1 ) A random variable X follows the continuous uniform distribution with a lower bound of 6 and an upper bound of 9 a What is the height of the density function f(x) (Round your answer to4 decimal places ) f(x) b What are the mean and the standard deviation for the distribution (Round your answers to 2 decimal places ) Mean Standard Deviation c Calculate P ( X 3) (Round intermediate calculations toat least 4 decimal places and final answer to 4 decimal places ) P(X 7) (Round z value to 2 decimal places and final answer to 4 decimal places ) P(X 7) c Find P (4 X 16) (Round z value to 2 decimal places and final answer to 4 decimal places ) P(4 X 16) d Find P (10 X 22) (Round z value to 2 decimal places and final answer to 4 decimal places ) P(10 X 22)

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Question: 1.) A random variable X follows the continuous uniform distribution with a lower bound of 6 and an upper bound of 9. a. What is

1.) A random variableXfollows the continuous uniform distribution with a lower bound of 6 and an upper bound of 9. a.What is the height of the density functionf(x)?(Round your answer to4 decimal places.) f(x)

b.What are the mean and the standard deviation for the distribution?(Round your answers to 2 decimal places.)

Mean
Standard Deviation

c.CalculateP(X 3).(Round intermediate calculations toat least 4 decimal places and final answer to 4 decimal places.)

P(X<=-3)

2.) LetXbe normally distributed with mean= 16 and standard deviation= 12.[You may find it useful to reference thez table.]

a.FindP(X 1).(Round "z" valueto 2 decimal places and final answer to 4 decimal places.) P(X< =1)

b.FindP(X> 7).(Round "z" value to 2 decimal places and final answer to 4 decimal places.) P(X>7)

c.FindP(4 X 16).(Round "z" value to 2 decimal places and final answer to 4 decimal places.) P(4 < = X < = 16)

d.FindP(10X22).(Round "z" value to 2 decimal places and final answer to 4 decimal places.) P(10 < = X < = 22)

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