…

A: Given that , mean =  = 116 standard deviation =  = 14 P(130< x <144) = P[(130-116) /14 < (x…

Q: Suppose that the commuting time on a particular train is uniformly distributed between 50 and 60…

A: The pdf  of the continuous uniform distribution is f(x)=1b-a ~a≤x≤b∑(X)=a+b2var(X) = (b-a)212

Q: 8. (Topic 8) Suppose the average height of a two year old male is normally distributed with a mean…

A: We have given height of 2 year old male is normally distributed with mean =m=34.2 and sd=2.9 We have…

Q: Analyze and solve the following problems: 1. A research student is testing the growth of aloe vera…

A: Formula : Z =(X - μ)/σ

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A: Given a normal distribution (X) with μ= 100 and σ = 10.

Q: Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard…

A: Given X is normal Distributed with mean µ = 116.0 and standard deviation σ = 14.0 now will using…

Q: QUESTION 6 A research worker wants to determine the average time it takes a mechanic to rotate the…

A: Obtain the large sample size. The sample size is obtained below as follows:   The formula of sample…

Q: If samples of a specific size are selected from a population and the means are computed, what is the…

A: Answer:-----.                    Date:----26/10/2021 a)

Q: 3. In problem #1. What is the value of its standard deviation? a. S, = 8.38 b. s, = 8.08 C. S, =…

A:

Q: If the temperature at which a certain compound melts is a random variable with mean value 115°C and…

A: It is given that  Mean = 1150C Standard deviation = 40C 0F = 1.80C + 32

Q: QUESTION 9 The length of an adult Great White Shark is normally distributed with a mean of 3.4…

A: We have given that.   X~N( μ , ?^2 )   μ =3.4 , ? =0.5   Z-score =( x - μ )/?

Q: Problem 26. Boxes of Instant Dinner have a marked weight of 12.2 oz. In reality, the weights of the…

A: Given  x = 12.2 oz mean = 12.8 oz standard deviation = 0.3oz Since mean is normally distributedzα…

Q: Solve the problem. 13) The amount of snowfall falling in a certain mountain range is normally…

A: 13.It is mentioned that the amount of snowfall falling in a certain mountain range is normally…

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A: Given, μ=100σ=10P(X>105)=?

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.