Quincy and Julie are in charge of making a banner for the basketball game this friday. how much paper will they need for a paral
1 answer:
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Answer:
Probability that fewer than 2 of these parts are defective is 0.604.
Step-by-step explanation:
We are given that at a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 19% of the time.
A random sample of 7 parts produced by this machine is chosen.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 7 parts
r = number of success = fewer than 2
p = probability of success which in our question is % of defective
parts produced by one of the machine, i.e; 19%
<em>LET X = Number of parts that are defective</em>
<u>So, it means X ~ Binom(n = 7, p = 0.19)</u>
Now, probability that fewer than 2 of these parts are defective is given by = P(X < 2)
P(X < 2) = P(X = 0) + P(X = 1)
=
=
= <u>0.604</u>
<em>Therefore, the probability that fewer than 2 of these parts are defective is 0.604.</em>
Complete Question
An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "Don't care." On a particular day, the results of a question were tallied. In all, 636 said "Yes, " another 595 said "No, " and the remaining 93 indicated that they were not sure.
a)
What is the sample size for this poll?
b)
Compute the percent of responses in each of the possible response categories. (Round your answers to two decimal places.)
c)
Discuss the poll in terms of the population and sample framework that we have studied in this chapter.
i)
This random sample of responses collects the opinions of a random group of users across all users of the Internet.
ii)
This voluntary response sample collects only the opinions of those that visit this site every day.
iii)
This random sample of responses collects the opinions of a random group of users of the particular site.
iv)
This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.
Answer:
a
b
YES
NO
NOT SURE
c
The correct option is (iv)
Step-by-step explanation:
From the question we are told that
The voting options are "Yes, " "No, " "Not sure, " or "Don't care."
The number of people that said is
The number of people that said No is
The number that indicated Not sure is
Generally the sample size is mathematically represented as
=>
=>
Generally the percentage of responses that was Yes is mathematically represented as
=>
Generally the percentage of responses that was No is mathematically represented as
Generally the percentage of responses that was Not sure is mathematically represented as
This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.