According to a recent study, some experts believe that 22.22% of all freshwater fish in a particular country have such high levels of mercury that they are dangerous to eat. suppose a fish market has 150 fish we consider randomly sampled from the population of edible freshwater fish.
use central limit theorem (and the empirical rule) to find the approximate probability that the market will have a proportion of fish with dangerously high level of mercury that is more than two standard errors above 0.20.
you can use central limit theorem because the fish were randomly sampled; the population is more than 10 times 250; and np is 50, and n(1-p) is 200, and both are more than 10.

Step-by-step explanation:

Given that according to a recent study, some experts believe that 22.22% of all freshwater fish in a particular country have such high levels of mercury that they are dangerous to eat.

Here number of fish n =150

Sampling method = random

Outcomes = only two whether dangerous or not dangerous

Each fish is independent of the other

Hence No of fish that is dangerous is binomial with n =150 and p =0.2222

np >10 and n(1-p)>10

Hence binomial approximation can be applied

Part 1: x ≥ 17/9

Part 2: x is greater than or equal to seventeen ninths.

Part 3: using x= 3 and 4 respectively, the solution was verified

The complete statement related to this found on (ID: 2020133) is stated below:

Use the inequality to answer Parts 1-3.

-3(x - 2) ≤ one third

Part 1: Solve the inequality. Leave answer in terms of a whole number or reduced improper fraction.

Part 2: Write a verbal statement describing the solution to the inequality.

Part 3: Verify your solution to the inequality using two elements of the solution set.

Use a word processing program or handwrite your responses to Parts 1-3. Turn in all three responses.

Step-by-step explanation:

Part 1) The inequality: -3(x - 2) ≤ one third

-3(x - 2) ≤ ⅓

Multiply through by 3

-3(3)(x-2) ≤ 3(⅓)

-9(x-2) ≤ 1

Expand the bracket

-9x + 18 ≤ 1

Collect like terms

-9x ≤ 1-18

-9x ≤ -17

Divide through by coefficient of x (-9)

-9x/-9 ≤ -17/-9

When you divide an expression in inequality by a negative sign, the inequality sign changes

x ≥ 17/9

Part 2) the verbal statement of the solution:

x is greater than or equal to seventeen ninths.

Part 3) We would verify the solution to the inequality using two elements of the solution set greater than 17/9.

17/9 = 1.89

Let's use x= 3 and x = 4. As they are greater than 17/9

-3(x - 2) ≤ ⅓

When x= 3

-3(3 - 2) ≤ ⅓

-3(1) ≤ ⅓

-3 ≤ ⅓

This satisfies the solution of the inequality

When x= 4

-3(4 - 2) ≤ ⅓

-3(2) ≤ ⅓

-6 ≤ ⅓

This satisfies the solution of the inequality