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"):}` T

Question

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"):}` T

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 to
A. 0.3
B. 0.8
C. 0.2
D. 0.5

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

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`

4 views Answered 2023-02-05 15:29