Question Tag: Continuous Variables

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QT – Nov 2018 – L1 – Q5b – Probability

Solve normal distribution problems related to spending habits of residents in Kojokrom.

In a study commissioned by Ofo Stores, the researcher examined the spending habits of the residents of Kojokrom. He found the spending habits to be normally distributed with a mean of GH¢700 and a standard deviation of GH¢70.

Required:
i) Determine the probability that a resident selected at random spends:

  • Less than GH¢620 (3 marks)
  • More than GH¢1,000 (3 marks)
  • Between GH¢800 and GH¢900 (4 marks)

ii) Calculate the amount:

  • Above which 80% of the residents will spend in a week (2 marks)
  • Below which 30% of the residents will spend in a week (2 marks)

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QT – Nov 2018 – L1 – Q5a – Probability

Define properties of normal distribution and examples of phenomena that follow it.

The normal distribution is a probability distribution which usually applies to continuous variables.

Required:

i) State FOUR (4) properties of the Normal Distribution. (4 marks)

ii) State TWO (2) examples of phenomena which closely follow a Normal Distribution. (2 marks)

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QT – Nov 2018 – L1 – Q5b – Probability

Solve normal distribution problems related to spending habits of residents in Kojokrom.

In a study commissioned by Ofo Stores, the researcher examined the spending habits of the residents of Kojokrom. He found the spending habits to be normally distributed with a mean of GH¢700 and a standard deviation of GH¢70.

Required:
i) Determine the probability that a resident selected at random spends:

  • Less than GH¢620 (3 marks)
  • More than GH¢1,000 (3 marks)
  • Between GH¢800 and GH¢900 (4 marks)

ii) Calculate the amount:

  • Above which 80% of the residents will spend in a week (2 marks)
  • Below which 30% of the residents will spend in a week (2 marks)

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You're reporting an error for "QT – Nov 2018 – L1 – Q5b – Probability"

QT – Nov 2018 – L1 – Q5a – Probability

Define properties of normal distribution and examples of phenomena that follow it.

The normal distribution is a probability distribution which usually applies to continuous variables.

Required:

i) State FOUR (4) properties of the Normal Distribution. (4 marks)

ii) State TWO (2) examples of phenomena which closely follow a Normal Distribution. (2 marks)

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