Binomial Experiments: Find Probability of x=5, x>=6, x<4

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SUMMARY

The discussion focuses on solving a binomial probability problem involving U.S. adults' trust in national newspapers. The parameters are defined as n=9 (number of trials), p=0.60 (probability of success), and q=0.40 (probability of failure). Participants clarify the calculation methods using the binomial probability density function (pdf) and summation commands on a calculator. The correct probabilities to find are for exactly five adults, at least six adults, and less than four adults trusting the newspapers.

PREREQUISITES
  • Understanding of binomial experiments and their parameters (n, p, q)
  • Familiarity with binomial probability density function (pdf)
  • Basic knowledge of statistical concepts such as mean, standard deviation, and variance
  • Experience using calculators for statistical computations
NEXT STEPS
  • Learn how to use the binomial probability formula for calculations
  • Explore the use of statistical calculators for binomial distributions
  • Study the concepts of mean, standard deviation, and variance in binomial distributions
  • Investigate real-world applications of binomial experiments in survey data analysis
USEFUL FOR

Students studying statistics, educators teaching probability, and data analysts working with survey results will benefit from this discussion.

aprilryan
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Hi all,

I'm a bit confused on this problem in my book.

"Specify the values of n, p, and q and list the possible values of the random variable x.
Sixty percent of U.S. adults trust national newspapers to present the news fairly and accurately. You randomly select nine U.S. adults. Find the probability that the number of U.S. adults who trust national newspapers to present the news fairly and accurately is (a) exactly five, (b) at least six, and (c) less than four."

I have the values.

n=9
p=.63
q=.37
x=5
x is at least six
x<4

Would I have to do them on the calculator using binomial pdf and sum commands or find the mean, standard deviation and variance?

Note: I have been shown to do these types of problems on the calculator using the binomial pdf and sum commands.
 
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aprilryan said:
Hi all,

I'm a bit confused on this problem in my book.

"Specify the values of n, p, and q and list the possible values of the random variable x.
Sixty percent of U.S. adults trust national newspapers to present the news fairly and accurately. You randomly select nine U.S. adults. Find the probability that the number of U.S. adults who trust national newspapers to present the news fairly and accurately is (a) exactly five, (b) at least six, and (c) less than four."

I have the values.

n=9
p=.63
q=.37
x=5
x is at least six
x<4

Would I have to do them on the calculator using binomial pdf and sum commands or find the mean, standard deviation and variance?

Note: I have been shown to do these types of problems on the calculator using the binomial pdf and sum commands.

Where does $p = 0.63$ comes from? I would say it should be $p=0.6$ according to the question.
 
Yes, it was .60. Thanks, I've got this one figured out!
 

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