Mathematics

# For $X \rightarrow B (n,p), n =10, E(X)=5$< then $p=$

$0.01$

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Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 84

#### Realted Questions

Q1 Subjective Medium
Obtain: $\displaystyle \int _{ 0 }^{ 1 }{ \tan ^{ -1 }{ \left( \cfrac { 1 }{ 1-x+{ x }^{ 2 } } \right) } } dx$, where $0< x< 1$

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Medium
Evaluate :   $\displaystyle \int (-3x^4+\pi x^{11})dx$

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Hard
$\displaystyle \int_{0}^{100 \pi}\sqrt {1-\cos 2x}dx$ is
• A. $200\sqrt {2}$
• B. $100\sqrt {2}$
• C. $none\ of\ these$
• D. $0$

1 Verified Answer | Published on 17th 09, 2020

Q4 Single Correct Hard
The value of the definite integral $\int_\limits{ 1}^e( (x+1)e^x\ln x) dx$ is-
• A. $e$
• B. $e^e(e-1)$
• C. $e^{x+1}$
• D. $e^{e+1}+e$

Consider two differentiable functions $f(x), g(x)$ satisfying $\displaystyle 6\int f(x)g(x)dx=x^{6}+3x^{4}+3x^{2}+c$ & $\displaystyle 2 \int \frac {g(x)dx}{f(x)}=x^{2}+c$. where $\displaystyle f(x)>0 \forall x \in R$