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This Exercise Is Based on the Following Information, Gathered from Student

question 43

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This exercise is based on the following information, gathered from student testing of a statistical software package called MODSTAT. Students were asked to complete certain tasks using the software, without any instructions. The results were as follows. (Assume that the time for each task is normally distributed.) It can be shown that if X and Y are independent normal random variables with means μX\mu _ { X } and μy\mu _ { y } and standard deviations σX\sigma _ { X } and σy\sigma _ { y } respectively, then their sum X+YX + Y is also normally distributed and has mean μ=μX+μY\mu = \mu _ { X } + \mu _ { Y } and standard deviation σ=σ2X+σ2Y\sigma = \sqrt { \sigma ^ { 2 } X + \sigma ^ { 2 } Y } . Assuming that the time it takes a student to complete each task is independent of the others, find the probability that a student will take at least 20 minutes to complete both Tasks 3 and 4. Round your answer to four decimal places.  Task  Mean Time  (minutes)   Standard  Deviation  Task 1: Descriptive Analysis of Data 11.45.0 Task 2: Standardizing Scores 11.99.0 Task 3: Poisson Probability Table 7.54.1 Task 4: Areas Under Normal Curve 9.55.9\begin{array} { | l | l | l | } \hline \text { Task } & \begin{array} { l } \text { Mean Time } \\\text { (minutes) }\end{array} & \begin{array} { l } \text { Standard } \\\text { Deviation }\end{array} \\\hline \text { Task 1: Descriptive Analysis of Data } & 11.4 & 5.0 \\\hline \text { Task 2: Standardizing Scores } & 11.9 & 9.0 \\\hline \text { Task 3: Poisson Probability Table } & 7.5 & 4.1 \\\hline \text { Task 4: Areas Under Normal Curve } & 9.5 & 5.9 \\\hline\end{array}

Understand the concept of the facial feedback effect and behavior feedback effect.
Recognize the role of cultural differences in interpreting emotions and gestures.
Identify the evolutionary perspective on the expression and communication of emotions.
Distinguish between different perspectives on human motivation and needs.

Definitions:

Hereditary Material

Genetic information passed down from parents to offspring, primarily contained within DNA.

Recessive Genes

Genetic variants that are expressed in an organism's phenotype only when two copies of the gene are present, but not when a dominant gene is present.

Histones

Proteins found in eukaryotic cell nuclei that package and order the DNA into structural units called nucleosomes, playing a critical role in gene regulation.

Neuroplasticity

The malleability of the human brain, its capacity to change and grow especially in response to new environmental input. Includes the capacity of neurons to shift functions to compensate for damage to other cells or because they have been transplanted to a different part of the brain.

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