help. **Educational Website Content: Probability and Random Selection****Context:**A large community college district has 1,000 teachers, with an equal distribution of men and women (50% each). Administrators are chosen from this faculty pool. Currently, there are 20 administrators, with 65% being male.**Tasks:**Complete the following calculations and reasoning:**a. Probability of Male Administrators Being 65% or More:** - Calculate the probability that if administrators are selected randomly from the faculty, the male administrators will be 65% or more. - Answer by rounding to three decimal places.**b. Probability of Female Administrators Being 35% or Less:** - Calculate the probability that if administrators are selected randomly from the faculty, the female administrators will be 35% or less. - Answer by rounding to three decimal places.**c. Relationship Between Part (a) and Part (b):** - Determine how the probabilities in parts (a) and (b) are related.**Options:** - A: The questions are identical, considering equal population proportions of men and women, resulting in equal probabilities for complementary events. - B: Selecting 65% or more males equals selecting 35% or less females due to complementary probabilities. - C: The selection probabilities of 65% or more males and 35% or less females make the questions identical. - D: The relation is coincidental because the probabilities are complements.**d. Reasonableness of Random Selection Claim:** - Assess if it's reasonable to claim administrators are randomly selected. A likelihood under 10% indicates an unreasonable claim. - Evaluate if it's __[reasonable/not reasonable]__ to believe in random selection given a __[dropdown with options]__ chance.**Interactive Part:** - Users can input the probability and determine if the chance indicates reasonableness.This educational module aims to enhance understanding of probability theory in real-world scenarios, encouraging analytical thinking and interpretation of statistical data. A large community college district has 1,000 teachers, of whom 50% are men and 50% are women. In this district, administrators are promoted from among the teachers. There are currently 20 administrators, and 65% of these administrators are men. Complete parts (a) through (d) below.a. If administrators are selected randomly from the faculty, what is the approximate probability that the percentage of male administrators will be 65% or more?[ ] (Round to three decimal places as needed.)b. If administrators are selected randomly from the faculty, what is the approximate probability that the percentage of female administrators will be 35% or less?[ ] (Round to three decimal places as needed.)c. How are part (a) and part (b) related?- A. These two questions are identical because the population proportions of men and women are equal. The probabilities of selecting 67% or more males and selecting 33% or less females would also be equal.- B. Selecting 65% or more males is the same as selecting 35% or less females. The probabilities are complements.- C. Selecting 65% or more males is the same as selecting 35% or less females. These two questions are identical.- D. The parts are only related because the probabilities are coincidentally complements.d. Do your answers suggest that it is reasonable to believe the claim that the administrators have been selected randomly from the teachers? Let a probability less than 10% suggest an unreasonable claim.It is [ ] to believe the claim that the administrators have been selected randomly since the probability that the percentage of male administrators will be 65% or more is [ ] there is a [ ] % chance it would occur [ ].(Round to one decimal place as needed.) The dropdown options for the first blank are:- near 50%;- low;- high;- 0%;- 100%;- not low;The dropdown options for the third blank are:- 0%;- 100%;- 65%;- 96.9%;- 0.1%;- 3.1%;

Name: help. **Educational Website Content: Probability and Random Selection*
Uploaded: 2024-03-20T06:46:14.000Z
Channel: Bartleby
Description: help. **Educational Website Content: Probability and Random Selection****Context:**A large community college district has 1,000 teachers, with an equal distribution of men and women (50% each). Administrators are chosen from this faculty pool. Curren