According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume?
Integers to .
b. Find to 3 decimal places the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables. Use the binomial probability distribution formula.
Probability = .

(a) S = {0, 1, 2, ..., 10}

(b) 0.256

Step-by-step explanation:

It is provided that, 74% of households said that they have never purchased organic fruits or vegetables.

(a)

X = the number of households in a random sample of 10 who have never purchased organic fruits or vegetables.

X follows a binomial distribution.

The sample space of X is:

S = {0, 1, 2, ..., 10}

(b)

Compute the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables as follows:

Thus, the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is 0.256.

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.