Statistics and Probability MATHS - Statistics and Probability

The King, Queen and Jack of the suit spade are removed from a deck of 52 cards. One card is selected from the remaining cards. Find the probability of getting a heart card bearing the number 5

The King, Queen and Jack of the suit spade are removed from a deck of 52 cards. One card is selected from the remaining cards. Find the probability of getting a diamond

The King, Queen and Jack of the suit spade are removed from a deck of 52 cards. One card is selected from the remaining cards. Find the probability of getting a queen

The King, Queen and Jack of the suit spade are removed from a deck of 52 cards. One card is selected from the remaining cards. Find the probability of getting a spade

In a two children family, find the probability that there is at least one girl in a family

If the range and coefficient of range of the data are 20 and 0.2 respectively, then find the largest and smallest values of the data

The standard deviation of some temperature data in degree Celsius (°C) is 5. If the data were converted into degree Fahrenheit (°F) then what is the variance?

A box contains cards numbered 3, 5, 7, 9, … 35, 37. A card is drawn at random from the box. Find the probability that the drawn card have either multiples of 7 or a prime number.

From a well-shuffled pack of 52 cards, a card is drawn at random. Find the probability of its being either a red king or a black queen

If two dice are rolled, then find the probability of getting the product of face value 6 or the difference of face values 5

The frequency distribution is given below.

x	k	2k	3k	4k	5k	6k
f	2	1	1	1	1	1

In the table, k is a positive integer, has a variance of 160. Determine the value of k.

The diameter of circles (in mm) drawn in the design are given below.

Diameters	33 − 36	37 − 40	41 − 44	45 − 48	49 − 52
Number of circles	15	17	21	22	25

Calculate the standard deviation.

The probability that a student will pass the final examination in both English and Tamil is 0.5 and the probability of passing neither is 0.1. If the probability of passing the English examination is 0.75, what is the probability of passing the Tamil examination?

Prices of peanut packets in various places of two cities are given below. In which city, prices were more stable?

Prices in city A	20	22	19	23	16
Prices in city B	10	20	18	12	15

In a class of 35, students are numbered from 1 to 35. The ratio of boys to girls is 4 : 3. The roll numbers of students begin with boys and end with girls. Find the probability that a student selected is either a boy with prime roll number or a girl with composite roll number or an even roll number.

A coin is tossed thrice. Find the probability of getting exactly two heads or atleast one tail or two consecutive heads

The mean and variance of seven observations are 8 and 16 respectively. If five of these are 2, 4, 10, 12 and 14, then find the remaining two observations.

Which of the following is incorrect?

If the mean and coefficient of variation of a data are 4 and 87.5% then the standard deviation is

If the standard deviation of x, y, z is p then the standard deviation of 3x + 5, 3y + 5, 3z + 5 is

The standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is

Variance of first 20 natural numbers is