The probability of being in a car accident when driving more than 10 miles over the speed limit in a residential neighborhood is 0.07. of the next 1,698 cars that pass through a particular neighborhood, what are the first and third quartiles for the number of car accidents in this neighborhood?

We are given the following values:

n = number of samples / cars = 1,698

p = probability of each success = 0.07

The standard deviation (σ) is calculated using the formula:

σ = sqrt [n p (1 – p)]

σ = sqrt [1,698 (0.07) (1 – 0.07)]

σ = 10.51

The mean (x) is:

x = n p

x = 1,698 (0.07)

x = 118.86 car accidents

The quartiles are:

1st quartile = x - 2σ to x – σ

1st quartile = 118.86 – 2 (10.51) to 118.86 – 10.51

1st quartile = 97.84 to 108.35

(97.84<Q1<108.35)

3rd quartile = x to x + σ

3rd quartile = 118.86 to 118.86 + 10.51

3rd quartile = 118.86 to 129.37

(118.86<Q3<129.37)

the correct answer is b) histograms can be used to exhibit the shape of distributions. this is because histograms count the frequency of each possible answer, so one is able to see which results are more common and which are less common.

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.