एक दिये गये आँकड़े के लिए 100 प्रेक्षणों का माध्य और S.D. क्रमशः 40 और 5.1 हैं। बाद में यह पाया गया कि एक प्रेक्षण गलती से 40 के बजाय 50 लिखा गया। सही माध्य और S.D ज्ञात कीजिए।
See Answer → ज्ञात कीजिए।
निम्नलिखित में से कौन-से कथन सत्य और कौन-से कथन असत्य हैं? अपने उत्तर के पक्ष संक्षिप्त उपपत्ति या प्रति-उदाहरण दीजिए :
i) n = 6 और P(X = 4) = P(X = 2) वाले द्विपद बंटन का माध्य 3/2 है।
ii) मध्याहृता मध्यिका के परितः न्यूनतम होता है।
iii) 6x³ -7y³ + 4xy का वह प्रांत, जहाँ यह सतत् है, - ∞ <x<∞,0<y<∞ है।
iv)
v) F(x) का CDF F(-∞) = 0, F(x) = 1, x का एक अहासमान फलन, द्वारा परिभाषित है।
See Answer →The first and last term of a series are 4 and 76 respectively. The sum is given to be 1920. Find the number of terms in the series.
See Answer →Calculate the correlation coefficient between X and Y for the following data:
For find the E(x) and V(x).
Solve (1-sin x tan y) dx + (cos x sec" y)dy=0.
See Answer →The position vectors of four points A, B, C and D are
respectively. Show that AB is parallel to CD and CD
How many times the combination of 4 heads and 3 tails will appear when 7 coins are tossed 1000 times?
See Answer →Find the equation of the plane through the intersection of the planes and
and passing through the origin.
Evaluate
Given x+y=6 find the least value of x² + y².
See Answer →If the p.d.f. of xis and zero elsewhere. Find kand S.D. of x.
For a given data, the mean and S.D. of 100 observations were obtained are 40 and 5.1 respectively. Later it was found that an observation was wrongly written as 50 instead of 40. Find the true mean and S.D.
See Answer →Differentiate sin xw.r.t. tanx.
See Answer →Find
se? Give a short proof or a counter - example in support of your answer.
i) The mean of a binomial distribution, when n=6 and P(X=4) = P(X=2) is 3/2.
ii) Mean deviation is minimum about median.
iii) The domain of , 6x3 - 7Y3 + 4xy, where it is continuous is − ∞ < x < ∞ 0, < y < ∞,
iv)
v)The CDF of any distribution satisfies and non-decreasing.