Question

A particular system in a space vehicle must work properly in order for it to gain reentry into the earth’s atmosphere. One component of the system operates successfully only 85% of the time. To increase the reliability of the system, four of the components are installed in such a way that the system will operate successfully if at least one component is working. What is the probability that the system will fail? Assume the components operate independently.

Answer 1

.00050625

Step-by-step explanation:

If p be the probability of success , q be probability of failure

p = .85 , q = .15

Probability of all failure

= (.15)⁴

= .00050625

Probability of at least one success

= 1 - .00050625

= .99949375

Answer is

.00050625