Answer:
0.044
Step-by-step explanation:
You conduct 25 trials where the probability for each success is 0.44
Probability of each failure = 1- p (succcess)= 1- 0.44= 0.56
Now we use binomial distribution formula
[tex]P(x) = nCx(p)^x * q^{n-x}[/tex]
n = number of trials = 25
p= probability of getting success = 0.44
q = probability of failures = 0.56
x = number of success = 15
plug in all the values in the formula
[tex]P(15) = 25C15(0.44)^15 * 0.56^{10}[/tex]
[tex]25C15 = \frac{25!}{151(25-15)!} =3268760[/tex]
[tex]P(15) = 3268760(0.44)^15 * 0.56^{10}[/tex]
P(15)= 0.0444685995
Answer is 0.044
