Of all the registered automobiles in a city, 11% fail the emissions test. Twelve automobiles are selected at random to undergo an emissions test. Round the answers to four decimal places.

Complete question :

Of all the registered automobiles in a city, 11% fail the emissions test. Twelve automobiles are selected at random to undergo an emissions test. Round the answers to four decimal places.

1.)Probability that exactly 3 fail

2.) Fewer Than 3 fail

0.1026 ;

0.8623

Step-by-step explanation:

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

p = 0.11

1 - p = 1 - 0.11 = 0.89

n = 12

P(x = 3) = 12C3 * 0.11^3 * 0.89^0

P(x = 3) = 0.1026

Fewer Than 3

P(x < 3) = p(x = 0) + p(x = 1) + p(x = 2)

Using a binomial probability calculator :

P(x = 0) = 0.2470

P(x = 1) = 0.3663

P(x = 2) = 0.2490

(0.2470 + 0.3663 + 0.2490) = 0.8623

where's the diagrams?

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)