A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers the color green. If 16 buyers are randomly selected, what is the probability that exactly 10 buyers would prefer green

Step-by-step explanation:

Represent Green with G

So,

Required

Determine the probability that 10 out of 16 prefer green

This question is an illustration of binomial distribution and will be solved using the following binomial distribution formula.

In this case:

-- number of people

-- those that prefer green

So, the expression becomes:

Substitute 50% for G (Express as decimal)

Apply law of indices

Solve 16C10

Hence, the required probability is 0.1222

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

-2

7 - 9 = -2

reversed:

-2 + 9 = 7