FINAL ANSWER KEY

Question Paper Code: 44/2023/0L

Category Code: 394/2021

Exam: Higher Secondary School Teacher Statistics
Medium of Question: English

Date of Test 14-03-2023

Department Kerala Higher Secondary Education
Alphacode A

Question1:-Variance of the integers from —n to +n will be

*((n+1)(2n+1))/(6)°

(൫൩൫൮൨൭൫൭

((n+1)(2n+1))(6)°
D:-*(n(n+1))/(3)>
Correct Answer:- Option-D

Question2:-Which of the following statement is true ?
A:-Mutually exclusive events are always independent
B:-Mutually exclusive events are sometimes independent
C:-Mutually exclusive events are always dependent
D:-There is no connection between independence and mutually exclusiveness
Correct Answer:- Option-C

Question3:-Which of the following condition is not necessary for a class of events B to become a sigma field ?
A:-The sample space S ‘epsi* B *Phiepsi B
B:-If a set A "ஜி B, 2൨09" ` €` B
0൮, 2൧2, ..., “ട്‌ ಈ. their union and intersection are also in B
D:-None of the above
Correct Answer:- Option-D
Question4:-The probability that a leap year will have 53 sundays
:८- (2)/(7)"
*(52)/(53)°
ധ്‌
0:- (1/3)
Correct Answer:- Option-A
Question5:-The distribution which has mean always less than variance is
A:-Normal distribution
B:-Binomial distribution
C:-Weibull distribution
D:-Negative binomial distribution
Correct Answer:- Option-D

Question6:-The moment generating function of a random variable X is ‘M_(X)(t)=(7)/(10)+(1)/(3)e*(2t)+(4)(15)e*(3t).”
Then the expected value of X is

A (7)(15)°

(22)(15)°

(22/10):

ഉ:- (17)/(15)”

Correct Answer:- Option-B

Question7:-In a normal curve, if the area to the right of the point *x_(1)° is 0.6 and area to the left of the point *x_(2)° is 0.7.
Then

A: x_(1)x_(1)>x_(2)°
சே (10-02)
D:-x_(1)+x_(2)=1°
Correct Answer:- Option-A
Question8:-If X is a random variable with E(X) = 3 and V(X) = 2 and if P{|X - 3| < h} ‘>=" 0.99, then the value of h is
A:-14.14
B:-1.414