Of those people who lose weight on a diet, 90% gain all the weight back. in a random sample of 12 dieters who have lost weight, what is the probability of each of the following?

from 8 to 10 gain the weight back, including 8 and 10
a 0.118
b .0.085
c. 0.336
d. 0.387
e. 1.17
f. not here

The correct answer is C. 0.336

It means that there is a probability of 33.6% that 8 to 10 dieters out of 12 of this random sample, gained the weight back after losing weight on a diet.

Step-by-step explanation:

1. Let's review the information provided to us to answer the problem correctly:

Probability of gaining weight back after losing weight on a diet = 90% = 0.9

Random sample = 12 dieters

2. What is the probability of each of the following?  From 8 to 10 gain the weight back, including 8 and 10.

This is a binomial distribution and we will use the following table to answer the question, with P = 0.9 and 12 trials is:  

P(0) = 1.0E-12

P(1) = 1.08E-10

P(2) = 5.346E-9

P(3) = 1.6038E-7

P(4) = 3.247695E-6

P(5) = 4.6766808E-5

P(6) = 0.000491051484

P(7) = 0.003788111448

P(8) = 0.021308126895

P(9) = 0.08523250758

P(10) = 0.230127770466

P(11) = 0.376572715308

P(12) = 0.282429536481

Now, we can calculate the answer this way:

P(8) + P(9) + P(10)

0.0213 + 0.0852 + 0.2301 = 0.3366

The correct answer is C. 0.336

It means that there is a probability of 33.6% that 8 to 10 dieters out of 12 of this random sample, gained the weight back after losing weight on a diet.

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.