Answer to Question #60655 in Statistics and Probability for esita

Question

a) Let the random variable X have the following distribution:
P( and X = )0 = P(X = )2 = p
P(X = )1 =1− 2 p where
2
1
0 ≤ p ≤
for what value of p is the ) var(X a maximum? Justify. (3)
b) In a binomial distribution consisting of 5 independent trials, probabilities of 1 and 2
successes are 0.4096 and 0.2048 respectively. Find the parameter ‘ p ’ of the
distribution. (3)
c) Fit a Poisson distribution to the following data: (4)

5
No. of mistakes per
page:
0 1 2 3 4 Total
Number of pages: 109 65 22 3 1 200