What is 305 divided by 1000?
2 answers:
Answer: 0.305 ; or, as fraction: 
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Note: 305/1000 would be 305 ÷ 1000 ; since you are dividing by "1000" ; you take the number as it is, and move the number back THREE (3) decimal places:
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→ 305. becomes: 0.305 .
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Alternately, 305/1000 can be written in fraction form:
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Both number are divisible by "5" ;
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305/1000 = (305÷5) / (1000÷5) = 61/200 .
___________________________________________________
__________________________________________________
Note: 305/1000 would be 305 ÷ 1000 ; since you are dividing by "1000" ; you take the number as it is, and move the number back THREE (3) decimal places:
________________________________________________
→ 305. becomes: 0.305 .
________________________________________________
Alternately, 305/1000 can be written in fraction form:
________________________________________________
Both number are divisible by "5" ;
________________________________________________
305/1000 = (305÷5) / (1000÷5) = 61/200 .
___________________________________________________
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Answer:
a)
And we can find this probability with this difference and with the normal standard table or excel:
b)
And we can use the z score defined by:
And using the limits we got:
And we want to find this probability:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the resitances of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference and with the normal standard table or excel:
Part b
We select a sample size of n =4. And since the distribution for X is normal then we know that the distribution for the sample mean is given by:
And we want this probability:
And we can use the z score defined by:
And using the limits we got:
And we want to find this probability: