A light fixture contains five lightbulbs. The lifetime of each bulb is exponentially distributed with mean 200 hours. Whenever a bulb burns out, it is replaced. Let T be the time of the first bulb replacement. Let Xi , i = 1,..., 5, be the lifetimes of the five bulbs. Assume the lifetimes of the bulbs are independent. a. Find P(X1 > 100). b. Find P(X1 > 100 and X2 > 100 and ··· and X5 > 100). c. Explain why the event T > 100 is the same as {X1 >100 and X2 >100 and ··· and X5 >100}. d. Find P(T ≤ 100). e. Let t be any positive number. Find P(T ≤ t), which is the cumulative distribution function of T . f. Does T have an exponential distribution? g. Find the mean of T . h. If there were n lightbulbs, and the lifetime of each was exponentially distributed with parameter λ, what would be the distribution of T ?

55/i dont know i do it for the points

step-by-step explanation:

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

a precentage of 6th graders. the population is all 6th graders. let me know if i'm wrong, i hope this ! : )

step-by-step explanation: