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Refer to Q.2, Exercise 14.2. What is the empirical probability that an engineer lives:
(i) less than \\( 7 \\mathrm{~km} \\) from her place of work?
(ii) more than or equal to 7 km from her place of work?
(iii) within $\\frac{1}{2}\\ km$ from her place of work?

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Updated on 10-Oct-2022 13:47:38

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Given:The distance (in km) of 40 engineers from their residence to their place of work were found as follows:5   3  10  20  25  11  13  7  12  31  19  10  12  17  18  11  3  2   17  16  2  7  9  7  8  3  5  12  15  18  3  12  ... Read More

Activity : Note the frequency of two-wheelers, three-wheelers and four-wheelers going past during a time interval, in front of your school gate. Find the probability that any one vehicle out of the total vehicles you have observed is a two-wheeler.

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Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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To do:We have to find the probability that any one vehicle out of the total vehicles you have observed is a two-wheeler.Solution:After observing two-wheelers, three-wheelers and four-wheelers going past during $8:00$ to $9:00$ AM, in front of the school gate, we get the following data:Type of vehicleFrequencyTwo wheelers500Three wheelers200Four wheelers100Therefore, ... Read More

Activity : Ask all the students in your class to write a 3-digit number. Choose any student from the room at random. What is the probability that the number written by her/him is divisible by 3 ? Remember that a number is divisible by 3 , if the sum of its digits is divisible by 3 .

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Updated on 10-Oct-2022 13:47:38

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To do:We have to find the probability that the number written by her/him is divisible by 3.Solution:The total number of students in the class $=30$The probability of selecting a student $= \frac{30}{30}$$= 1$Three digit numbers are $100, 101, .......999$Total number of three digit numbers $= 999 - 100 +1 $$= ... Read More

Eleven bags of wheat flour, each marked \\( 5 \\mathrm{~kg} \\), actually contained the following weights of flour (in \\( \\mathrm{kg} \\) ):
\\( \\begin{array}{lllllllllll}4.97 & 5.05 & 5.08 & 5.03 & 5.00 & 5.06 & 5.08 & 4.98 & 5.04 & 5.07 & 5.00\\end{array} \\)
Find the probability that any of these bags chosen at random contains more than \\( 5 \\mathrm{~kg} \\) of flour.

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Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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Given:Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights of flour(in kg):4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04, 5.07, 5.00To do:We have to find the probability that any of the bags chosen at random contains more than 5 kg of flour.Solution:Total number of ... Read More

In Q-5, Exercise 14.2, you were asked to prepare a frequency distribution table, regarding the concentration of sulphur dioxide in the air in parts per million of a certain city for 30 days. Using this table, find the probability of the concentration of sulphur dioxide in the interval \\( 0.12-0.16 \\) on any of these days.

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Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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Given:The data obtained for 30 days is as follows:0.03  0.08  0.08  0.09  0.04  0.17  0.16  0.05  0.02  0.06  0.18  0.20  0.11  0.08  0.12  0.13  0.22  0.07  0.08  0.01  0.10  0.06  0.09  0.18  0.11  0.07  0.05  0.07  0.01  0.04To do:We have to find the probability of the concentration of sulphur dioxide ... Read More

In Q.1, Exercise 14.2, you were asked to prepare a frequency distribution table regarding the blood groups of 30 students of a class. Use this table to determine the probability that a student of this class, selected at random, has blood group \\( \\mathrm{AB} \\).

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Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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 Given:The blood groups of 30 students of class VIII are recorded as followsA, B, 0, 0, AB, 0, A, 0, B, A, 0, B, A, 0, 0, A, AB, 0, A, A, 0, 0, AB, B, A, B, 0To do:We have to find the probability that a student of this ... Read More

The following number of goals were scored by a team in a series of 10 matches:
$2,3,4,5,0,1,3,3,4,3$
Find the mean, median and mode of these scores.

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Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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Given:The following number of goals were scored by a team in a series of 10 matches:$2, 3, 4, 5, 0, 1, 3, 3, 4, 3$To do:We have to find the mean, median and mode of these scores.Solution:We know that, $\text{ Mean }=\frac{\text { Sum of all the observations }}{\text { Total number ... Read More

In a mathematics test given to 15 students, the following marks (out of 100 ) are recorded:
$41,39,48,52,46,62,54,40,96,52,98,40,42,52,60$
Find the mean, median and mode of this data.

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Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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Given:In a mathematics test given to 15 students, the following marks (out of 100 ) are recorded:$41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60$To do:We have to find the mean, median and mode of these scores.Solution:We know that, $\text{ Mean }=\frac{\text { Sum of ... Read More

The following observations have been arranged in ascending order. If the median of the data is 63 , find the value of \\( x \\).
$29,32,48,50, x, x+2,72,78,84,95$.

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Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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Given:$29, 32, 48, 50, x, x + 2, 72, 78, 84, 95$The median of the data is 63.To do:We have to find the value of $x$.Solution:We know that, Median $= \frac{1}{2}[\frac{n}{2}th\ term+(\frac{n}{2}+1)th\ term]$  (when $n$ is even)$=\frac{n+1}{2}th\ term$    (when $n$ is odd)Here, $n = 10$ which is evenTherefore, Median ... Read More

Find the mode of $14,25,14,28,18,17,18,14,23,22,14,18$.

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Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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To do:We have to find the mode of $14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18$.Solution:To find the mode of the given data, we have to arrange the data in ascending order.The given data in ascending order is $14, 14, 14, 14, 17, 18, 18, 18, 22, ... Read More

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