A die is thrown, then find the probability of the following events:
A is an Event: getting an odd number on the top upper surface of the die.
B is an Event: getting a perfect square on the upper surface of the die.
Below is the given frequency distribution of words in an essay
|Number of Words||Number of Candidates|
|600 – 800||8|
|800 – 1000||22|
|1000 – 1200||40|
|1200 – 1400||18|
|1400 - 1600||12|
Find the mean number of words written.
Subjectwise marks obtained by a student in an examination are given below
Draw pie diagram
There are three boys and two girls. A committee of two is to be formed. Find the probability of the following events:
Event A: The committee contains at least one girl
Event B: The committee contains one boy and one girl
The measurements (in mm) of the diameters of the head of the screws are given below:
|Diameter (in mm)||No. of Screws|
|33 — 35||10|
|36 — 38||19|
|39 — 41||23|
|42 — 44||21|
|45 — 47||27|
Calculate mean diameter of head of a screw by ‘Assumed Mean Method’.
The marks scored by students in Mathematics in a certain Examination are given below:
|Marks Scored||Number of Students|
|0 — 20||3|
|20 — 40||8|
|40 — 60||19|
|60 — 80||18|
|80 — 100||6|
Draw histogram for the above data.
Draw the frequency polygon for the following frequency distribution
|Rainfall (in cm)||No. of Years|
|20 — 25||2|
|25 — 30||5|
|30 — 35||8|
|35 — 40||12|
|40 — 45||10|
|45 — 50||7|
The 11th term and the 21st term of an A.P. are 16 and 29 respectively, then find:
(a) The first term and common difference
(b) The 34th term
(c) ‘n’ such that tn = 55
In a certain race, there are three boys A, B, C. The winning probability of A is twice than B and the winning probability of B is twice than C. If P(A) + P(B) + P(C) = 1, then find the probability of win for each boy.
The divisor and quotient of the number 6123 are same and the remainder is half the divisor. Find the divisor.
Find the sum of all numbers from 50 to 350 which are divisible by 6. Hence find the 15th term of that A.P.