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From Past Experience, It Is Known 90% of One-Year-Old Children

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Short Answer

From past experience, it is known 90% of one-year-old children can distinguish their mother's voice from the voice of a similar sounding female. A random sample of 20 one-year-olds are given this voice recognition test.
Find the probability at least 3 children do not recognize their mother's voice.
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Find the probability all 20 children recognize their mother's voice.
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Let the random variable x denote the number of children who do not recognize their mother's voice. Find the mean of x.
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Let the random variable x denote the number of children who do not recognize their mother's voice. Find the variance of x.
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Find the probability that at most 4 children do not recognize their mother's voice.
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Definitions:

Social Distance

The perceived or desired level of emotional or physical space between individuals or within social groups.

Intercultural Contact

Interaction between individuals from different cultures, leading to an exchange of values, ideas, and traditions.

Relative Deprivation

The experience of feeling deprived of something to which one believes they are entitled, compared to others or their own expectations.

Acculturation

The process whereby individuals learn about the rules of behavior characteristic of another culture.

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