Purchase Solution

# Binomial distribution: US Space Shuttle reliability

Not what you're looking for?

Many vehicles used in space travel are constructed with redundant systems to protect the flight crew and their equipment. In other words, backup systems are included with 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 US space shuttle that has n duplicated systems (ie. one original system and n - 1 backup systems). Each of these systems functions independently of the others, with probability of 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.

##### Solution Summary

The solution calculates the probability that the shuttle component functions successfully using Binomial distribution.

##### Solution Preview

Many vehicles used in space travel are constructed with redundant systems to protect the flight crew and their equipment. In other words, backup systems are included with many vehicle components so that if one or more systems fail, backup systems will assure the safe operation of the given components and thus the entire vehicle.

For example, consider one particular component of the US space shuttle that has n duplicated systems (ie. one original system and n - 1 backup systems). Each of these systems ...

##### Free BrainMass Quizzes

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.