Compute the Variance and Standard Deviation of a Discrete Random

question 64

Multiple Choice

Compute the Variance and Standard Deviation of a Discrete Random Variable
-A seed company has a test plot in which it is testing the germination of a hybrid seed. They plant 50 rows of 40 seeds per row. After a two-week period, the researchers count how many seed per row have sprouted. They noted that least number of seeds to germinate was 33 and some rows had all 40 germinate. The germination data is given below in the table. The random variable x represents the number of seed in a row that germinated and P(x) represents the probability of selecting a row with that number of seed germinating. Determine the standard deviation of the number of seeds per row that germinated. $\begin{array}{|c|c|c|c|c|c|c|c|c|}\hline x & 33 & 34 & 35 & 36 & 37 & 38 & 39 & 40 \\\hline P(x) & 0.02 & 0.06 & 0.10 & 0.20 & 0.24 & 0.26 & 0.10 & 0.02 \\\hline\end{array}$

• A) \(1.51\)
• B) \(7.13\)
• C) \(36.86\)
• D) \(6.07\)

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Definitions:

Hot Spot

An area of volcanic activity believed to be fueled by a section of the mantle beneath it that is significantly hotter than the mantle surrounding it.

Bonneville Salt Flats

A vast salt flat located in Utah, USA, known for its flat, expansive landscapes and as a site for land speed record attempts.

Terrane

A fragment of crustal material formed on, or broken off from, one tectonic plate and accreted or sutured to crust lying on another plate.

Subduction Zone

A region where subduction takes place, characterized by deep ocean trenches and volcanic activity.