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Supposed three coins are tossed.let Y be the random variable representing the number of tails that occur.find the values of the random variable Y.make a table to show the values of the random variable


The women's organization of barangay Ouano, organize a raffle draw. The members aim to sell 1,000 raffle tickets at Php 50 per ticket and each ticket has an equal chance of winning. The prizes are follows: 1st prize-24 inches Sony LED TV worth Php 10,000, 2nd prize-washing machine worth Php 5,000 and 3rd prize-grocery pack worth Php 2,500. Let X denote the net gain from the purchase of one ticket. Find the expected value of X, then interpret.

Solving Problems Involving Sample Size Determination


Apply the knowledge you obtained from the discussion by solving the given problems below.


1. A 95% confidence interval has to be created to estimate the mean volume of contents in the

bottles of Honey-Z. Assume that the population standard deviation is 30 ml. Calculate the sample

size needed if the margin of error is no more than:


a. 6 ml


b. 5 ml


c. 4ml


d. 3 ml


2. How large sample size is required to determine the mean IQ of seventh graders of Luis Palma

National High School within +5 points, population standard deviation of 25, and with the following

confidence level?

a. 98%


b. 95%.


c. 90%.


d. 80%.


Computing Appropriate Sample Size Using the Length of the Interval


A. Determine the minimum sample size for each of the following:


a. 95% confidence level, E = 5.8 , "\\sigma" = 40


b. 96% confidence level, E =6, "\\sigma" = 55


c. 99% confidence level, E = 6.5, "\\sigma" = 65


Computing for the Length of the Confidence Interval

Solve the following.


1. A random sample of size 120 has a standard deviation of 25. What is the margin of error

for a 90% confidence level?


2. Compute the length of the confidence interval with a sample size of 220 and with a standard

deviation 60 having an 80% confidence level.


3. The average price of 50 Philippine-made shirts is PIs150 and the population standard

deviation is Pts55. Find the length of the confidence interval of the true average price of the

shirts using a 95% confidence level.


You are planning to buy a cellphone with a good quality in order to attend the online class.

The average price of 50 cellphones is Php13,500 with a margin of error of Php 273.65 and a

confidence level of 99%.


What is the lower limit?


What is the upper limit?


What is the confidence interval?


If you have P13,100.00, is the amount lies within the confidence interval?


An online seller of yema cake, which is very popular in Tayabas Quezon surveyed several

customers. Fifty-two percent (52) of the customers were satisfied with the services that were

offered with a 3.98% margin of error. Determine the confidence interval using this information.


The average percentage of people who are satisfied with the product is_


The lower limit of confidence interval is


The upper limit of confidence interval is


The confidence interval is


The curve of a distribution is?



the mean weight of baggage of 25 passengers from usa bound for the philippines is 31.8 kilos with a variance of 16. test the claim that the population mean baggage weight is equal to 30 kilos at 0.01 level of significance. Assume that the population is normally distributed. The t value is 2.492




A shipment of 12 Apple mobile phones contains 3 defective phones. In how many ways can a store purchase 5 of these phones and receive at least 2 defective phones?

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