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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Of all 3- to 5-year-old children, 56% are enrolled in school. If a sample of 500 such children is randomly selected, find the probability that the sample proportion of students who are enrolled in school is greater than 0.5.
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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.)
Who derives the equation of the normal probability distribution function? a. Abraham de Moivre b. Karl Friedrich Gauss c. Pierre Simon de Laplace
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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?
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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.)

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