Question

1. For a binomial distribution, if the probability of success is 0.621 on the first trial, what is the probability of success on the second trial?

2.A company purchases shipments of machine components and uses
this acceptance sampling plan:

Randomly select and test 32 components and accept the whole batch
if there are **fewer than** 5 defectives.If a
particular shipment of thousands of components actually has a 5.5%
rate of defects, what is the probability that this whole shipment
will be accepted?

(HINT: Rephrase the question: "What is the probability that in a
sample of 32 components there are **at most** 4
defective ones?")

3.If the random variable x has a Poisson Distribution with mean
μ = 13.8, find the * maximum usual* value
for x.

**4.**In one town, the number of burglaries in a
week has a Poisson distribution with mean μ = 3.6. Let variable x
denote the number of burglaries in this town in a randomly selected
**month**. Find the * smallest
usual* value for x.

Answer #1

In one town, the number of burglaries in a week has a Poisson
distribution with mean μ = 4.5. Let variable x denote the number of
burglaries in this town in a randomly selected
month. Find the smallest
usual value for x. Round your answer to three
decimal places.
(HINT: Assume a month to be exactly 4 weeks)

Assume that a procedure yields a binomial distribution with
n=228n=228 trials and the probability of success for one trial is
p=0.29p=0.29.
Find the mean for this binomial distribution.
(Round answer to one decimal place.)
μ=μ=
Find the standard deviation for this distribution.
(Round answer to two decimal places.)
σ=σ=
Use the range rule of thumb to find the minimum usual value μ–2σ
and the maximum usual value μ+2σ.
Enter answer as an interval using square-brackets only with whole
numbers.
usual...

Assume that a procedure yields a binomial distribution with n
trials and the probability of success for one trial is p. Use the
given values of n and p to find the mean μ and standard deviation
σ. Also, use the range rule of thumb to find the minimum usual
value μ−2σ and the maximum usual value μ+2σ.
n=1405, p= 2 / 5

Assume that a procedure yields a binomial distribution with n
trials and the probability of success for one trial is p. Use the
given values of n and p to find the mean μ and standard deviation
σ. Also, use the range rule of thumb to find the minimum usual
value μ−2σ and the maximum usual value μ+2σ. Round your answer to
the nearest tenth, if necessary. In an analysis of the 1-Panel TCH
test for marijuana usage, 300 subjects...

A pharmaceutical company receives large shipments of aspirin
tablets. The acceptance sampling plan is to randomly select and
test 58 tablets, then accept the whole batch if there is only one
or none that doesn't meet the required specifications. If one
shipment of 7000 aspirin tablets actually has a 3% rate of
defects, what is the probability that this whole shipment will be
accepted? Will almost all such shipments be accepted, or will many
be rejected?
a. The probability that...

A pharmaceutical company receives large shipments of
aspirin tablets. The acceptance sampling plan is to randomly select
and test
41
tablets, then accept the whole batch if there is
only one or none that doesn't meet the required
specifications. If one shipment of
4000
aspirin tablets actually has a
5
%
rate of defects, what is the probability that this whole
shipment will be accepted? Will almost all such shipments
be accepted, or will many be rejected?
The probability that this whole shipment will be
accepted is

A pharmaceutical company receives large shipments of aspirin
tablets. The acceptance sampling plan is to randomly select and
test 60 tablets, then accept the whole batch if there is only one
or none that doesn't meet the required specifications. If one
shipment of 6000 aspirin tablets actually has a 2% rate of
defects, what is the probability that this whole shipment will be
accepted? Will almost all such shipments be accepted, or will many
be rejected?
The probability that this...

1. An automobile manufacturer has determined that 33% of all gas
tanks that were installed on its 2015 compact model are defective.
If 16 of these cars are independently sampled, what is the
probability that at least 6 of the sample need new gas tanks?
2. Use the Poisson Distribution Formula to find the indicated
probability: Last winter, the number of potholes that appeared on a
9.0-mile stretch of a particular road followed a Poisson
distribution with a mean of...

A pharmaceutical company receives large shipments of aspirin
tablets. The acceptance sampling plan is to randomly select and
test 54 tablets, then accept the whole batch if there is only one
or none that doesn't meet the required specifications. If one
shipment of 4000 aspirin tablets actually has a 3% rate of
defects, what is the probability that this whole shipment will be
accepted? Will almost all such shipments be accepted, or will many
be rejected?
The probability that this...

A pharmaceutical company receives large shipments of aspirin
tablets. The acceptance sampling plan is to randomly select and
test 40 tablets, then accept the whole batch if there is only one
or none that doesn't meet the required specifications. If one
shipment of 5000 aspirin tablets actually has a 3% rate of
defects, what is the probability that this whole shipment will be
accepted? Will almost all such shipments be accepted, or will many
be rejected?

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