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Theoretical Probability

The probabili...

Question

The probability of workers having age from 30 to 39 years is:

A

0.135

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B

0.235

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C

0.335

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D

0.435

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Solution

The correct option is A $0.135$
Total no. of workers $= 38 + 27 + 86 + 48 + 3 = 202$
Number of worker's age between $30 - 39 = 27$
$P (E) = \frac{27}{202} = 0.133$

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Q. Question 20
A recent survey found that ages of workers in a factory as follows:

\begin{matrix} A g e (i n y e a r s) & 20 - 29 & 30 - 39 & 40 - 49 & 50 - 59 & 60 a n d a b o v e N u m b e r o f & 38 & 27 & 86 & 46 & 3 w o r k e r s \end{matrix}

If a person is selected at random, find the probability that the person is:
(i) 40 years or more.
(ii) Under 40 years.
(iii) Having age from 30 - 39 years.
(iv) Under 60 but over 39 years.

Q. The probability of age of the workers to be under 40 years is:

Q. The following table shows the age of workers in a factory. Find out the average age of workers.

Age (in Years)	20−29	30−39	40−49	50−59	60−69
Workers	10	8	6	4	2

Q. Average age of 50 employees working in a departmental store is 30 years. In the next year, ten workers will retire. What will be the average age in the next year?(1) Retirement age is sixty years.
(2) There are 100 workers in the department

The table given below shows the ages of 75 teachers in a school.

Age (in years)	18 – 29	30 – 39	40 – 49	50 – 59
Number of teachers	3	27	37	8

A teacher from this school is chosen at random. What is the probability that the selected teacher is
(i) 40 or more than 40 years old?
(ii) of an age lying between 30 – 39 years (including both)?
(iii) 18 years or more and 49 years or less?
(iv) 18 years or more old?
(v) above 60 years of age?
Note Here 18 – 29 means 18 or more but less than or equal to 29.

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