Answer:
0.6 is the probability of success of a single trial of the experiment
Complete Problem Statement:
In a binomial experiment with 45 trials, the probability of more than 25 successes can be approximated by
What is the probability of success of a single trial of this experiment?
Options:
- 0.07
- 0.56
- 0.79
- 0.6
Step-by-step explanation:
So to solve this, we need to use the binomial distribution. When using an approximation of a binomially distributed variable through normal distribution , we get:
=
now,
so,
by comparing with , we get:
μ=np=27
=3.29
put np=27
we get:
=3.29
take square on both sides:
10.8241=27-27p
27p=27-10.8241
p=0.6
Which is the probability of success of a single trial of the experiment