Math Chapter Wise

EnglishOAVS TGT 2019

Q101.In a town there are 4 crossroads with traffic. Each traffic light opens or closes the traffic with the same probability of 0.5, then the probability of a car crossing all the crossroads 4 without stopping is:

A0.05 B0.0625 C0.025 D0.0125

Show answer

EnglishOAVS TGT 2019

Q102.The value of k for the probability density function of a variate X is equal to: X 0 1 2 3 4 5 6 P(X) k 2k 4k 6k 7k 8k 11k

A0 B1 C1/39 D1/35

Show answer

EnglishDSE TGT 2019

Q103.To create a code for each employee in a Company, 5 letters (A to E) and 10 digits (0 to 9) can be used. A Code consists of 3 letters followed by 3 digits. What is the probability that all the three letters are same in the code?

A1/25 B1/125 C72/12500 D72/2500

Show answer

EnglishDSE TGT 2019

Q104.In an experiment with 15 observations on 'x' the following results are available ∑ ∑ ∑x2 = 2830, ∑ ∑x = 170. One observation that was 20, was found to be wrong and was replaced by correct value 30. What is the correct variance?

A186 B158 C18 D78

Show answer

EnglishOAVS TGT 2018

Q105.Find the minimum number of students required in a class to be sure that three of them are born in the same month.

A20 B25 C15 D10

Show answer

EnglishOAVS TGT 2018

Q106.Two numbers 'a' and 'b' are selected successively without replacement in that order from the integers 1 to 10. The probability that a/b is an integer is:

A17/45 B8/45 C17/90 D1/5

Show answer

EnglishOAVS TGT 2018

Q107.Which of the following inequalities is useful for interpreting variance?

AChebyshev BStatutory CAll of the given options DTestory

Show answer

EnglishOAVS TGT 2018

Q108.Conditions such as large sample size to represent the population and random drawing of samples are included in:

Athe Principle of Inertia Bthe Principle of Sampling Error Cthe Principle of Statistical Regularity Dthe Principle of Statistical Irregularity

Show answer

EnglishOAVS TGT 2018

Q109.Variables of linear equations are implicitly raised to:

AThird Power BFourth Power CFirst Power DSecond Power

Show answer

EnglishOAVS TGT 2018

Q110.Two unbiased coins are tossed. What is the probability of at most one tail?

A1/2 B1/3 C3/2 D3/4

Show answer

EnglishOAVS TGT 2018

Q111.Which of the following is one of the categories of statistical methods?

AIndustry statistics BDecision science CManagerial statistics DInferential statistics

Show answer

EnglishOAVS TGT 2018

Q112.What is a measure of spread of a random variable?

AVariance BStandard Deviation CAll of the given options DEmpirical Mean

Show answer

EnglishOAVS TGT 2018

Q113.The square root of variance is called:

AMean BStandard Deviation CEmpirical Deviation DContinuous Deviation

Show answer

EnglishJSSC PGT 2018

Q114.Consider 10 tosses of a fair dice. Let Xt denote the number of times digit 'i' appears. Find P () 2 1 P X = 2 X = 2.

A() () 2 8 10 2 C 1/6 5/6 B() () 2 6 8 2 C 1/5 4/5 C() () 2 6 8 2 C 1/6 5/6 D() 2 1/6

Show answer

EnglishJSSC PGT 2018

Q115.We have P (X = x, Y = y) = 1/9 for all { } x,y 1,2,3 ∈. Find P (X > Y).

A0 B1/3 C1 D1/2

Show answer

EnglishJSSC PGT 2018

Q116.The size of a population of small rodents was recorded as follows: Month 0 2 6 10 Population 2 5 20 109 The growth rate as a percentage per month and the population at the end of 12 months are respectively:

A37.2428% and 234 B38.2428% and 235 C32.2428% and 131 D39.2428% and 231

Show answer

EnglishJSSC PGT 2018

Q117.Consider 10 tosses of a biased coin with probability of obtaining head as 1/3. Let Y denote the total number of tails observed. Find E (5Y + 2)

A10 B56/3 C106/3 D10/3

Show answer

EnglishJSSC PGT 2018

Q118.In a take-away food joint with single service counter, the customers are served on a first- come-first-serve basis. The arrival rate of customers follows Poisson distribution, while the expected service time follows exponential distribution. If 2 customers arrive every 10 minutes and 18 customers are served per hour, what is the probability for an incoming customer to wait for more than 30 minutes before being served?

A(2/3)e–4 B(2/3)e–2.5 C(2/3)e–3 D(2/3)e–2

Show answer

EnglishJSSC PGT 2018

Q119.Suppose (X, Y) jointly distributed with the following density function: () 2 2 1/xif s + t 1 f s,t = 0 otherwise ≤ Find Cov (X, Y).

A–1 B1 C0 Dπ

Show answer

EnglishJSSC PGT 2018

Q120.Which one of the following gives a pair of independent random variables?

A10 coins are thrown at random. X denotes the total number of heads that appear and Y denotes the total number of tails that appear. B10 coins are tossed at random. X denotes the total number of heads appeared on even tosses i.e., on 2; 4,.., 10th toss whereas Y denotes the total number tails appeared on odd tosses i.e., 1st, 3rd,...9th toss. CFor 1 ≤ i ≤ 6, let Xi denote the number of times digit 'i' appears in 10 tosses of a dice. Consider (X1, X2). DTwo dice are thrown at random and X denote the maximum of the digits appeared and Y denote the minimum of the digits appeared.

Show answer