The Heights of 9-Year-Old Children Are Normally Distributed, with a Mean

question 28

Short Answer

The heights of 9-year-old children are normally distributed, with a mean of 123 cm and a standard deviation of 10 cm.
a. Find the probability that one randomly selected 9-year-old child is taller than 125 cm.
b. Find the probability that three randomly selected 9-year-old children are taller than 125 cm.
c. Find the probability that the mean height of three randomly selected 9-year-old children is greater than 125 cm.

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Definitions:

Lemons

A citrus fruit with a bright yellow color and sour taste, often used in cooking and beverages.

Plums

A type of fruit that belongs to the genus Prunus, known for their sweet taste and juicy texture, often consumed fresh, dried, or in various culinary dishes.

Expected Value

The anticipated value for a given investment or decision in probability and statistics, calculated as the sum of all possible values each multiplied by the probability of occurrence.

Risk Trading

The act of exchanging financial instruments or commodities with a variable level of risk, often in the hope of gaining a higher return.