Question

Assume that a procedure yields a binomial distribution with a trial repeated n times. use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. round to three decimal places. n = 14, x = 6 , p = 0.5

Answer 1

The binomial probability formula is given by

ⁿCₓ (p)ˣ (q)ⁿ⁻ˣ

Where q = 1 - p

We have
n = 14
x = 6
p = 0.5
q = 1 - 0.5 = 0.5

Substitute these values into the formula, we have

¹⁴C₆ × 0.5⁶ × 0.5⁸ = 0.183 (rounded to three decimal places)