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According to a government study, the average monthly household income in Singapore is $12,235 in 2020. Assume that the distribution of the monthly household income

According to a government study, the average monthly household income in Singapore is $12,235 in 2020. Assume that the distribution of the monthly household income follows the normal distribution with a standard deviation of $5,600.

  1. What percent of households have a monthly income less than $14,000 in 2020?
  2. What percent of households have a monthly income between $5,000 and $10,000 in 2020?
  3. 13% of households have a monthly income less than V dollars in 2020, report the value of V?
  4. If 10 households were randomly selected in Singapore in 2020, what is the likelihood that the average monthly income of the 10 selected households is more than $10,000?

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