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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Suppose you model a game of chance with a discrete probability distribution. Let X be the net amount of money or lost by the player. Let pX be the probability of the corresponding outcome. The three events are as follows: There is a 23% chance the player wins 7 dollars. there is a 38% chance the player loses 4 dollars. there is a 39% chance the player breaks even. COMPLETE THE TABLE BELOW TO MODEL THE SCENARIO X PX)
Your son is a teacher in a state university. As per her class rule, the probability of not getting an additional points for a major examination is 2/3. If there are three engineering students to be selected at random, evaluate the probability that at least one of them gets additional points.
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?
Suppose a certain breed of piglets have a sex-ratio of 0.54 (that is the probability of male piglets). If 5 piglets were born, what is the probability that 3 of them are male?
Who derives the equation of the normal probability distribution function? a. Abraham de Moivre b. Karl Friedrich Gauss c. Pierre Simon de Laplace
Consider X is a random variable and has equal probability of being -1,0,+1. What is the correlation between X and Y while Y=X*X.
Vehicles pass through a junction on a busy road at an average rate of 200 per hour. Determine the following: 1. The probability that less than 50 vehicles will pass through the junction in the next 30 minutes. 2. The probability that more than 200 will pass through the junction in the next 30 minutes.
You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately σ=35.3σ=35.3 dollars. You would like to be 90% confident that your estimate is within 1 dollar(s) of average spending on the birthday parties. How many parents do you have to sample?
A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 88% of the time if the person has the virus (true positive) and 13% of the time if the person does not have the virus (false positive) Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. a. Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. b. Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.
4. A large insurance company indicates that 78% of the policy holders have at least one health issues and 22% do not health issues. Let Y1 be a random variable defined as Yı = 0, if the policy holder does not have any health issues; Yı = 1, if the if the policy holder have health issues. Write the probability distribution of Y1, E(Y1) and Var(Y1).
In a specific type of electronic card, the probability of a transistor being defective is 0.01. Let's assume there are 200 transistors on the electronic card. If there are no defective transistors, the electronic card is considered to be functioning. What is the probability of any electronic card not functioning?
Suppose that the five original Skittles colors are produced in equal quantities. Let p = the proportion of Skittles that are yellow. Then p = 0.2. An Elementary Statistics class will take a random sample of 500 Skittles. Find the probability that the obtained p will be greater than 0.25.

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