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Mendelian theory of inherited characteristics

According to the mendelian theory of inherited characteristics, a cross fertilization 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 species

a) Justify that each cross fertilization of the red-and white flowered plants is a bernouli trial , let X be the number of red flowered plants in 5 pairs of the cross-fertilized

b) Is X a binomial random variable? if so , identify n and p

c) Determine the probability that there will be no red flowered plant

d) Determine the probability that there will be at least one red flowered plant

e) Determine E(X), Var (X) and SD(X)

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