Home
Class 12
MATHS
Let x1, x2 ... xn be n observations sach...

Let `x_1, x_2 ... x_n` be `n` observations sach that `sum x_i^2=200` and `sum x_i=40` then least integral value of `n`

Text Solution

Verified by Experts

The correct Answer is:
9
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    CENGAGE|Exercise Comprehension|2 Videos
  • PROBABILITY I

    CENGAGE|Exercise JEE Advanced Previous Year|7 Videos

Similar Questions

Explore conceptually related problems

Let x_(1),x_(2),…..x_(n) be n observations such that sumx_(i)^(2)=400andsumx_(i)=80 . Then a possible value if n among the following is

Let x_(1),x_(2),..,x_(n) be n observations, and let x be their arithmetic mean and sigma^(2) be the variance Statement 1 : Variance of 2x_(1),2x_(2),..,2x_(n) " is" 4sigma^(2) . Statement 2: Arithmetic mean 2x_(1),2x_(2),..,2x_(n) is 4x.

The mean and variance of n observations x_(1),x_(2),x_(3),...x_(n) are 5 and 0 respectively. If sum_(i=1)^(n)x_(i)^(2)=400 , then the value of n is equal to

If x_1, x_2, .. x_18 are observations sach the underset(j =1)overset(18)sum(x_j-8)= 9 and underset(j =1)overset(18)sum(x_j-8)^2 = 45 , then the standard deviation. of these observations is:

If f is a function satisfying f (x +y) = f(x) f(y) for all x, y in N such that f(1) = 3 and sum _(x=1)^nf(x)=120 , find the value of n.

If n gt 0 and exactly 15 integers satisfying (x+6)(x-4 ) (x-5) (2x-n) le 0 then sum of digits of the least possible value of n is

The standard deviation of n obervations x_(1),x_(2).....,x_(n) is 2. If sum_(i=1)^(n)x_(i)=20andsum_(i=1)^(n)x_(i)^(2)=100 , then n is

If 6^(th) term in the expansion of ((3)/(2)+(x)/(3))^(n) is numerically greatest, when x=3 , then the sum of possible integral values of 'n' is

A path of length n is a sequence of points (x_(1),y_(1)) , (x_(2),y_(2)) ,…., (x_(n),y_(n)) with integer coordinates such that for all i between 1 and n-1 both inclusive, either x_(i+1)=x_(i)+1 and y_(i+1)=y_(i) (in which case we say the i^(th) step is rightward) or x_(i+1)=x_(i) and y_(i+1)=y_(i)+1 ( in which case we say that the i^(th) step is upward ). This path is said to start at (x_(1),y_(1)) and end at (x_(n),y_(n)) . Let P(a,b) , for a and b non-negative integers, denotes the number of paths that start at (0,0) and end at (a,b) . The value of sum_(i=0)^(10)P(i,10-i) is

CENGAGE-PROBABILITY AND STATISTICS-Question Bank
  1. A 2 xx 2 matrix is formed with entries from the set 0,1. The probebili...

    Text Solution

    |

  2. Two boys A and B find the jumble of n ropes lying on the floor. Each t...

    Text Solution

    |

  3. On a normal standard dic one of the 21 dots from any one of the six fa...

    Text Solution

    |

  4. Miss C has either Tea or Coffee at moming break. If she has tea one mo...

    Text Solution

    |

  5. A bowl hes 6 red marbles and 3 green marbles. The probebility that a b...

    Text Solution

    |

  6. Lot A consists of 3 G and 2 D articles. Lot B consists of 4 G and 1 D ...

    Text Solution

    |

  7. Let A and B are cvents of an experiment of P(A)=1/4, P(A uu B)=1/2 the...

    Text Solution

    |

  8. The probability that a positive two digit number selected at random ha...

    Text Solution

    |

  9. If the papers of 4 students randomly đistributed for checking among 7 ...

    Text Solution

    |

  10. A six faced fair dice is thrown until 2 comes, then the probability th...

    Text Solution

    |

  11. If a variable takes the discrete values p+4, p-7/2, p-5/2, p-3, p-2, p...

    Text Solution

    |

  12. The variance of 20 observations is 5 . If eech observation is multipli...

    Text Solution

    |

  13. The mean weight of 9 items is 15 . If one more item is added to the se...

    Text Solution

    |

  14. Consider the frequency distribution of the given pumber If mean of the...

    Text Solution

    |

  15. x1, x2 …. x(34) are numbers such that xi=xi+1-150 forall i in1,2,3, .....

    Text Solution

    |

  16. The mean of 5 observations is 4 and their variancé is 52 . If three of...

    Text Solution

    |

  17. If x1, x2, .. x18 are observations sach the underset(j =1)overset(18)...

    Text Solution

    |

  18. Two cards are drawn without replacement from a wellshuffled deck of 52...

    Text Solution

    |

  19. Let x1, x2 ... xn be n observations sach that sum xi^2=200 and sum xi=...

    Text Solution

    |

  20. If in a frequency distribution, the mean and median are 25 and 26 , th...

    Text Solution

    |