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A Middle Manager Is an Avid Runner and Keeps an Informal

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Essay

A middle manager is an avid runner and keeps an informal diary of her daily 5-mile training runs.Most of the time,she spends 10 minutes or more stretching before running,believing that this will help prevent minor muscle injuries.In fact,she estimates that 64% of days over the last year,she has stretched and avoided any muscle problems,that is,the relevant joint probability is Pr(Stretch & Healthy)= 0.64.
(a)Is she correct in concluding that there is a positive association between stretching and being injury free? Now suppose she does some additional thinking and recalls many days when she hadn't bothered to stretch and fortunately still avoided any muscle pulls.Her guess is that Pr(No Stretch & Healthy)= 0.20.Determine Pr(Stretch|Healthy).Does this indicate that stretching reduces the risk of injury?


Definitions:

Dopamine Activity

Refers to the functions and effects of dopamine, a neurotransmitter that influences mood, motivation, and motor control among other functions.

Schizophrenic Symptoms

Manifestations associated with schizophrenia, including hallucinations, delusions, disorganized speech, and impaired social or occupational functioning.

L-dopa

L-dopa is a medication used primarily for the treatment of Parkinson's disease, acting to increase dopamine levels in the brain and alleviate symptoms.

Dopamine Antagonist

A type of medication that blocks dopamine receptors, often used to treat neurological and psychiatric disorders.

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