According to a survey, 15% of city workers take the bus to work. donatello randomly surveys 10 workers. what is the probability that exactly 6 workers take the bus to work

0.001
0.002
0.128
0.900

0.001

Step-by-step explanation:

Given:

Total number of workers, .

Number of workers taking bus,

Let the probability of taking bus be success and denoted by .

So,

Therefore, probability of not taking bus,

Using Bernoulli's distribution of getting successes out of trials.

∴

Plug in 0.15 for , 0.85 for , 10 for and 6 for

So,  

Therefore, the probability that exactly 6 workers take bus is 0.001.