For about $1 billion in new space shuttle expenditures, NASA has proposed to install new heat pumps, power heads, heat exchangers, and combustion chambers. These will lower the mission catastrophe probability to 1 in 120. Assume that these changes are made. Calculate the probability of one or more catastrophes in the next: (1) two missionsprobablility = (2) five missionsprobablility = (3) ten missionsprobablility = (4) fifty missionsprobablility=

Question

Brie

Mathematics

28 January, 14:51

For about $1 billion in new space shuttle expenditures, NASA has proposed to install new heat pumps, power heads, heat exchangers, and combustion chambers. These will lower the mission catastrophe probability to 1 in 120. Assume that these changes are made. Calculate the probability of one or more catastrophes in the next: (1) two missionsprobablility = (2) five missionsprobablility = (3) ten missionsprobablility = (4) fifty missionsprobablility=

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Bennett · Answer 1

(1) 0.016597

(2) 0.040978

(3) 0.080277

(4) 0.341909

Step-by-step explanation:

1) probability of one or more catastrophes in the next: two missions = 1-P (no catastrophes) = 1 - (119/120) 2 = 0.016597

2) probability of one or more catastrophes in the next five missions = 1 - (119/120) 5 = 0.040978

3) probability of one or more catastrophes in the next ten missions = 1 - (119/120) 10 = 0.080277

4) probability of one or more catastrophes in the next fifty missions = 1 - (119/120) 50 = 0.341909