Question
It is known that screws produced by a certain company will be defective with probability 0.0 5 independently of each other. The company sells the
It is known that screws produced by a certain company will be defective with probability 0.0
5
independently of each other. The company sells the screws in packages of
n=
10. What is the
probability that
(a)
1
of 10 screws is defective;
(b)
at
least
2
of 10 screws are
defective?
(c)
anywhere from
2
to
7
, inclusive, will be defective
if n is
changed to n=
12, 13, 14, and 15
.
You must c
omplete Excel/Matlab programming statements
for
n=
12, 13, 14, and 15
.
2.
If
8
of 1
9
tires
are defective, what is the probability that an inspector, who randomly select
n=
5
of
tires
for inspection
without replacement
, will find
(a)
none
of
tires
is
defective;
(b) two of the
tires
are defective;
(c) at
most two
of the
tires
are defective?
(d) at least three of the
tires
are
defective if n= 6, 7,
8
,
and 9
tires
are selected for inspection?
You
must complete Excel/
Matlab programming
statements
for this part.
3
.
If on the average there are
4
accidents per week on a given expressway, find
(a)
the probability that at
most
n=
10
accidents will occur per month
.
(b) the p
robability that at
leas
t n= 11,12,13,14,15,16, and 17
accidents will occur per month. You
must show the Excel/Matlab programming statements for the answers.
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