# Question: Many vehicles used in space travel are constructed with redundant

Many vehicles used in space travel are constructed with redundant systems to protect flight crews and their valuable equipment. In other words, backup systems are included within many vehicle components so that if one or more systems fail, backup systems will assure the safe operation of the given component and thus the entire vehicle. For example, consider one particular component of the U.S. space shuttle that has n duplicated systems. Each of these systems functions, independently of the others, with probability 0.98. This shuttle component functions successfully provided that at least one of the n systems functions properly.

a. Find the probability that this shuttle component functions successfully if n = 2.

b. Find the probability that this shuttle component functions successfully if n = 4.

c. What is the minimum number n of duplicated systems that must be incorporated into this shuttle component to ensure at least a 0.9999 probability of successful operation?

0

a. Find the probability that this shuttle component functions successfully if n = 2.

b. Find the probability that this shuttle component functions successfully if n = 4.

c. What is the minimum number n of duplicated systems that must be incorporated into this shuttle component to ensure at least a 0.9999 probability of successful operation?

0

## Answer to relevant Questions

Suppose that a popular hotel for vacationers in Orlando, Florida, has a total of 300 identical rooms. As many major airline companies do, this hotel has adopted an overbooking policy in an effort to maximize the usage of its ...Assume that, on average, 95% of all ticket holders’ show up for a flight. If a plane seats 200 people, how many tickets should be sold to make the chance of an overbooked flight as close as possible to 5%? Suppose you play a game at a casino where your probability of winning each game is 0.49. On each game, you bet $10, which you either win or lose. Let P(n) be the probability that you are ahead by at least $50 after n games. ...Suppose that the number of customers arriving each hour at the only checkout counter in a local pharmacy is approximately Poisson distributed with an expected arrival rate of 20 customers per hour. a. Find the probability ...Suppose the annual return on XYZ stock follows a normal distribution with mean 0.12 and standard deviation 0.30.a. What is the probability that XYZ’s value will decrease during a year?b. What is the probability that the ...Post your question