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Definition of Sets

On a hage of ...

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On a hage of a telephone directory, these are 200 telephone numbers . The frequency distribution of the digits at their units given below

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Solution

The frequency distribution of the digits at their units is not given

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Q. On one page of a telephone directory there were

200

telephone numbers. The frequency distribution of their unit place digit is given in the following table:

Digit	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$
Frequency	$22$	$26$	$22$	$22$	$20$	$10$	$14$	$28$	$16$	$20$

Q. On a page of a telephone directory, there are 300 telephone numbers. The frequency distribution of the digits at the unit's place is given below :

Unit digit	0	1	2	3	4	5	6	7	8	9
Frequency	35	21	28	30	25	14	16	38	38	55

Without looking at the page, a number is chosen at random from the page. What is the probability that the digit at the unit's place of the number chosen is greater than 3 but less than 9?

On one page of a telephone directory, there are 200 phone numbers. The frequency distribution of their unit's digits is given below:

$\begin{matrix} Unit's digit & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 Frequency & 19 & 22 & 23 & 19 & 21 & 24 & 23 & 18 & 16 & 15 \end{matrix}$

One of the numbers is chosen at random from the page. What is the probability that the unit's digit of the chosen number is (i) 5? (ii) 8?

Q. On a page of a telephone directory, there are 200 telephone numbers. The frequency distribution of the digits at their units place is given below:

Unit digit	0	1	2	3	4	5	6	7	8	9
Frequency	22	26	22	22	20	10	14	28	16	20

Without looking at the page, a number is chosen at random from the page. What is the probability that the digit at the unit's place of the number chosen is greater than 6?

Q. On one page of a telephone directory, there are 200 phone numbers. The frequency distribution of their units digits is given below:

Units digit	0	1	2	3	4	5	6	7	8	9
Frequency	19	22	23	19	21	24	23	18	16	15

One of the numbers is chosen at random from the page. What is the probability that the units digit of the chosen number is
(i) 5?
(ii) 8?

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