|A 3 The continuous random variable X has probability density function given by fx(x) = c(1 - x*), -Isxs1, where c is a suitable constant. i. Show that e = % and plot the graph of fx(x) against x. ii. Show that the cumulative distribution function of X is given by x <-1 2+3x-x3 Fx(x) = -1 sxs1 4 1 x > 1 Also find P (-sxs). iii. Obtain the standard deviation of X, to 3 significant figures.

Prob-2 The diameter of metal cylinder has a probability density function of f(x)=1.5-6(x-50.0)² [mm] 500 metal cylinders delivered to engine assembely plant... How many cylinders' diameters, D< 50.0 mm ? Sol:

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A random variable has probability density function f(x) = 30x (1 - x) <(0 < xs 1). Compute its cumulative distribution F(x). O 10x3- 15x4 + 6x5 + 1 O 30x(1 - x) O 30x2 - 60x3 + 30x4 O 10x3 - 15x4 + 6x5 O none of these A Moving to the next question prevents changes to this answer. to search 63°F S End F10 Home %23 PrtScn F8 F2 F3 F4 F5 F6 F7 F9 近