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Each month, a Filipino household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds. If a household is selected at random, find the probability of its generating more than 31 pounds. (

r+4s+t+rt-s²=0

Form the PDE of the following by eliminating arbitrary functions from:


1.xyz=(x^2+y^2-z&^2)

2 . z= (x+y)f(x^2-y^2)




Find the expected value of the random variable X and its variance having the following density function details explanation

                                   f(x) = 5 (1-x4)         0<x<2

                                         = 0                   elsewhere


How many are the possible ouf comes



A tumor is injected with 0.9

 grams of Iodine-125, which has a decay rate of 1.15%

 per day. Write an exponential model representing the amount of Iodine-125 remaining in the tumor after t

 days. Then use the formula to find the amount of Iodine-125 that would remain in the tumor after 60

 days.


a population consists of three numbers (1,3,5,8 & 11). Consider all possible sample of size 2. which xan be drawn without replacement from the population.

Direction: Complete the table below by constructing and illustrating the



probability distribution of Example 3 (refer to page 7).



Solution



Steps



1. List the sample space



2. Count the number of tails



in each outcome and



assign this number to this



outcome.



3. Construct the frequency



distribution of the values of



the given random variable.



4. Construct the probability



distribution of the given



random variable by getting



the probability of



occurrence of each value of



the random variable.



5. Construct the probability



histogram

Suppose the mean number of days to germination of a variety of seeds is 34, with a standard deviation of 4.3 days. What is the probability that the mean germination time of a sample of 250 seeds will be within 0.5 days of the population mean?


In the Framingham Offspring study 1573 subjects were on anti-hypertensive medication out of 3645 total subjects. What is the length of the 99 percent confidence interval for this data.


Note: Round your answer to 4 decimal places.


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