Question

Find the probability of no successes in six trials of a binomial experiment in which the probability of success is 30%. Round to the nearest tenth of a percent.

Answer 1

Answer: There is 11.76% chances that there is no success in six trials.

Step-by-step explanation:

Since we have given that

Probability of success = 30%

Probability of no success is given by

100-30=70%

Number of trials = 6

And we need probability of no success in 6 trials.

We will use "Binomial distribution",

$P(X=x)=^nC_xp^xq^(n-x)\\\\P(X=0)=^6C_0(0.3)^0(0.7)^6\\\\P(X=0)=1\times 0.7^6\\\\P(X=0)=0.1176\\\\P(X=0)=11.76\%$

Hence, there is 11.76% chances that there is no success in six trials.

Answer 2

Answer:

11.8%

Step-by-step explanation: