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Genetics says that children receive genes from each of their parents independently. Each child of a particular pair of parents has a probability 0.25 of having type O blood. Suppose these parents have five children. Let X be the number of children with type O blood. a. Is this experiment a binomial setting? explain b. Find the probability that exactly four of the children have type O blood. c. Find the probability that at least one child has type O blood. d. Find the expected value (the mean) and the standard deviation of random variable x.



Answer :

This experiment is a binomial setting, Genetics says that children receive genes from each of their parents independently. Each child of a particular pair of parents has a probability 0.25 of having type O blood.

Your chromosomes store your genes, which are the building blocks of your body. This blueprint is present in nearly every cell in the human body and is typically kept in the nucleus, an unique sac located inside the cell. Long strands of a substance called deoxyribonucleic acid make up chromosomes (DNA). A ladder with twists is how a DNA strand looks. Genes resemble a string of letters that has been stretched out on either side. These letters serve as a kind of roadmap. Each gene's letter arrangement contains instructions for making particular chemicals. Even though each gene is present in each cell in two copies, just a portion of these genes need to be active for each cell to perform its particular functions. Genes that are not required are disabled. Sometimes a gene's instructions are thrown off by a change in the gene. Gene alterations can occur naturally or through inheritance (with no known cause). Modifications to the coding that enables a gene to function can cause a variety of diseases.

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