Home
Class 12
MATHS
Given X~ B (n,P) If n= 10 and p=0.4...

Given X~ B (n,P)
If n= 10 and p=0.4 , find E(X) and Var (X) .

Text Solution

Verified by Experts

Given, `X ~ B (n,p), n = 10, p = 0.4`
` :. " " q = 1 - p = 1 - 0.4 = 0.6`
` :. " " E(X) = np = 10 xx 0.4 = 4`
Var (X) = npq = ` 10 xx 0.4 xx 0.6 = 2.4`
Promotional Banner

Topper's Solved these Questions

  • MARCH 2018

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION - II|20 Videos

  • MARCH 2017

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION-II|20 Videos

  • MARCH 2019

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION-D|13 Videos

Similar Questions

Explore conceptually related problems

Given X ~ B(n,p) If n= 20,, E(x)= 10 , Find p, Var(X) and S.D (X)

Given that X ~ B (n, P) . If n = 10, P = 0.4 then E(X) = ...............

Given X~ B(n,p) . If n = 25 , E(x) = 10, find p and S.D (X)

Given X ~ B ( n,p)If p =0 .6 E (X) =6, find n and Var (X)

Let X ~ B (n,P). I f E(X) = 5 and Var (x) = 2.5 find n and p

If X~B(n,p) with n=10,p=0.4 , then E(X^(2))=

Given X ~ B( n, p) if p =0.6 E(X) =6, then the value of Var (X) is

If X ~ B (n,p) with n=10 , p = 0.4 the E (X^(2 ))=?

Given X~B(n,p) if E(X) = 6, Var (X) = 4.2 , find the value of n and p.

For X ~ B (n,p), n = 10, E (X) = 5, then Var (X) =

GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS- MARCH 2018-SECTION - II
  1. Let the p.m.f. of a random variable X be - P(x) = (3 -x)/10 " for ...

    Text Solution

    |

  2. if int0^k (dx)/(2+8x^2)=pi/16 then find the value of k

    Text Solution

    |

  3. Integrating factor of linear differential equation x(dy)/(dx) + 2y = ...

    Text Solution

    |

  4. Evaluate : int e^(x) [(cos x - sin x)/(sin^(2) x)] dx.

    Text Solution

    |

  5. if y = tan^(2) (log x^(3))," find " (dy)/(dx).

    Text Solution

    |

  6. Find the area of ellipse x^(2)/1 + y^(2)/4 = 1.

    Text Solution

    |

  7. Obtain the differential equation by eliminating the arbitrary constant...

    Text Solution

    |

  8. Given X~ B (n,P) If n= 10 and p=0.4 , find E(X) and Var (X) .

    Text Solution

    |

  9. Evaluate : int 1/(3+2 sin x + cos x) dx.

    Text Solution

    |

  10. If x=acos^(3)t,y=asin^(3)t,"show that "(dy)/(dx)=-((y)/(x))^((1)/(3))

    Text Solution

    |

  11. Examine the contionuity of the following functions at the give points ...

    Text Solution

    |

  12. Find all the points of local maxima and minima and the correspondin...

    Text Solution

    |

  13. Prove that : int 1/(a^(2)-x^(2)) dx = 1/(2a) log |(a+x)/(a-x)|+c.

    Text Solution

    |

  14. int(-a)^(a)f(x)dx= 2int(0)^(a)f(x)dx, if f is an even function 0, if...

    Text Solution

    |

  15. If f(x)(x^(2)-9)/(x-3)+alpha, "for" x gt 3 =5, "for" x =3 =2x^(2)+...

    Text Solution

    |

  16. tan^(-1)((5x+1)/(3-x-6x^(2)))

    Text Solution

    |

  17. A fair coin is tossed 8 times. Find the probability that it shows head...

    Text Solution

    |

  18. Verify Rolle's theorem for the following function :f(x)=x^2-4x+10 on [...

    Text Solution

    |

  19. Find the particular solutions of the following differential equation :...

    Text Solution

    |

  20. Find the variance and standard deviation of the random variable X wh...

    Text Solution

    |