6) The principle of redundancy is used when system reliability is improved throu

Question

6) The principle of redundancy is used when system reliability is improved through redundant or backup components. A region's government requires that commercial aircraft used for flying in hazardous conditions must have two independent radios instead of one. Assume that for a typical flight, the probability of a radio failure is

0.003.

What is the probability that a particular flight will be threatened with the failure of both radios?

7)Assume that a company hires employees on Mondays,Tuesdays or Wednesdays equal likelihood. Complete parts (a) through (c) below

a. If two different employees are randomly selected, what is the probability that they were both hired on a Wednesday?

(Type an integer or a simplified fraction.)

b. If two different employees are randomly selected, what is the probability that they were both hired on the same

day of the week?

(Type an integer or a simplified fraction.)

c. What is the probability that 8 people in the same department were all hired on the same day of the week?

(Type an integer or a simplified fraction.)

Part C

Is such an event unlikely?

A.Yes,because the probability that all 8 people were hired on the same day of the week nothing is greater than 0.05.

B.No,because the probability that all 8 people were hired on the same day of the week nothing is greater than0.05.

C.Yes because the probability that all 8 people were hired on the same day of the week nothing is less than or equal to 0.05.

D.No because the probability that all 8 people were hired on the same day of the week nothing is less than or equal to 0.05.

Explanation / Answer

6) P(failure of both radios) = 0.0032 = 0.000009

7) a) P(hiring on wednesday) = 1/3

P(when two are selected, both were hired on a Wednesday) = (1/3)2 = 1/3

b) P(hired on same day of the week) = 3 x 1/9 = 1/3

c) P(8 people hired on the same day of the week) = 3 x (1/3)8 = 1/2187 = 0.00046

PART C

C.Yes because the probability that all 8 people were hired on the same day of the week nothing is less than or equal to 0.05.

Related Questions

Navigate

• Browse (All)
• Browse 6
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.