Pregunta
A survey shows that about
college. Suppose that we randomly select 11 students from the college, please solve the following problems
and round your answers to 4 decimal places.
a. What is the probability that exactly 5 of them know HelpYourMath YouTube Channel?
b. What is the probability that at least 5 of them know HelpYourMath YouTube Channel?
c. What is the probability that at most 5 of them know HelpYourMath YouTube Channel?
d. What is the probability that more than 5 of them know HelpYourMath YouTube Channel?
e. What is the probability that less than 5 of them know HelpYourMath YouTube Channel?
college. Suppose that we randomly select 11 students from the college, please solve the following problems
and round your answers to 4 decimal places.
a. What is the probability that exactly 5 of them know HelpYourMath YouTube Channel?
b. What is the probability that at least 5 of them know HelpYourMath YouTube Channel?
c. What is the probability that at most 5 of them know HelpYourMath YouTube Channel?
d. What is the probability that more than 5 of them know HelpYourMath YouTube Channel?
e. What is the probability that less than 5 of them know HelpYourMath YouTube Channel?
Ask by Kelley Brewer. in the United States
Mar 14,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
a. 0.2335
b. 0.5720
c. 0.4280
d. 0.5720
e. 0.2335
b. 0.5720
c. 0.4280
d. 0.5720
e. 0.2335
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Mind Expander
To solve these problems, we can use the binomial probability formula, which is given by:
where:
-
is the number of trials (students selected), -
is the number of successes (students who know the channel), -
is the probability of success (0.6), -
is the binomial coefficient.
In this case,
a. Probability that exactly 5 of them know the HelpYourMath YouTube Channel
Calculating for
First, calculate
Then calculate the probability:
Calculating powers:
Now multiply:
b. Probability that at least 5 of them know HelpYourMath YouTube Channel
This is calculated as:
Calculating
After calculation, we get:
Summing these probabilities:
Then:
c. Probability that at most 5 of them know HelpYourMath YouTube Channel
From above:
d. Probability that more than 5 of them know HelpYourMath YouTube Channel
e. Probability that less than 5 of them know HelpYourMath YouTube Channel
This is already been calculated as
Summary
a.
b.
c.
d.
e.
b.
c.
d.
e.
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