A Salesperson Makes Five Calls Per Day Assume That the Population Is Binomially Distributed with a Probability

question 3

Essay

A salesperson makes five calls per day. A sample of 200 days gives the frequencies of sales volumes listed below: $$\begin{array} { | c | c | } \hline \text { Number of sales } & \text { Observed frequency (days) } \\\hline 0 & 10 \\\hline 1 & 38 \\\hline 2 & 69 \\\hline 3 & 63 \\\hline 4 & 18 \\\hline 5 & 2 \\\hline\end{array}$$ Assume that the population is binomially distributed with a probability of purchase p = 0.50.
Compute the expected frequencies for x = 0, 1, 2, 3, 4 and 5 by using the binomial probability function or the binomial tables. Combine categories if necessary to satisfy the rule of five.

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Definitions:

Incomplete Dominance

A genetic phenomenon in which neither allele is dominant over the other, resulting in a phenotype that is a blend of both alleles.

Recessive Gene

A gene that expresses its traits only when paired with an identical gene, as opposed to a dominant gene's traits which can manifest with only one copy.

Heterozygous Pair

A genetic condition where an individual has two different alleles of a particular gene, one inherited from each parent.

Down Syndrome

A genetic disorder caused by the presence of an extra 21st chromosome, leading to developmental and physical characteristic differences.