Pea plants contain two genes for seed color, each of which may be Y (for yellow seeds) or G (for green seeds). Plants that contain one of each type of gene are called heterozygous. According to the Mendelian theory of genetics, if two heterozygous plants are crossed, each of their offspring will have probability 0.75 of having yellow seeds and probability 0.25 of having green seeds. a) Out of 10 offspring of heterozygous plants, what is the probability that exactly 3 have green seeds? b) Out of 10 offspring of heterozygous plants, what is the probability that more than 2 have green seeds? c) Out of 100 offspring of heterozygous plants, what is the probability that more than 30 have green seeds? d) Out of 100 offspring of heterozygous plants, what is the probability that between 30 and 35 inclusive have green seeds? e) Out of 100 offspring of heterozygous plants, what is the probability that fewer than 80 have yellow seeds ?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Pea plants contain two genes for seed color, each of which may be Y (for yellow seeds) or G (for green seeds). Plants that contain one of each type of gene are called heterozygous. According to the Mendelian theory of genetics, if two heterozygous plants are crossed, each of their offspring will have
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