One Classic Use of the Normal Distribution Is Inspired by a Letter

question 15

Multiple Choice

One classic use of the normal distribution is inspired by a letter to Dear Abbey in which a wife claimed to have given birth 308 days after a brief visit from her husband, who was serving in the Navy. The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. Given this information. (i) the probability of a pregnancy lasting 300 days or longer is 0.0166.
(ii. The result suggests that the husband is the father of the child.

• A) (i) and (ii) are correct statements.
• B) (i) is a correct statement but not (ii).
• C) (ii) is a correct statement but not (i).
• D) (i) and (ii) are false statements.

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Definitions:

Parent-Child Attachments

The deep emotional bond that develops between a child and their primary caregiver, which significantly affects the child's development and ability to form relationships.

Eccentricity

The quality of being unconventional or slightly strange in behavior or appearance.

Schizotypal

A personality disorder characterized by severe social anxiety, thought disorder, paranoid ideation, derealization, transient psychosis, and often unconventional beliefs.

Paranoid Personality

A mental health condition characterized by a pervasive distrust and suspicion of others' motives.