Question

if you know that then please rply me show this with method and statement if enyone answer anything else then I will report the answers ​

Answer 1

Question 1 -

In a box , there are 16 stamps . Each stamp is marked with distinct numbers from 1 to 16 .

If the probability of Drawing a stamp marked an even number is { 1 / k } , find the value of k .

Solution -

In the above Question , the following information is given -

In a box , there are 16 stamps . Each stamp is marked with distinct numbers from 1 to 16 .

Now ,

First , let us find out , how many even numbered stamps are there in the box .

Here ,

The numbers range from 1 - 16 .

Even numbered stamps are those stamps , whose numbers are in the 2k form .

So ,

Even numbered stamps -

=> 2 , 4 , 6 , 8 , 10 , 12 , 14 and 16 .

Now ,

Number of even numbered stamps -

=> 8 stamps.

Sample Space -

=> Total Number of stamps

=> 16 - 1 + 1

=> 16 stamps .

Required Probability -

=> [ Number of Favourable Cases ] / [ Total number of outcomes ]

=> [ 8 / 16 ]

=> [ 1 / 2 ]

But , this is equal to [ 1 / k ]

Thus, we can conclude that the required value of k is 2 .

Question 2 -

The range of the data , 11 , 40 , 36 , 10, 25 , 30 , 15, 14 is k .

Find k

Solution -

Here , we are provided with the following data -

11 , 40 , 36 , 10, 25 , 30 , 15, 14

Thus is in the form of raw data or unorganized data .

So ,

Let us arrange this in ascending order first -

=>

• 10

• 11

• 14

• 15

• 25

• 30

• 36

• 40

Now , we can observe that -

The highest value is 40 and the lowest value is 10 .

Range is the difference between the highest and the lowest value in a data .

Thus ,

Range = 40 - 10

=> Range = 30

But , this is equal to k .

Hence , the required value of k is 30.

______________

Answer 2

$\sf\large Answer \ To \ Question \ 1$

$\huge\sf\purple{Steps}$

First find out the number of even numbered stamps,

So here the formula for even Number stamps is 2k

Now, the even numbered stamps are,

➢ 2,4,6,10.....16

So the number of even numbered stamps is 8

Now the sample space is just the , The total number of stamps

➝ 6 + 1 - 1

➝ 6 stamps

So the Probability is,

➼ $\sf\dfrac{Total \ Stamps}{Total \ Outcomes}$

➼ $\sf\dfrac{8}{16}$

➼ $\sf\dfrac{1}{2}$

But as we know this is not equal to $\sf\dfrac{1}{k}$

Thus, The Value of $\sf\orange{K = 2}$

$\rule{170}3$

$\sf\large Answer \ To \ Question \ 2$

$\huge\sf\purple{Steps}$

So here we have to first arrange the given data in ascending order, that is as,

✏ $\sf 10,11,14,15,25,30,40$

So now if you observe the table we find that the highest value is 40 and the lowest value is 10

So The Range of a data is given by,

➳ Range = Highest Value - Lowest Value

➳ Range = 40 - 10

➳ $\sf \green{Range(k) = 30}$

$\rule{170}3$