1.

If a random variable waiting time in minutes for bus and probability density function of x is given by `f(x)={{:(1/5","0lexle5),(0",""otherwise"):}` Then probability of waiting time not more than 4 minutes is equal toA. 0.3B. 0.8C. 0.2D. 0.5

Answer» Correct Answer - B
Given, `f(x)={{:(,(1)/(5), 0 le x le 4),(,0,"otherwise"):}`
`therefore P(0 le x le 4)=underset(0)overset(4)f(x)dx=underset(0)overset(1) dx=(1)/(5)[x]_(0)^(4)`
`=(1)/(5)(4-0)=(4)/(5)=0.8`


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