Employees at a Hospital
Years Worked Nurse Doctor Technician Total
Less than $2$ $20$ $10$ $20$ $50$
$2$ to $5$ $15$ $15$ $10$ $40$
$6$ to $10$ $13$ $18$ $18$ $49$
More than $10$ $12$ $10$ $12$ $34$
Total $60$ $53$ $60$ $173$
The table above shows the years worked by employees at a hospital. Calculate the probability that a technician has worked for $6$ or more years.

90

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75

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65

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50

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Solution

The correct option is D $50$ %
The total number of technician is $60$ .
The total number of technician who have worked for more than $6$ years is $= 18 + 12 = 30$ .
Hence, the required probability is $= \frac{30}{60} = \frac{1}{2} = 0.5$ .
Hence, the probability that the technician worked for $6$ or more years is $50 %$ .

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Similar questions

Following are the ages (in years) of 360 patients, getting medical treatment in a hospital:

Age (in years)	10 – 20	20 – 30	30 – 40	40 – 50	50 – 60	60 – 70
Number of patients	90	50	60	80	50	30

One of the patients is selected at random.
What is the probability that his age is
(i) 30 years or more but less than 40 years?
(ii) 50 years or more but less than 70 years?
(iii) 10 years or more but less than 40 years?
(iv) 10 years or more?
(v) less than 10 years?

Q. Find mode for the following data.

Employees salary	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$
No. of employees	$10$	$12$	$18$	$8$	$9$	$5$	$6$	$4$

Q. Following are the ages (in years) of 360 patients, getting medical treatment in a hospital:

Age (in years)	10−20	20−30	30−40	40−50	50−60	60−70
Number of patients	90	50	60	80	50	30

One of the patients is selected at random.
Find the probability that his age is
(i) 30 years or more but less than 40 years
(ii) 50 years or more but less than 70 years
(iii) less than 10 years
(iv) 10 years or more

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

Age (in years)	18−29	30−39	40−49	50−59
No. of teachers	5	25	35	10

Here 18−29 means from 18 to 29, including both.
A teacher from the school is chosen at random. What is the probability that the teacher chosen is
(i) 40 or more than 40 years old?
(ii) 49 or less than 49 years old?
(iii) 60 or more than 60 years old?

Following are the ages (in years) of 360 patients, getting medical treatment in a hospital:

$\begin{matrix} Age & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 (in years) Number of patients & 90 & 50 & 60 & 80 & 50 & 30 \end{matrix}$

One of the patients is selected at random.

What is the probability that his age is

(i) 30 years or more but less than 40 years?

(ii) 50 years or more but less than 70 years?

(iii) 10 years or more but less than 40 years?

(iv) 10 years or more?

(v) less than 10 years?

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Years Worked	Nurse	Doctor	Technician	Total
Less than $2$	$20$	$10$	$20$	$50$
$2$ to $5$	$15$	$15$	$10$	$40$
$6$ to $10$	$13$	$18$	$18$	$49$
More than $10$	$12$	$10$	$12$	$34$
Total	$60$	$53$	$60$	$173$

Employees at a HospitalYears WorkedNurseDoctorTechnicianTotalLess than 2201020502 to 5151510406 to 1013181849More than 1012101234Total605360173The table above shows the years worked by employees at a hospital. Calculate the probability that a technician has worked for 6 or more years.

The correct option is D 50%The total number of technician is 60. The total number of technician who have worked for more than 6 years is =18+12=30. Hence, the required probability is =3060=12=0.5. Hence, the probability that the technician worked for 6 or more years is 50%.