Suppose 15% of adults in a certain country work from home.1) If we want to find the probability that fewer than 60 out of a random sample of 500 adults will work from home, a) What is the associated z-score (to 2 decimals)? ______ b) What is the probability? \( P\left( \hat{p} < \frac{60}{500} \right) \) = ______ (Round to 4 decimals.)2) If we want to find the probability that more than 100 out of a random sample of 500 adults will work from home, a) What is the associated z-score (to 2 decimals)? ______ b) What is the probability? \( P\left( \hat{p} > \frac{100}{500} \right) \) = ______ (Round to 4 decimals.)

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Answered: Suppose 15% of adults in a certain…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4. The odds that an event, A, happens is defined to be O(A) P(A) 1- P(A) If the odds that event A occurs is 3.0, what is the probability it happens? (a) (b) = If the odds that event A occurs is 3:0, what is the probability it happens? 3.0'
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Suppose 50% of the registered voters in a country are Republican if a sample of 598 voters is selected what is the probability that the simple proportion of republicans will be greater than 47% round your answer to 4 decimal places
25. A survey showed that 82% of adults need corection (eyeglasses, contacts, surgery, etc.) for their eyesight IF 21 adults are randomly selected, find the probabity that no more than 1 of them need corection for their eyesight. Is 1 a significanty low number of adults requining eyesight correction? The probability that no more than 1 of the 21 adults require eyesight corection is? (Round to three decimal places as needed)
13.Imagine a population of balls in which all are red except for three green ones. If we randomly sample two balls, without replacement, and the probability of getting green both times is p=0.025, which of the following is the number of red balls in the population?
13. In a certain population, heights (in inches) are normally distributed with a = 67 and a = 3. Find the probability that a person selected at random has a height between 63 and 71 inches. Refer to Appendix A of the textboun. -
6. The life expectancy of a brand of car motors has a normal distribution with "- 75,000 and o - 5,500. a. Find the probability that 1 motor is chosen at random will have a life expectancy of more than 90,000 miles.
1) The population of SAT scores is normal with u- 500 and a - 100. If you get a sample of n 25 students, what is the probability that the sample mean will be greater than M-540?
3
23. Composite Drug Test Based on the data in Table 4-1 on page 146, assume that the probability of a randomly selected person testing positive for drug use is 0.126. If drug screening samples are collected from 5 random subjects and combined, find the probability that the combined sample will reveal a positive result. Is that probability low enough so that further testing of the individual samples is rarely necessary?
8. A student says the probability that the daily high temperature is greater than 90° on an August day in Rocky Mount is 1.14. What is wrong with this conclusion?
16. A soldier is parachute training. He jumps out of plane high enough that the pilot determines the soldier will land somewhere in an 240 foot radius land zone. The pilot forgot to mention to the soldier that the parachute has very little maneuverability (no steering) and there are 30 trees in the landing zone. Each tree from the air practically outlines a circle with a radius of 8 feet. What is the geometric probability that the soldier will land Area of Circle =ar? 240 ft a tree? (- 8 tr LAND ZONE TREE Decimal: M. Winking (Section 7-2) p. 154

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