A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the likelihood that people were absent 0, 1, 2, 3, 4, or 5 days last month. what is the mode

0

Step-by-step explanation:

The table for the statistics has been attached to this response.

From the table;

The total number of days absent is given by;

0 + 1 + 2 + 3 + 4 + 5 = 15

Note that;

Frequency of each of the numbers of days absent = probability x total number of days absent.

(i) When the number of days absent = 0

Frequency = 0.60 x 15 = 9

(ii) When the number of days absent = 1

Frequency = 0.20 x 15 = 3

(iii) When the number of days absent = 2

Frequency = 0.12 x 15 = 1.8

(iv) When the number of days absent = 3

Frequency = 0.04 x 15 = 0.6

(v) When the number of days absent = 4

Frequency = 0.04 x 15 = 0.6

(vi) When the number of days absent = 5

Frequency = 0.00 x 15 = 0

Now to calculate the mode, remember that the mode of a distribution is that data that has the highest number of frequency.

From the calculations above, it is evident that the mode of the number of days absent is 0 since it has the highest frequency which is 9.

x = 3

Step-by-step explanation:

Subtract  23  from both sides of the equation

Simplify

Subtract  2x from both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify