The possibilities of an even number are 2, 4, 6, 8, 10, 12, 14, and 16 .
The possibilities of an odd prime are 3, 5, 7, 11, and 13.
8 even numbers + 5 odd primes = 13 possibilities of success
out of 16 total possible outcomes.
Probability of success = 13/16 = 0.8125 = 81.25% .
Rounded to the nearest thousandth, it's 0.813 .
Where are the statements at?
Answer:
Binomial distribution,
n = 36 independent events,
p = 0.5 probability of success and of failure, as 1-p = p.
Mean of binomial distribution is np=18.
Variance is np(1-p)=9
Standard deviation is sqrt(variance)=3.