Construct Probability Histograms
-A Seed Company Has a Test Plot $x$

question 76

Multiple Choice

Construct Probability Histograms
-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 $\mathrm { P } ( \mathrm { x } )$ represents the probability of selecting a row with that number of seed germinating. Determine the mean 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) \(36.9\)
• B) \(36.5\)
• C) 36
• D) \(0.13\)

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Definitions:

Insight

The capacity to gain an accurate and deep understanding of a problem or situation suddenly, often leading to a solution.

Reinforcement

A concept in behaviorism that involves increasing the likelihood of a behavior's occurrence through the administration of rewards or punishments.

Operant Conditioning

Operant conditioning is a learning process through which the strength of a behavior is modified by reinforcement or punishment.

Classical Conditioning

Pavlovian Conditioning, an associative learning process through which an animal or human learns to link two stimuli, with one stimulus coming to evoke a response originally evoked by the other.