Let and be independent random variables representing the lifetime (in 100 hours) of type a and type b light bulbs, respectively. both variables have exponential distributions, and the mean of x is 2 and the mean of y is 3.

find the joint pdf f(x|y) of x and y.
find the conditional pdf f_2(y|x) of y given x = x.
find the probability that a type a bulb lasts at least 300 hours and a type b bulb lasts at least 400 hours.
given that a type b bulb fails at 300 hours, find the probability that a type a bulb lasts longer than 300 hours.
what is the expected total lifetime of two type a bulbs and one type b bulb?
what is the variance of the total lifetime of two type a bulbs and one type b bulb?

u rich

step-by-step explanation:

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.