In a certain state, about 75% of drivers who are arrested for driving while into
ID: 3040355 • Letter: I
Question
In a certain state, about 75%
of drivers who are arrested for driving while intoxicated (DWI) are convicted. Complete parts a through c below.
C. find the probability that 11 or fewer drivers are convicted
help with b and c please
In a certain state, about 75% of drivers who are are convicted. Complete parts a through c below. a. If 15 independently selected drivers were arrested for DWI, how many of them would you expect to be convicted? Choose the correct answer below. OA. 12 &B.; 11 OC. 9 O D. 10 b. What is the probability that exactly 11 out of 15 independently selected drivers are convicted? The probability that exactly 11 out of 15 drivers are convicted is (Type an integer or decimal rounded to three decimal places as needed.)Explanation / Answer
Given p = 0.75
a. n = 15
=> = np = 15 * 0.75 = 11.25.
The nearest answer is 11.
b. X ~ Binom(15,0.75)
P(X = 11) = 15C11 * 0.7511 * (1 - 0.75)15-11
= 15! / (11! * 4!) * 0.7511 * 0.254
= 0.225.
c. Using binomial tables,
P(X <= 11) = 0.539.