Mathematics Part 2

Probability Question 1.Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on (i) the same day? (ii) consecutive days? (iii) different days? […]

Probability Question 1.Complete the statements: Solution: Question 2.Which of the following experiments have equally likely outcomes? Explain.(i) A driver attempts to start a car. The car starts or does not start.(ii) A player attempts to shoot a basketball. She/he shoots or misses the shot.(iii) A trial is made to answer a true-false question. The answer

Statistics Question 1.The following distribution gives the daily income of 50 workers of a factory : Convert the distribution above to a less than type, cumulative frequency distribution and draw its ogive. Solution:Converting the given distribution to a less than type cumulative frequency distribution, we get: Let us now plot the points corresponding to the

Statistics Question 1.The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean and mode of the data and compare them. Solution:-Calculation of medianFirst, we prepare the table given below to compute the median: We have : n = 68 Now, n/2 = 68/2 = 34The cumulative frequency, just greater

Statistics Question 1.The following table shows the ages of the patients admitted in a hospital during a year : Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency. Solution:The class 35 – 45 has the maximum frequency. Therefore, this is the modal class.Here l

Statistics Question 1.A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house. Which method did you use for finding the mean, and

Question 1.A copper wire 3 mm in diameter is wound about a cylinder whose length is 12 cm, and diameter 10 cm, so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of copper to be 8.88 g per cm³. Solution:Curved surface area of

Surface Areas and Volumes Question 1.A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass. S61. Capacity of the glass. Solution:V = (π×h)/3 x (R² + r² + Rr)Here, R =

Surface Areas and Volumes Question 1.A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder. Solution:Volume of the sphere = 4/3 πr³= 4/3 x π x (4.2)² cm³If h is the height of a cylinder of radius 6 cm. Then, its volume=

Surface Areas and Volumes Question 1.A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of n. Solution:Volume of the solid = Volume of