According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work? Round the answer to the nearest thousandth.

A. 0.001

B. 0.002

C. 0.128

D. 0.900

Question

Paddy

Mathematics

26 February, 06:41

According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work? Round the answer to the nearest thousandth.

A. 0.001

B. 0.002

C. 0.128

D. 0.900

+5

Answers (1)

Know the Answer?

Ian Turner · Answer 1

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

Ans: A

According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work? Round the answer to the nearest thousandth.A. 0.001B. 0.002C. 0.128D. 0.900

According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work? Round the answer to the nearest thousandth.

A. 0.001

B. 0.002

C. 0.128

D. 0.900