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Mathematics: Post your doubts here!

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3 A sample of 36 data values, x, gave Σ(x − 45) = −148 and Σ(x − 45)2 = 3089.
(i) Find the mean and standard deviation of the 36 values. [3]
(ii) One extra data value of 29 was added to the sample. Find the standard deviation of all 37 values.

how to do the second part?
 
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okay, so do you guys think its possible for one to appear for complete A'level mathematics including P1,P3,M1 and S1 in mayjune with only 6months in hand while he has to appear for A2 phy and computing too?
 
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when u use nd to approx bd u need a cc of +- 0.5.....dat is becuse in binomial distribution u r gvin the probabilty of success and n....here u multiply both n u find ur own mean....also v approximate variance by npq....since frm bd v r usin nd v use +- 0.5....
 
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Could someone please explain what is done in Q3 (ii), I don't understand what is done in the ms
 

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Could someone please explain what is done in Q3 (ii), I don't understand what is done in the ms
this is how I did my work, hope it clears your problem!

You're asked to find how many 'n' is needed, for P(X>=1) > 0.95
Success is obtained when a person rated 'poor', so p = 0.13
Therefore, it wouldn't be a success if the person rate else than 'poor', so q = 0.87

0.95 < P(X>=1)
---P(X>=1) = 1 - P(X=0)----
0.95 < 1 - P(X=0)
0.05 > P(X=0)

P(X=0) = nC0*0.87^n
P(X=0) = 0.87^n
----since nC0 = 1, we can eliminate it from the equation----

therefore,
0.05 > 0.87^n

use logarithm to find out 'n'. I found it 21.5.
if n = 21, then it wouldn't be 0.95 < P(X>=1)
if n =22, the statement 0.95 < P(X>=1) will be true.

So, the answer is 22.
 
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