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Cliams on a gruop of people rise randomly and independently of each other through time at an average rate of 2 per month. Calculate the probability that 30 claims arise in a period of one year


Sample means from a infinite population

A population has mean of 60 and a standard deviation of 5. A random sample of 16 

measurements is drawn this population. Describe the sampling distribution of the 

sample mean by computing its mean and standard deviation


A shipment of 6 computers contains three that are slightly defective. A retailer receives three of these computers at random. List the elements of the sample space S using the letter D and N for defective and none defective computers respectively. To each sample point assign a value of X of the random variable X representing which is slightly defective.


Find the moment coefficient of Skewness and kurtosis for the dat below. a) 9, 3, 4, 2, 9, 5,



Two coins are tossed.let H be the the number of tails that occur.determine the values of the random variable H


The average loan of an employee is Php 18, 200. If the debt is normally distributed with the standard deviation of Php 6, 150, find the probability that the employee owes between Php 10, 000 and Php 25, 000.

in a certain university, the students were informed that they need a grade in the top 8% of the engineering students to get a scholarship for the next semester. In the standardization of the test, the mean was 76 and the standard deviation is 14. Assuming that the grade is normally distributed, what must be the minimum grade to obtain the scholarship grant.

What is the sum of the probabilities of all values of the random variable?


An electronic company in Laguna manufactures resistors that have a mean resistance of 120 ohms and a standard deviation of 13 ohms. Find the probability that a random sample of 40 resistors will an average resistance greater than 114 ohms.

Il Directions: Perform what is being asked Solve the problem by showing the step-by-step process.


Situation: Miko, a DOH COVID-19 tracker, found out that the number' fected persons of COVID-19 in seven


low nisk provinces of the country are 1,9, 2, 12, 8, 7, and 1 Supposed to provinces are drawn as sample,


1. What is the mean (), variance (o) and standard deation of the population (c)?


2 How many different samples of size n =6 can be drawn from the pop station?


List them with their corresponding mean


Construct the sampling distribution of the sample menn

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