Binomial distribution:engines off a new production line

[wind]

Suppose that 5% of the first batch of engines off a new production line have flaws. An inspector randomly selects six engines for testing. Show the probability distribution for the number of flawed engines in the sample

I know i have to use this formula

\(\displaystyle \L\ P(x)=nCx p^xq^{n-x}\)

but I don't know what value each variable has

\(\displaystyle \L\ P(1)=6C1 \frac{5}{100}^1\frac{95}{100}^{5}\)

would I keep doing that for each number of flawed engins, so the next thing would be P(2)? or are the values i subed in wrong?

Thanks

 

[JakeD]

Suppose that 5% of the first batch of engines off a new production line have flaws. An inspector randomly selects six engines for testing. Show the probability distribution for the number of flawed engines in the sample

I know i have to use this formula

\(\displaystyle \L\ P(x)=nCx p^xq^{n-x}\)

but I don't know what value each variable has

\(\displaystyle \L\ P(1)=6C1 \frac{5}{100}^1\frac{95}{100}^{5}\)

would I keep doing that for each number of flawed engins, so the next thing would be P(2)? or are the values i subed in wrong?

Thanks

You're correct! But remember the first value is P(0) for no flaws.

 

[wind]

Thanks, JakeD