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Tutorialspoint
54 Views
To do:We have to derive the formula for the curved surface area and total surface area of the frustum of the cone.Solution:Let $ABC$ be a cone. From the cone the frustum $DECB$ is cut by a plane parallel to its base.$r_1$ and $r_2$ be the radii of the frustum ends ... Read More
Tutorialspoint
83 Views
To do:We have to find(i) The probability that a student obtained less than \( 20 \% \) in the mathematics test.(ii) The probability that a student obtained marks 60 or above.Solution:MarksNumber of students0-20720-301030-401040-502050-602060-701570-above8Total90The total number of students $=90$We know that, Probability of an event=$ \frac{\text { Number of favourable outcomes ... Read More
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
Tutorialspoint
37 Views
Given:A survey of 200 students was conducted.To do:We have to find the probability that a student chosen at random (i) likes Mathematics.(ii) does not like it.Solution:(i) Total number of students $=200$Number of students who like statistics $=135$We know that, Probability of an event=$ \frac{Number \ of \ favourable \ outcomes}{Total \ ... Read More
Tutorialspoint
39 Views
Given:An organisation selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. A family is chosen.To do:We have to find the probability that the family chosen is(i) earning \( Rs. 10000-13000 \) per month and owning exactly 2 ... Read More
Tutorialspoint
64 Views
Given:Three coins are tossed simultaneously 200 times.The three coins are simultaneously tossed again.To do:We have to find the probability of 2 heads coming up.Solution:Total number of outcomes $=200$Number of events in which two heads come up $=72$We know that, Probability of an event=$ \frac{\text{ Number of favourable outcomes }}{\text { ... Read More
Tutorialspoint
372 Views
To do:We have to find the probability that a student of the class was born in August.Solution:Total number of students in the class $= 40$Number of students born in August $= 6$We know that, Probability of an event=$ \frac{\text{ Number of favourable outcomes }}{\text { Total number of outcomes }}$The ... Read More
Tutorialspoint
130 Views
Given:In a cricket match, a batswoman hits a boundary 6 times out of 30 balls she plays.To do:We have to find the probability that she did not hit a boundary.Solution:Total number of outcomes $=30$The number of times she does not hit a boundary $=30-6$$=24$We know that, Probability of an event=$ ... Read More
Tutorialspoint
40 Views
Given:100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames.To do:We have to (i) Draw a histogram to depict the given information.(ii) Write the class interval in which the maximum number of surnames lie.Solution:(i) ... Read More
Tutorialspoint
71 Views
Given:A random survey of the number of children of various age groups playing in a park.To do:We have to draw a histogram to represent the data above.Solution:The width of the class intervals in the given data is varying.We know that, The area of rectangle is proportional to the frequencies in ... Read More
Tutorialspoint
81 Views
Given:The runs scored by two teams \( A \) and \( B \) on the first 60 balls in a cricket match.To do:We have to represent the data of both the teams on the same graph by frequency polygons.Solution:The data given in the question is represented in discontinuous class intervals.To ... Read More