A survey found that 0.05% of the people in a city are infected by the COVID virus. If we randomly select 5000 people, using Poisson distribution        (a)  Find the probability that at most 3 people are infected by the virus.        (b)  Find the variance of the number of people infected by the virus.

Q: Fourty percent of the students in a class of 100 are planning to go to graduate school, Find the…

A: Answer: From the given data, Sample size(n) = 100 Probability of students planning to go to graduate…

Q: A sample of 6400 cases is drawn at random from a large population. The Variance is 100. Calculate…

A: Sample size, n = 6400 Variance = 100 Standard deviation = VarianceStandard deviation = 100Standard…

Q: The mean, standard deviation, variances, and coefficient of variance of plant height from two rice…

A:

Q: Suppose that average male weight in the US is 175 pounds with a standard deviation of 25 pounds.…

A: It is given that population mean µ=175 pounds, population standard deviation σ=25 pounds. Sample…

Q: The burning life (in hours) of electric lamps installed in a street of a city follows a normal…

A: Given: μ = 120 hours = 60×120 minutes=7200minutes σ2 = 54000 minutes.   Formula Used: Z-score = X-μσ…

Q: Derive the variance of the Student’s t distribution , show complete and detailes solution

A: Objective of this question is that, drive the variance of T distribution. Given  T~t distribution…

Q: When conducting a t-test for independent samples we have 2 ways of computing the variance. One way…

A: Let X and Y are two different samples. The sample size of X data is n1 with sample mean (x̄) and the…

Q: Provide an example of a random variable with variance of 0

A: Given that We have provide example of random variable with variance of 0

Q: A detergent company finds that a family in the country washes an average of 910 kilograms of clothes…

A: Given that: X is normal Distributed with mean µ = 910.0 and standard deviation σ = 85.0 By using…

Q: Suppose that the number of customer that enter a bank in an hour is a Poisson random variable, and…

A: Let X be poison random variable P(X=0)=0.05 variance of X=?

Q: Consider a random walk performed by a drunken person with equal step 1 . Calculate mean and variance…

A: A random walk was performed by a drunken person with equal step 1.

Q: A group of 20 college students participated in a study to examine the effects of a new study…

A: The objective of this question is to determine whether there is a significant difference in the exam…

Q: The weights (in kg.) of 8 students of class VII are 38, 42, 43, 50, 48, 45, 52 and 50. Test the…

A: Data given  38,42,43,50,48,45,52,50  Population variance=σ2=48

Q: The weight of a 5th grader is normally distributed with a mean of 65 pounds and a variance of 86…

A: Question 3:Introduction:Let X be the weight of a randomly selected 5th grader. The mean weight is μ…

Q: When a random variable X follows binomial distribution, the probability of success on one trian…

A: Answer: From the given data, number of trials is equal to = n = 125 The probability of success on…

Q: Find the variance of the random variable Z = 1−Y

A: Given that, Y denotes the proportion  of impurities in a batch and density function of Y : f(y) =…

Q: Two students sit for a university final exam whose scores are known to be normally distributed. The…

A: If raw scores are given by X= 63, Y= 93 Then z score for x is given by, Z= (X- mu)/sigma Where mu is…

Q: 5) A machine makes drill bits. When the machine is operating correctly, the variance of the diameter…

A:

Q: If the variances of two random variables are 23 and 18, find the minimum and maximum possible values…

A:

Q: The mean age of children at the X College daycare center is 6. The ages are skewed in a negative…

A: μ=6 σ2= 5.1

Q: proportion of individuals with a certain disease is 0.10. if we select a sample of size 1000 from…

A: For provided information, proportion of individual with a certain disease is 0.10. Sample size of…

Q: A nail is needed to hang up a 50 lb painting on a wall. A technician has two nails in his pocket,…

A: Suppose a random variable x defines the number of nails meet the specific weight of the painting.

Q: The director of research and development is testing a new medicine. She wants to know if there is…

A: Solution:  Given information: n= 45 Sample size  x= 323    Sample mean μ= 318   Population mean σ2=…

Q: Two separate samples, each with n = 14 individuals, receive different treatments. After treatment,…

A:

Q: The burning life (in hours) of electric lamps installed in a street of a city follows a normal…

A:

Q: A sample has a minimum value of 7 and a maximum value of 58 .Estimate its variance.

A: We have to find variance...

Q: Rods are produced in large quantities in a factory. The masses of these rods are normally…

A: Since you have asked multiple question, we will solve first question for you. If you want any…

Q: How did you get the variance for this problem ?

A: The sample size is 300, a quick google search shows that vegetarianism occurs at a rate of 5%…

Q: A behavioral researcher measures the stress response of mice exposed to scary animal pictures (cat,…

A: To test whether there is a difference in the stress response to scary animals, we can perform a…

Q: horses in a large stable have a mean weight of 1354 lbs, and a variance of 9604. What is the…

A: Suppose the horses in large stable have a mean weight of 1354lbs and variance of 9604. X~N (µ=1354,…

Q: Suppose Y = 6x-8, where x is a random variable with mean 2 and a variance of 4/3. Determine the…

A:

Q: Two separate samples, each with n = 14 individuals, receive different treatments. After treatment,…

A:

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.