Question

No. 1

The medical records of the male diabetic patients reporting to a clinic during one year provide the following;

	Light Case	Serious Case
Age of Patient	Diabetes in patients Yes                No	Diabetes in Patients Yes                 No
Below      40 Above      40	15                 10 15                 20	8                     2 20                  10

Suppose a patient is chosen at random from this group, and the events A, B and Care defined

A: He has a serious case

B: He is below 40

C: His parents are diabetic

Find the probabilities P(A), P(B),P(BC), P(ABC)

No. 2

A biologist studying the internal temperature mechanism of fish wants to test 3 warm temperatures in one half of a divided tank and 2 cold temperatures on the other half. How many pairs of temperature settings are the necessary?

No. 3
Evaluate (a) p_3^10, (b)5!, (c) (13/3),(13/10)

Answer 1

Q 1) The total number of patients in study is = 100

P(A) = No. of patients has serious case/ total number of cases

= (8+2+20+10)/100 =40/100 =0.4

P(B) = no. of patiens below 40 years/ Total number of patients

=(15+10+8+2)/100 =35/100 =0.35

P(BC) = no. of patients below 40 and their parents are diabetic/ total no. of patients

=(15+8)/100 =23/100 =0.23

P(ABC) = no. of patients has serious case, below 40 yrs and their parents are diabetic/ Toatl no. of patients

= 8/100 =0.08