According to The World Bank, only 9% of the population of Uganda had access to electricity as of 2009. Suppose we randomlysample 159 people in Uganda. Let X = the number of people who have access to electricity.(a) What is the probability distribution for X?X ~ P(0.09)O x~ B(0.09, 159)X~ B(159, 0.09)X~ G(0.09)X ~ G(159)(b) Using the formulas, calculate the mean and standard deviation of X. (Enter your mean to two decimal places andround your standard deviation to four decimal places.)meanpeoplestandard deviationpeople(c) Use your calculator to find the probability that 15 people in the sample have access to electricity. (Round your answerto four decimal places.)(d) Find the probability that at most ten people in the sample have access to electricity. (Round your answer to fourdecimal places.)(e) Find the probability that more than 25 people in the sample have access to electricity. (Round your answer to fourdecimal places.). ..

Find the probabilities using binomial distribution

Answered: According to The World Bank, only 9% of…

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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The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.10. Each student does homework independently. In a statistics class of 50 students, what is the probability that at least 5 will do their homework on time?
suppose we select an SRS of 1010 adults. If it is believed that 60% of all adults are very satisfied with their lives, what is the probability that at least 610 adults in our sample are very satisfied with their lives?Let X be the number (out of 1010) of adults who are very satisfied with their lives. What distribution should X have? Why?
A survey showed that 83% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 18 adults are randomly selected, find the probability that at least 17 of them need correction for their eyesight. Is 17 a significantly high number of adults requiring eyesight correction? ... The probability that at least 17 of the 18 adults require eyesight correction is (Round to three decimal places as needed.)
X is normally distributed with ?=14 and ?= 4. Find the probability that x is between 1 and 18.
Suppose we played roulette x5 times (where x = 3 is the last digit of your student ID) and each time we bet on the number 17. In each game, xthe probability of winning is 1/37. Calculate the probability P(X = z), where z is the second-to-last digit of your student ID (in this case, z = 5). Draw the probability distribution function graph for the given scenario. Also, calculate the probability of winning less than 5 timesDo this task in R commander.
A survey showed that 81% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 20 adults are randomly selected, find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight correction? The probability that no more than 1 of the 20 adults require eyesight correction is (Round to three decimal places as needed.)
The probability distribution itself is assumed to be a beta distribution. True or false?
A pharmaceutical company is running trials on a new test for anabolic steroids. The company uses the test on 400 athletes known to be using steroids and 200 athletes known not to be using steroids. Of those using steroids, the new test is positive for 375 and negative for 25. Of those not using steroids, the test is positive for 25 and negative for 175. What is the relative frequency of a false negative result (the probability that an athlete using steroids will test negative)? (Round your answer to two decimal places.) What is the relative frequency of a false positive result (the probability that an athlete not using steroids will test positive)? (Round your answer to two decimal places.)
A survey showed that 79% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 15 adults are randomly selected, find the probability that at least 14 of them need correction for their eyesight. Is 14 a significantly high number of adults requiring eyesight correction? The probability that at least 14 of the 15 adults require eyesight correction is nothing. (Round to three decimal places as needed.)
The Physicians' Foundation reported that almost 50% of all general practice physicians in the United States do not recommend medicine as a career. Let x represent the number of sampled general practice physicians who do not recommend medicine as a career. Consider a random sample of 12 physicans. Find the probability that exactly 6 of them do not recommend medicine as a career.

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