Suppose that a recent poll of american households about car ownership found that for households with a car, 39% owned a sedan, 33% owned a van, and 7% owned a sports car. suppose that three households are selected randomly and with replacement. what is the probability that all three randomly selected households own a van? (round to the nearest thousandth) select one: a. 0.036 b. 0.059 c. 0.003 d. 0.964

Option 'a' is correct.

Step-by-step explanation:

Since we have given that

Probability of owned a sedan = 39%

Probability of owned a van = 33%

Probability of owned a sports car = 7%

n = 3

We need to find the probability that all three randomly selected households own a van.

So, Probability of getting all 3 own a van is given by

Hence, Option 'a' is correct.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

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step-by-step explanation: