Question

Binomial Distributions Assitance?

Answer 1

We need to find the probability of atleast one failure in 5 trails

Probability of success = 30% = 3/10

The opposite meaning of atleast one failure is all success (no failures)

Probability of (atleast one failure ) = 1- Probability ( success)

First we find probability of success

Formula for binomial distribution

$nCr(p)^r (q)^{n-r}$

All success so n=5, r=5, p= 3/10, q= 1-p = 7/10

Probability (success) = $5C5 ( \frac{3}{10})^{5}( \frac{7}{10})^{5-5}$

= $(\frac{3}{10}) ^ 5$

Probability (atleat one failure) = 1 - $(\frac{3}{10}) ^ 5$

= 0.92224

= 92.2%