SOLUTION: 4. Suppose that 7% of the bolts produced by a machine are defective. If 10 bolts are chosen from a huge shipment and inspected, determine the probability that
a. exactly one
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Question 346629: 4. Suppose that 7% of the bolts produced by a machine are defective. If 10 bolts are chosen from a huge shipment and inspected, determine the probability that
a. exactly one bolt is defective
b. at least two bolts are defective
c. at most one bolt is defective
d. at least one bolt is defective.
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
For failures,
For failure,
For failures,
Those are the only values we need to solve the problem.
.
.
Now let's work through the problem.
a) Exactly 1 bolt failure,
.
.
b) At least bolt failures, means failures or more.
In other words, not or failures().
You know that
So then,
.
.
c)At most bolt, means or failures.
.
.
d)At least bolt failure, means not failures ().
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose that 7% of the bolts produced by a machine are defective. If 10 bolts are chosen from a huge shipment and inspected, determine the probability that
----
Binomial Problem with n=10 and p = 0.07
-----
a. exactly one bolt is defective
P(x=1) = 10C1(0.07)*(0.93)^9 = binompdf(10,0.07,1) = 0.3643
----------------------------------------------------------------
b. at least two bolts are defective
Ans: 1-binomcdf(10,0.07,1) = 0.1517
-----------------------------------------
c. at most one bolt is defective
Ans: binomcdf(10,0.07,1) = 0.8483
-----------------------------------------
d. at least one bolt is defective.
Ans: 1-binomcdf(10,0.07,0) = 0.5160
========================================
Cheers,
Stan H.
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