Q2. A random variable X takes values between –2 and 2 with a probability density function х -2

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Q2. A random variable X takes values between –2 and 2 with a probability density function х -2

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Q2. A random variable X takes values between –2 and 2 with a probability density function х -2<x<0 f(x)= 64' 2+cx, 0<x<2 (a) Find the value of c and sketch the probability density function, hence determine P(X< 1) (b) Construct and sketch the cumulative distribution function. (c) Find the interquartile range of X. Also, find the limits within which central 50% observations lie.
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