Use a binomial probabilities table to find the probability of x successes given the probability p of success on a given trial. nequals=22​, xequals=11​, pequals=0.10

Question

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use a binomial probabilities table to find the probability of x successes given the probability p of success on a given trial.

n=2​,

x=1​,

p=0.10

P(1) =?

Answer 1

For n trials the binomial terms are:

2/2=0.10^2=0.01

1/2=2*0.10*0.90=0.18

0/2=0.90^2=0.81

These probabilities sum to 1. 0.90 is the probability of failure when 0.10 is the probability of success.

The table shows the probability of X out of 2 trials, denoted by X/2.

From this table the probability of 1/2 is 0.18.