Question

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=

Answer 1

Answer:

(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