Need this pyschology question answered

Need this pyschology question answered

What are your thoughts about anxiety coming from within a person (genetic theory) to prompt them to be “high strung” via nature?….is this possible? 

Gordon Allport and Raymond Cattell introduced the “Big Five” theory of personality in which they believed that all humans are born with five core personality traits that consisted of: openness, conscientiousness, extroversion, agreeableness, and neuroticism. (Mnemonics to help remember this include OCEAN or CANOE). They theorized that those born, for example, in families where neuroticism was high, that one may be more anxious by nature than those who were born into families where neuroticism was low.  

What would this mean if born into a family where one parent was low in neuroticism but the other was high in neuroticism?