At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
As per the binomial distribution, the probability that 6 out of 10 random high school students own a personal media player is 4%.
Binomial distribution:
The general formula to calculate the binomial distribution is written as,
P = aCx pˣ (1 - p)ᵃ⁻ˣ
Where,
x = Total number of successful trails
a = Total number of events
p = Probability of success
1 – p = Probability of failure
nCr = [n!/r!(n−r)]!
Given,
According to a recent survey, 85% of high school students own a personal media player.
Here we need to find the probability that 6 out of 10 random high school students own a personal media player.
While we looking into the given question,
Total number of student = 10
Success rate = 6
Probability percentage = 85%
When we convert this into decimal then we get the probability as 0.85.
Now, according to the binomial distribution, Substituting in values for this problem, n=10, p=0.85, and X=6 on the formula, then we get,
=> P = [10!/6!4!] x (0.85)⁶ x(1- 0.85)¹⁰⁻⁶
When we simplify this one then we get the probability as,
=> P = 0.04
When we convert this into percentage, then we get the probability as 4%.
To know more about Binomial distribution here.
https://brainly.com/question/14565246
#SPJ4
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.
