Answer to Question #65677 in Statistics and Probability for Manpreet Singh

Question

a) A sample of size 36 is picked at random from a population of adult males. If the standard
deviation of the distribution of their heights is known to be 3 cms, find the standard error of
the mean if
i) the population consists of 1000 males.
ii) the population is extremely large. (3)
b) Suppose the gene ‘A’ stands for tall and gene ‘a’ stands for short, and ‘A’ is dominant over
‘a’. Suppose the parents are of genotype aa and Aa.
i) In a family like this what is the probability of having a short child?
ii) In a family like this if there are four children, what is the probability that two children
are tall and two children are short?
iii) If you survey a large number of such families having four children, what is the average
number of tall children to be expected in a family?
iv) If you survey 256 families of this type, each having four children, how many families
are expected to have all tall children?