ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern): Questions 149 - 155 of 164

The cumulative frequency is

Median is 46 which lies in the class 40 - 50. So, median class is 40 - 50.

Here n = 229, l = lower limit of median class = 40

cf = cumulative frequency of the above median class = 1…

The property of memory less is that these distributions of ″ time from now to the next period ″ are exactly the same. The property is most easily explained in terms of ″ waiting times.

Suppose X is a discrete random variable whose values is a non-negative. In probability theory, a distribution is said to have lack of memory if

The lack of memory prop…

We know that

We get log_e 7, when

So, the seven ordinates of the integrand using Simpson՚s rule is

Where

Here,

Using Simpson՚s rule is

For finding the conditional distribution, first find the distribution of sum of X₁ , X₂ , … , X_n .

Assume that y-k = n

Similarly, for last two terms,

Given X₁ , X₂ , … , X_n being independent and Poisson distributed with parameters µ_i , i = 1,2, … , n

Then,

The conditional distribution of is

In the question that X₁ , X₂ , … , X_n be independent Poisson va…

Let X_i is random variable of student were given different teaching methods in set I with mean and variance σ₁ ² and Y_j is random variable of student were given different teaching methods in set II with mean and variance σ₂ ² . The hypothesis is

The sample size is n = 8

then test statistic is

The critical value of test statistic to be 1.96

The test cr…

Let X_i is random variable of nine student were tested for after training with mean and variance σ₁ ² and Y_j is random variable of nine student were tested for before training with mean and variance σ₂ ² . The hypothesis is

The sample size is n = 9

Population variance is known and unknown, then test statistic is

The test criteria are reject H₀ if the…