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Draw all possible random samples of size 3 with replacement from theΒ
population 15, 24 ,38Β ,10Β .Β all sample mean equal to population mean
draw all possible samples each of size 3 with replacement from the population 15,24,38,10 so that sample at all sample mean is equal to population mean
Solve (π·
2 β 3π· + 2)π¦ = π₯
2 + sin π₯
The following data shows frequency distribution of error page of a book. Fit Poisson distribution to the following :
Number error - 1,2,3,4,5,6,7,8
Frequency-12,18,19,05,09,14,12,11
a) Solve (π·
2 + 1)π¦ = 3π₯ β 8 cot π₯ where π· =
π
ππ₯
b) Find orthogonal trajectory to the curve given by π = π(1 + cos π)
a) In a circuit containing inductance πΏ, resistance π and voltage πΈ, the current πΌ is
given by πΈ = π πΌ + πΏ
ππΌ
ππ‘
. Given πΏ = 640 β , π = 250 πΊ and πΈ =
500 π£πππ‘ . πΌ being 0 when π‘ = 0. Find the time π‘ that elapses, before the current
πΌ reaches 90% of its maximum value.
[5]
b) Solve the system:
ππ₯
ππ‘
+ π₯ β π¦ = π‘π
π‘
, 2π¦ β
ππ₯
ππ‘
+
ππ¦
ππ‘
= π
Solve (π·
2 β 3π· + 2)π¦ = π₯
2 + sin π₯ where π· =
π
ππ₯
A committee of 8 is to be formed from 16 men and 10 women.
In how many ways can the committee be formed if
i) there are no restrictions.
ii) there must be 4 men and 4 women.
iii) there should be an even number of women.
iv) there are more women than men.
v) there are atleast 6 men.
A committee of 8 is to be formed from 16 men and 10 women.
In how many ways can the committee be formed if
i) there are no restrictions.
ii) there must be 4 men and 4 women.
iii) there should be an even number of women.
iv) there are more women than men.
v) there are atleast 6 men.
Find the integral surface of the linear partial differential equation x(x^2+z)p - y(y^2+z)q = (x^2-y^2)z; p, q has their usual meaning , which contains the straight line
#340153 on Dec 2023