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thanks buddy for solution
here is important material for exam
Statistics and Probability sta (301)
a) Given the function below
Obtain the value of “c”, so that is a density function.
First we find the value of c
Now, we put the value of c in equation (a)
Now check that f (x) is a density function.
As we know
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”.
As we know
a) During a laboratory experiment the number of radioactive 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 milli-second?
II. What is the probability that at most two particles enter the counter in a given milli-second?
As we know x=6
p(At most two particles enter the counter)=
b) If, then calculate the value of. Where Y is defined as
Apply expectation both sides
E (Y)=3E(X)+5 …(a)
Put the value of E (X) in equation (a)
Please change it don’t copy as it is