Question
Production records indicate that 2.1% of the light bulbs produced in a facility are defective. A...
Production records indicate that 2.1% of the light bulbs produced in a facility are defective. A random sample of 35 light bulbs was selected. a. Use the binomial distribution to determine the probability that fewer than three defective bulbs are found.
b. Use the Poisson approximation to the binomial distribution to determine the probability that fewer than three defective bulbs are found.
c. How do these two probabilities compare?
Homework Answers
Answer #1
Not the answer you're looking for?
Similar Questions
Production records indicate that 2.1% of the light bulbs produced in a facility are defective. A...
Production records indicate that 2.1% of the light bulbs
produced in a facility are defective. A random sample of 35 light
bulbs was selected.
a. Use the binomial distribution to determine the probability
that fewer than three defective bulbs are found.
b. Use the Poisson approximation to the binomial distribution to
determine the probability that fewer than three defective bulbs are
found.
c. How do these two probabilities compare?
Production records indicate that 3.2% of the light bulbs produced in a facility are defective. A...
Production records indicate that 3.2% of the light bulbs
produced in a facility are defective. A random sample of 25 light
bulbs was selected. a. Use the binomial distribution to determine
the probability that fewer than three defective bulbs are found. b.
Use the Poisson approximation to the binomial distribution to
determine the probability that fewer than three defective bulbs are
found. c. How do these two probabilities compare?
Q2) Consider a Poisson probability distribution with λ=4.9. Determine the following probabilities. a) exactly 5 occurrences...
Q2) Consider a Poisson probability
distribution with λ=4.9. Determine the following probabilities.
a) exactly 5 occurrences
b) more than 6 occurrences
c) 3 or fewer occurrences
Q3) Consider a Poisson probability
distribution. Determine the probability of exactly six occurrences
for the following conditions.
a) λ=2.0
b) λ=3.0
c) λ=4.0
d) What conclusions can be made about how these probabilities
change with λ?
Q4) A particular intersection in a small town
is equipped with a surveillance camera. The number of traffic...
Records show that 15% of imported components used to manufacture light bulbs are defective. For a...
Records show that 15% of imported components used to manufacture
light bulbs are defective. For a sample of five randomly
selected-components, calculate the probability that exactly two are
defective.
It is estimated that 2.1% of the quartz heaters produced in a certain plant are defective....
It is estimated that
2.1%
of the quartz heaters produced in a certain plant are defective.
Suppose the plant produced 12,000
such heaters last month. Find the probabilities that among
these heaters, the following numbers were defective.
(a) Fewer than 239
The probability that fewer than 239 parts are defective is
(Round to four decimal places as needed.)
(b) More than 263
The probability more than 263 are defective is
(Round to four decimal places as needed.)
in the mass production of bolts it is found that 5% are defective. bolts are selected...
in the mass production of bolts it is found that 5% are
defective. bolts are selected at random and put into packets of
10.
a. if a packet is selected at random ,find the probability that
it will contain
three defective bolts
less than three defective bolts
b. two packets are selected at random . find the probability
that there are no defective bolts in either packet
(SOLVE USING BINOMIAL DISTRIBUTION )
Two percent of hairdryers produced in a certain plant are defective. Estimate the probability that of...
Two percent of hairdryers produced in a certain plant are
defective. Estimate the probability that of 10,000 randomly
selected hair dryers, exactly 225 are defective. (Hint: use the
normal distribution as an approximation to the binomial
distribution).
A package contains 4 light bulbs. The following table gives the probability distribution (pdf) of the...
A package contains 4 light bulbs. The following table gives the
probability distribution (pdf) of the number of broken bulbs in the
package. A random package is selected. Use the table to answer the
following questions:
pdf for DRV
X
0
1
2
3
4
p(x)
0.66
0.20
?
0.05
0.02
What is the probability that there are exactly 2 defective
bulbs in a package?
What is the probability that there are at most 2 defective
bulbs in a package?...
A simple random sample of 105 analog circuits is obtained at random from an ongoing production...
A simple random sample of 105 analog circuits is obtained at
random from an ongoing production process in which 30% of all
circuits produced are defective.
Let ?X be a binomial random variable corresponding to the number
of defective circuits in the sample. Use the normal approximation
to the binomial distribution to compute ?(26≤?≤36) , the
probability that between 26 and 36 circuits in the sample are
defective.
Report your answer to two decimal places of precision.
?(26≤?≤36)=
an electronics company finishes a production run of 5000 tablet computers, which includes 900 defective units....
an electronics company finishes a production run of 5000 tablet
computers, which includes 900 defective units. To test this batch
for defects, a random sample of 100 tablets is drawn (without
replacement) and tested. Let X be the random variable that counts
the number of defective units among the sample.
a. find the expected (mean) value, variance, and standard
deviation of X
b. the probability distribution of X can be approximated with a
binomial distribution. Why?
c. Use the binomial...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 2 minutes ago
asked 10 minutes ago
asked 21 minutes ago
asked 33 minutes ago
asked 43 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 2 hours ago