) Find the 13.) (6 twin-engine plane at Jeast ons (1 or 2) of the engines us fun
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) Find the 13.) (6 twin-engine plane at Jeast ons (1 or 2) of the engines us function example of parallel system. Fo" “sale-of and the probability of failure of each engine is 003 Viem3sa A.) Find the probability of an unsafe flight (ie. both engine ines fait t one (1 or 2 B.) Find the probability of a safe flight, that is, the probability at less engines works. [HINT: You can apply the General Addition Rule GAR events, or you can use the Complement Rule (CR)] oints) Grading on a curve. The scores on an examination are normally 70 and standard deviation = 8 . Suppose that the instructor decide ing to the following scheme, Draw a sketch of the given normal ", probability) of students in each category below. Hint: STAN ordi GradeExplanation / Answer
It is given that the engines work independently.
thus, the probability of an unsafe flight will be = P[failure of engine 1]*P[failure of engine 2] = 0.003*0.003 = 0.000009.
Now, the probability of safe flight is = P[engine 1 is working]*P[failure of engine 2] + P[failure of engine 1]*P[engine 2 is working] + P[engine 1 is working]*P[engine 2 is working] = ( 1 - 0.003 ) * 0.003 + 0.003 * ( 1 - 0.003 ) + ( 1 - 0.003 ) *( 1 - 0.003 ) = 0.999991.
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