Saturday, 12 January 2013
Assignment No: 3 (Lessons 23-30)
Question 1: Marks: 4+4=8
a) Given the function below
f (x) c(1 x) 0 x 1
Obtain the value of “c”, so that f (x) is a density function.
b) A random variable “X” following binomial distribution has its mean and variance,
18 and 3.52 respectively. Calculate the value of “n” and “p”.
Question 2: Marks: 5+2=7
a) During a laboratory experiment the number of radio active particles passing
through a counter in one milli-second is 4.
I. What is the probability that 6 particles enter the counter in a given millisecond?
II. What is the probability that at most two particles enter the counter in a given
milli-second?
b) If E(X) 5 , then calculate the value of E(Y) . Where Y is defined as
Y 3X 5
-END
Question 1: Marks: 4+4=8
a) Given the function below
f (x) c(1 x) 0 x 1
Obtain the value of “c”, so that f (x) is a density function.
b) A random variable “X” following binomial distribution has its mean and variance,
18 and 3.52 respectively. Calculate the value of “n” and “p”.
Question 2: Marks: 5+2=7
a) During a laboratory experiment the number of radio active particles passing
through a counter in one milli-second is 4.
I. What is the probability that 6 particles enter the counter in a given millisecond?
II. What is the probability that at most two particles enter the counter in a given
milli-second?
b) If E(X) 5 , then calculate the value of E(Y) . Where Y is defined as
Y 3X 5
-END
