Question

The Ford Car Company is testing their new side impact bags. It has been found that 5% of the air bags do not deploy on impact.

a) What is the probability that exactly 5 of next 75 airbags tested will not deploy?
b) What is the expected number of defective air bags in a new batch of 5000?

Answer 1

@jim_thompson5910

Answer 2

a)


P(X = x) = (n C x)*(p)^(x)*(1-p)^(n-x)

P(X = 5) = (75 C 5)*(0.05)^(5)*(1-0.05)^(75-5)

P(X = 5) = (75 C 5)*(0.05)^(5)*(0.95)^(75-5)

P(X = 5) = (17259390)*(0.05)^(5)*(0.95)^70

P(X = 5) = (17259390)*(0.0000003125)*(0.0275836904)

P(X = 5) = 0.14877427195401


So the probability that exactly 5 of next 75 airbags tested will not deploy is roughly 0.14877427195401

Answer 3

b)

Expected value = n*p

Expected value = 5000*0.05

Expected value = 250

So the expected number of defective air bags in a new batch of 5000 is 250 airbags

Answer 4

Wow, you're awesome man. Thank you! :D

Answer 5

you're welcome