Step by step help with TI 84

IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. LetX= IQof an individual.

• Part (a)
• Give the distribution ofX.
• X~,
• Part (b)
• Find the probability that the person has an IQ greater than105.
• Write the probability statement.
• P
• What is the probability? (Round your answer to four decimal places.)
• Sketch the graph.
• Part (c)
• Mensa is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the Mensa organization.
• Write the probability statement.
• P(X>x) =
• What is the minimum IQ? (Round your answer to the nearest whole number.)
• x=
• Sketch the graph.
• Part (d)
• The middle40%of IQs fall between what two values?
• Write the probability statement.
• P(x₁<X<x₂) =
• State the two values. (Round your answers to the nearest whole number.)x₁=x₂=
• Sketch the graph.