Question

When conducting research on color blindness in​ males, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who have a form of color blindness. Determine whether a probability distribution is given. If a probability distribution is​ given, find its mean and standard deviation. If a probability distribution is not​ given, identify the requirements that are not satisfied. X 0 1 2 3 4 5 P(X) 0.649 0.298 0.047 0.005 0.001 0.000

Answer 1

a) Since each probability is greater or equal to 0, and the sum of all the probabilities is

0.649+0.298+0.047+0.005+0.001+0.000 =1

b) The mean is the expected value of random variable X, given as

Also,

Hence, Variance is

hence, standard deviation is