In: Statistics and Probability
The probability that a student uses Smarthinking Online Tutoring on a regular basis is 0.35 . In a group of 21 students, what is the probability that exactly 8 of them use Smarthinking Online Tutoring on a regular basis? Write only a number as your answer. Round to 4 decimal places (for example 0.2416). Do not write as a percentage.
Answer:
P (student uses Smart thinking Online Tutoring on a regular basis) = 0.35
q = 1-p
= 1-0.35
=0.65
No of students n = 21
x=8
P (n, x) = nCx p^x (1 - p) ^ (n - x)
P (exactly 8 uses Smart thinking Online Tutoring)
= 21C8 * (0.35) ^8 * (0.65) ^13
= 0.1506 (using binomial distribution)