According to the Mendelian theory of inherited charateristics, a cross ferilizatiopn of related species of red and white flowered plants produces a generation whose offspring contain 25% red-flowered plants. Suppose that a horticulturist wishes to cross 5 pairs of the cross-fertilized speices.
A) Justify that each cross fertitlization of the red and white flowered plants is a Bernoulli trial. Let X be the number of red-flowered plants in 5 pairs of cross-fertilized speices.
B) is X a binomial random variable? if so, identify n and p
C) Determine the probability that there will be no red flowered plants
D) Determine the probability that there wil be at least one red flowered plant
E) Determine E(X), Var(X), and SD(X).