[4G-07] Three individuals are completing a given task. The completion time for each individual is exponential random variable with mean 7, and is independent of one another. Find the probability that the first person to complete the task will do so in less than 5 minutes. (Use 4 decimals)

P(X≤5) = 0.5105 (Approx)

Step-by-step explanation:

Assume, x = completion time of given task

Mean u = 7

So,

λ = 1/u = 1/7

So,

x ↔ exp(λ)

f(x) = P(X≤x) =

P(X≤5) =

P(X≤5) = 0.5105 (Approx)

1; 35 is the ratio

step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: