Answer:0.001
x=the number of workers taking the bus to work
p= probability of success =(15/100) = 0.15
q= probability of failure =1- p = 0.85
P(X=6) = 10C6(0.15)^6(0.85)^4
= 0.001
Answer: 0.001
Step-by-step explanation:
Binomial probability formula :
[tex]P(x)=^nC_xp^x(1-p)^{n-x}[/tex], where P(x) is the probability of exactly x successes in n trials.
Given : The probability of city workers take the bus to work =15%=0.15
The sample size :n= 10
Now, the probability that exactly 6 put of 10 workers take the bus to work :-
[tex]P(6)=^{10}C_6(0.15)^{6}(1-0.15)^{10-6}\\\\=\dfrac{10!}{6!(10-6)!}(0.15)^6(0.85)^4\\\\=0.0012486552627\approx0.001[/tex]
Therefore , the probability that exactly 6 workers take the bus to work = 0.001
