1. 5 EA-18G Growlers have been sent to support a 5-hour strike mission. Each Growler has twoF414 engines. An engine consists of 6 modules. The MTBFs of the modules are listed in the table below. Assume thatthe failure times are exponentially distributed; failures occur independently. If one of the modules fails the engine is not operational. If at least one engine functions, the aircraft can fly. Find the probability that all 5 Growlers will return to the home base.

module	MTBF
Compressor	1,000
Fan	1,000
HPT (high pressure turbine)	1,000
LPT (low pressure turbine)	2,000
Combustor	2,000
Afterburner	2,000