Consider the incomplete character table for a group given below:
All the conjugacy classes are there.
1) What is the order of the group?
2) How many characters are missing?
3) Find the missing character and complete the table.
4) Find the order of the Kemel of the missing character.
In a survey, several people were asked how many years it has been since they purchased a mattress. The results are shown in the table.
|Years since last purchase||0||1||2||3||4||5|
|Number of people|
Evaluate the following (Express the answer in 2 decimal places):
a) Standard deviation (4 Marks)
b) Coefficient of variation (1 Mark)
c) Expected value of x, that is E(x) (2 Marks)
d) Variance of x, that is Var(x)(3 Marks)
e) The probability of having bought a mattress in the last 3 years. (1 Mark)
A car travels at 108 kph from A to B for t seconds, applies the brakes for 4 seconds between B and C to give the car a constant deceleration and a speed of 72 kph at C, and finally travels at this speed from C to D, also for t seconds. If the total horizontal distance from A to D is 3100 m, determine the distance between A and B.
On average,a certain intersection results in 3 accidents per day.find the probability that: a)no accidents will occur in a given day?
The probability of an event to happen in the next week is p and It is constant throughout the week What is the probability of this event to happen in the next 2 days?