Quiz: Chapter 7 QUIZ: The Normal and Other Continuous This Question:3 pts This Q

Question

Quiz: Chapter 7 QUIZ: The Normal and Other Continuous This Question:3 pts This Quiz: 2 ps passible Quesiun Help o, they muzt be unpscked, acmbied, andtncd shop manager, creotes modzi of how long thismay taloe phas are independent en phase tolo-S Normal "np6.king 0.5 Assaly 38 22 odel, and the meas and slanderd devistione ofthe shown in tha tabla Complate parts Tuning 39 25 bJA cus omer decides to bu ne af the dspl r models but-art" different color. The stop has ona s lin ne tox e managerss t ey can hsve t ready in ha an hour. Do ou tink he b e wil be set up and read, o as promised? plain. A. N, pnobahlhy that tha k ha raady in hat an houra

Explanation / Answer

Solution:-
a) Let T = W + X + Y, i.e. the total setup time.
Then E(T) = E(W) + E(X) + E(Y) = 4.8 + 23.8 + 13.9 = 42.5

Var(T) = Var(W) + Var(X) + Var(Y) = 11.73,
which will give a standard deviation of sqrt(11.73) = 3.42

b) P(T <= 30) = P(Z < (30-42.5)/3.42) = 0.0001

option A. NO, the probability that the bike will be ready in half an hour is 0.0001

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