O-rings. Failures of O-rings on the space shuttle are fairly rare, but often disastrous, events. If we are testing O-rings, suppose that the probability of a failure of any one O-ring is 0.01. Let X...

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O-rings. Failures of O-rings on the space shuttle are fairly rare, but often disastrous, events. If we are testing O-rings, suppose that the probability of a failure of any one O-ring is 0.01. Let X be the number of failures in the next 10 O-rings tested.

a) What model might you use to model X?

b) What is the mean number of failures in the next 10 O-rings?

c) What is the probability that there is exactly one failure in the next 10 O-rings?

d) What is the probability that there is at least one failure in the next 10 O-rings?

Answered Same DayDec 25, 2021

Answer To: O-rings. Failures of O-rings on the space shuttle are fairly rare, but often disastrous, events. If...

Robert answered on Dec 25 2021

122 Votes

transtutors.com/questions/-2142497.htm
in
a)
Let X denote number of failures in n = 10 independent O-rings, where each has
a probability p = 0.01
We denote this by:
X ∼ Binomial(n = 10, p = 0.01)
Binomial with p = 0.01,n = 10
b)
n = 10, p = 0.01
Expected value of X, Mean = µ = np = 10 ∗ 0.01 = 0.1
Expectation or mean is: µ = 0.1
C P (X = 3), n = 10, p = 0.01
X ∼ Binomial(n = 10, p = 0.01)
P (X = 3)...

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O-rings. Failures of O-rings on the space shuttle are fairly rare, but often disastrous, events. If we are testing O-rings, suppose that the probability of a failure of any one O-ring is 0.01. Let X...

Answer To: O-rings. Failures of O-rings on the space shuttle are fairly rare, but often disastrous, events. If...

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