c) Answer both of the following: i) Consider a random variable X which is normally distributed with mean zero and unit variance. Using the proper statistical table, find the number z such that P(z < X < 2.64) = 0.4760. Give your answer rounded to 2 decimal places. ii) À random variable Y follows at distribution with (2n + 1) degrees of freedom, i.e. Y ~ t,n+1+ Make use of the appropriate statistical table to get the value of n knowing that P(Y 2 3.1824) = 0.025,

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c) Answer both of the following:
i) Consider a random variable X which is normally distributed with mean zero and unit
variance. Using the proper statistical table, find the number z such that
P(z < X < 2.64) = 0.4760.
Give your answer rounded to 2 decimal places.
follows at distribution with (2n + 1) degrees of freedom, i.e. Y ~ t2n+1-
ii) A random variable
Make use of the appropriate statistical table to get the value of n knowing that
P(Y 2 3.1824) = 0.025.
Transcribed Image Text:c) Answer both of the following: i) Consider a random variable X which is normally distributed with mean zero and unit variance. Using the proper statistical table, find the number z such that P(z < X < 2.64) = 0.4760. Give your answer rounded to 2 decimal places. follows at distribution with (2n + 1) degrees of freedom, i.e. Y ~ t2n+1- ii) A random variable Make use of the appropriate statistical table to get the value of n knowing that P(Y 2 3.1824) = 0.025.
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