Consider a binomial distribution with 12 trials. Look at a binomial probability distribution table showing binomial probabilities for various values of p, the probability of success on a single trial. (a) For what value of p is the distribution symmetric? p = What is the expected value of this distribution? Is the distribution centered over the value? Yes or No

Consider a binomial distribution with 12 trials. Look at a binomial probability distribution table showing binomial probabilities for various values of p, the probability of success on a single trial. (a) For what value of p is the distribution symmetric? p = What is the expected value of this distribution? Is the distribution centered over the value? Yes or No

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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Consider the distribution table below x 5 10 15 20 P ( X = x ) 0.5 0.2 0.2 0.2 Then Answer options: The standard deviation of X is 5.025 The variance of X is 25.25 The expected value of X is 11.5 None of the choices, the table cannot be a probability distribution table.
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You are about to start playing matches of a video game, but you cannot play all night because you must study for your exam tomorrow. Suppose the probability of winning each match with probability 0.8 and the outcome of each match is independent. You tell yourself that you will stop playing and start studying after losing 3 matches. What is the probability that you play at most 10 matches? Hint: Use the negative binomial distribution. You need to define a random variable.
Assume that the normal distribution can be used to approximate the following binomial distribution question. A survey of adults found that 6% say their favorite sport is auto racing. You randomly select 400 adults and ask them to name their favorite sport. Complete parts (a) and (b). (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 30. (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 33. (Round to four decimal places as needed.)
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There is small parking lot behind a Floral Shop that has two parking lot spaces. Let X be the number of cars parked in the parking lot at midday. The probability distribution of X is given by ?(? = ?) = 4 − ? ? = 0,1,2 9 (i) Construct the probability distribution table (ii) What is the probability that there will be at most 1 car in the parking lot? (iii) Calculate the expected number of cars in the parking lot at midday
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Two chips are drawn at random from a bowl containing 2 white and 3 red chips. Let ?=X=the number of red chips drawn. (a) Write down the probability distribution for ?X. (b) What is the expected value of ?X? (c) Compute the standard deviation of ?X.
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A random sample statistic will have a probability distribution that is its sampling distribution True False
32% of working mothers do not have enough money to cover their health insurance deductibles. You randomly select six working mothers and ask them whether they have enough money to cover their health insurance deductibles. The random variable represents the number of working mothers who do not have enough money to cover their health insurance deductibles. Complete parts (a) (a) Construct a binomial distribution using n=6 and p=0.32. x P(x) 0 1 2 3 4 5 6 (Round to the nearest thousandth as needed.)