23 multiple choice 4 points find the indicated probability. empirical evidence suggests that 25% of florida…

Explanation:

Step1: Identify the binomial probability formula

The binomial probability formula is $P(X = k)=C(n,k)\times p^{k}\times(1 - p)^{n - k}$, where $n$ is the number of trials, $k$ is the number of successes, $p$ is the probability of success on a single - trial, and $C(n,k)=\frac{n!}{k!(n - k)!}$. Here, $n = 4$, $p=0.25$, and $1 - p = 0.75$.

Step2: Calculate the probability of 0 and 1 uninsured drivers

For $k = 0$: $C(4,0)=\frac{4!}{0!(4 - 0)!}=1$ $P(X = 0)=C(4,0)\times(0.25)^{0}\times(0.75)^{4}=1\times1\times0.31640625 = 0.31640625$ For $k = 1$: $C(4,1)=\frac{4!}{1!(4 - 1)!}=\frac{4!}{1!3!}=4$ $P(X = 1)=C(4,1)\times(0.25)^{1}\times(0.75)^{3}=4\times0.25\times0.421875 = 0.421875$

Step3: Calculate the probability of more than 1 uninsured drivers

The probability of more than 1 uninsured drivers is $P(X>1)=1 - P(X\leq1)=1-(P(X = 0)+P(X = 1))$. $P(X = 0)+P(X = 1)=0.31640625 + 0.421875=0.73828125$ $P(X>1)=1 - 0.73828125 = 0.26171875\approx0.26$

Answer:

0.26