Question

A space vehicle has an independent backup system for one of its communication networks. The probability that either system will function satisfactorily for the duration of a flight is 0.985. What is the probability that during a given flight a) both systems function satisfactorily b) at least one system functions satisfactorily c) both systems fail?

Answer 1

Answer:

a) 0.970225

b) 0.999775

c)  0.000225

Step-by-step explanation:

probability of one system not working =1-0.985=0.015

a)

probability of one system is 0.985 then

Probability of both system = 0.985 * 0.985= 0.970225

b)

probability of one of system fail is = 1 - 0.985

                                                         =0.015

Therefore

probability of both system failing =0.015 * 0.015 =0.000225

probability at least one system function satisfactorily = 1- 0.000225

                                                                                        = 0.999775

c)

If both system are fail then probability is 0.000225