A binomial experiment has 6 trials in which p = 0.85. What is the probability of getting at least 4 successes? A) 0.9527 September 26, 2023 by Thái Dương A binomial experiment has 6 trials in which p = 0.85. What is the probability of getting at least 4 successes?A) 0.9527B) 0.9178C)0.4554

Answer: 0.9527 Step-by-step explanation: Once again, if Brainly would stop deleting my answer for no reason, your answer is 0.9527. OKAY! …okay Reply

The binomial probability for getting at least 4 successes is 0.955 What is binomial probability? The probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes is called binomial probability. Binomial probability formula [tex]P_{x} = nC_{x} p^{x} q^{n-x}[/tex] Where, P is the binomial probability x is the number of times for a specific outcomes within n trials [tex]nC_{x}[/tex] is the number of combinations p is the probability of success in a single trial q is the probability of failure on a single trial n is the number of trials Let p denote the probability of getting success in a single trial and q denotes the probability of failure in a single trial. And let x be a random variable denoting the number of success. According to the given question. We have [tex]p = 0.85[/tex] ⇒[tex]q = 1- 0.85 = 0.15[/tex] Also, n = 6 Therefore, The binomial probability of getting at least 4 success [tex]=P(x\geq 4)[/tex] [tex]=P(x=4)+P(x=5)+P(x=6)[/tex] [tex]= 6C_{4} (0.85)^{4} (0.15)^{2} + 6C_{5} (0.85)^{5} (0.15)^{1}+ 6C_{6} (0.85)^{6} (0.15)^{0}[/tex] [tex]=\frac{6!}{4!21} (0.522)(0.0225)+\frac{6!}{5!1!} (0.443)(0.15)+\frac{6!}{6!0!} (0.4)[/tex] [tex]=15(0.011)+6(0.066)+1(0.4)[/tex] [tex]=0.165+0.396+0.4\\=0.955[/tex] Hence, the binomial probability for getting at least 4 successes is 0.955 Thus, option A is correct. Find out more information about binomial probability here: https://brainly.com/question/12474772 #SPJ3 Reply

Answer:Step-by-step explanation:binomial probabilityfor getting at least 4 successes is 0.955## What is binomial probability?

binomial probability.## Binomial probability formula

binomial probabilityprobabilityof success in a single trialprobabilityof failure on a single trialprobabilityof getting success in a single trial and q denotes theprobabilityof failure in a single trial.binomial probabilityof getting at least 4 successbinomial probabilityfor getting at least 4 successes is 0.955binomial probabilityhere: