Question

Determine the average time to repair a faulty computer if the chance that a faulty computer is repaired in 5 hours is 30% of the probability that a faulty computer will be repaired after 2 hours. On average, a certain computer part lasts ten years. The length of time the computer part lasts is exponentially distributed. a) What is the probability that a computer part lasts more than 7 years? b) On average, how long would five computer parts last if they are used one after another? c) Eighty percent of computer parts last at most how long? d) What is the probability that a computer part lasts between nine and 11 years? 3. The time spent waiting between events is often modeled using the exponential distribution. For example, suppose that an average of 30 customers per hour arrive at a store and the time between arrivals is exponentially distributed. (a) On average, how many minutes elapse between two successive arrivals? (b) When the store first opens, how long on average does it take for three customers to arrive? (c) After a customer arrives, find the probability that it takes less than one minute for the next customer to arrive. (d) After a customer arrives, find the probability that it takes more than five minutes for the next customer to arrive. (e) Seventy percent of the customers arrive within how many minutes of the previous customer?

          Determine the average time to repair a faulty computer if the
chance that a faulty computer is repaired in 5 hours is 30% of the
probability that a faulty computer will be repaired after 2
hours.
On average, a certain computer part lasts ten years. The length
of time the computer part lasts is exponentially distributed.
a) What is the probability that a
computer part lasts more than 7 years?
b) On average, how long would five
computer parts last if they are used one after another?
c) Eighty percent of computer parts
last at most how long?
d) What is the probability that a
computer part lasts between nine and 11 years?
3. The time spent waiting between
events is often modeled using the exponential distribution. For
example, suppose that an average of 30 customers per hour arrive at
a store and the time between arrivals is exponentially
distributed.
(a) On average, how many minutes
elapse between two successive arrivals?
(b) When the store first opens, how
long on average does it take for three customers to arrive?
(c) After a customer arrives, find the
probability that it takes less than one minute for the next
customer to arrive.
(d) After a customer arrives, find the
probability that it takes more than five minutes for the next
customer to arrive.
(e) Seventy percent of the customers
arrive within how many minutes of the previous customer?

Added by Joseph B.

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