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

question 137

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 not 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:

Yolk Sac

An extra-embryonic membrane in early embryonic development that provides nutrition to the developing embryo.

Prostate Gland

A gland in males located below the bladder surrounding the urethra, secreting fluid that is a component of semen.

Spermatic Cord

A bundle of fibers and tissues passing through the abdominal wall and into the testes, involved in blood supply, waste removal, and sperm delivery.

Ductus Deferens

The ductus deferens, also known as the vas deferens, is a tube that carries sperm from the testes to the urethra, serving as a key component of the male reproductive system.