according to a recent survey, 85% of high school sutdents own a personal media player. what is the probability that 6 out of 10 random high school students own a personal media player?
Question
-
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⁻ˣWhere,x = Total number of successful trailsa = Total number of eventsp = Probability of success1 – p = Probability of failurenCr = [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 = 10Success rate = 6Probability 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)¹⁰⁻⁶When we simplify this one then we get the probability as,=> P = 0.04When 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