मराठी

Given Below is the Frequency Distribution Table Regarding the Concentration of Sulphur Dioxide in the Air in Parts per Million of a Certain City for 30 Days. - Mathematics

Advertisements
Advertisements

प्रश्न

Given below is the frequency distribution table regarding the concentration of sulphur dioxide in the air in parts per million of a certain city for 30 days.

Conc. of SO2 0.00-0.04 0.04-0.08 0.08-0.12 0.12-0.16 0.16-0.20 0.20-0.24
No. days: 4 8 9 2 4 3
 

Find the probability of concentration of sulphur dioxide in the interval 0.12-0.16 on any of these days.

थोडक्यात उत्तर

उत्तर

The total number of trials is 30.

Remember the empirical or experimental or observed frequency approach to probability.

If n be the total number of trials of an experiment and A is an event associated to it such that A happens in m-trials. Then the empirical probability of happening of event is denoted by P (A)  and is given by

`P (A) = m/n`

Let A1 be the event that the concentration of sulphur dioxide in a day is 0.12-0.16 parts per million.

The number of times A1 happens is 2.

Therefore, we have

` P(A_1) = 2/30`

             `=1/15`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 25: Probability - Exercise 25.1 [पृष्ठ १४]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 9
पाठ 25 Probability
Exercise 25.1 | Q 11 | पृष्ठ १४

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

A teacher wanted to analyse the performance of two sections of students in a mathematics test of 100 marks. Looking at their performances, she found that a few students got under 20 marks and a few got 70 marks or above. So she decided to group them into intervals of varying sizes as follows: 0 − 20, 20 − 30… 60 − 70, 70 − 100. Then she formed the following table:-

Marks Number of students
0 - 20 7
20 - 30 10
30 - 40 10
40 - 50 20
50 - 60 20
60 - 70 15
70 - above 8
         Total                               90

(i) Find the probability that a student obtained less than 20 % in the mathematics test.

(ii) Find the probability that a student obtained marks 60 or above.


To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the following table.

Opinion Number of students
like 135
dislike 65

Find the probability that a student chosen at random

(i) likes statistics, (ii) does not like it


Two coins are tossed simultaneously 500 times with the following frequencies of different outcomes:
Two heads: 95 times
One tail: 290 times
No head: 115 times
Find the probability of occurrence of each of these events.


1500 families with 2 children were selected randomly and the following data were recorded:

Number of girls in a family 0 1 2
Number of families 211 814 475

 

If a family is chosen at random, compute the probability that it has:
(i) No girl
(ii) 1 girl
(iii) 2 girls
(iv) at most one girl
(v) more girls than boys

In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays.
(i) he hits boundary
(ii) he does not hit a boundary.


The percentage of attendance of different classes in a year in a school is given below:

Class: X IX VIII VII VI V
Attendance: 30 62 85 92 76 55

What is the probability that the class attendance is more than 75%?


In a survey of 364 children aged 19 – 36 months, it was found that 91 liked to eat potato chips. If a child is selected at random, the probability that he/she does not like to eat potato chips is ______.


80 bulbs are selected at random from a lot and their life time (in hrs) is recorded in the form of a frequency table given below :

Life time (in hours) 300 500 700 900 1100
Frequency 10 12 23 25 10

The probability that bulbs selected randomly from the lot has life less than 900 hours is:


A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of television sets in a home. The information so obtained is listed in the following table:

Monthly income
(in Rs)
Number of Television/household
0 1 2 Above 2
< 10000 20 80 10 0
10000 – 14999 10 240 60 0
15000 – 19999 0 380 120 30
20000 – 24999 0 520 370 80
25000 and above 0 1100 760 220

Find the probability of a household not having any television.


Over the past 200 working days, the number of defective parts produced by a machine is given in the following table:

Number of
defective parts
0 1 2 3 4 5 6 7 8 9 10 11 12 13
Days 50 32 22 18 12 12 10 10 10 8 6 6 2 2

Determine the probability that tomorrow’s output will have more than 13 defective parts


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×