Which of the following variables defines a binomial random variable? number of times you get a...
Which of the following variables defines a binomial random variable? number of times you get a green ball when randomly picking 4 times (without replacement) from a box with 100 balls of four colors
Homework Answers
In this instance i.e. "number of times you get a green ball when randomly picking 4 times (without replacement) from a box with 100 balls of four colors" is not a binomial random variable. It could have been a binomial random variable if it could be done "with replacement"
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Which of the following variables defines a binomial random
variable? number of times you get a...
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Consider the following discrete random variables W is the number of times heads is observed when a fair coin is tossed 10 times. X is the number of red balls drawn when 10 balls are drawn without replacement from an urn containing 50 red balls and 30 green balls. Y is the number of hearts received when a 10-card hand is dealt from a standard deck. Z is the number of hearts drawn when 1 card is drawn at random...
Chapter 05, Section 5.4, Problem 029 Select each of the following experiments that are binomial experiments...
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9. The four conditions required for using a Binomial distribution are. (a) A fixed number of...
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A box contains four green balls. We choose balls at random, with replacement, according to the...
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1. Determine whether or not the random variable X is a binomial randon variable. If so...
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Consider the experiment of blindly picking a ball from a box. Let Y be a random...
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Part 2. Random Variables 4. Two independent random variables Xand y are given with their distribution laws 0.3 0.7 0.8...
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An urn contains 6 red, 9 green, and 11 blue balls. The following is repeated 3...
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Exercise 4. Find the probability to get: (a) the number "3" for the 4th time at...
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Chapter 05, Section 5.4, Problem 029 Select each of the following experiments that are binomial experiments Drawing 3 balls without replacement from a box Selecting a few households from New York City and observing whether or not they own stocks when it is known that 4 % of all households in New York City own stocks. Drawing 3 balls with replacement from a box that contains 13 balls, 4 of which are red and 9 are blue, and observing the...
9. The four conditions required for using a Binomial distribution are. (a) A fixed number of trials (n). b) On each trial, there are two possible outcomes, one of which we call a "success" (c) On each trial, P(success) is the same (d) The outcomes of each trial are independent For each of the following decide if the random variable defined (X) is a Binomial variable or not. If it is not a Binomial variable, say which of the four...
1. Determine whether or not the random variable X is a binomial randon variable. If so give the values of n and p. If not, explain why not. a. X is the number of dots on the top face of fair die that is rolled. b. X is the number of hearts in a five-card hand drawn (without replacement) from a well-shuffled ordinary deck c. X is the number of defective parts in a sample of ten randomly selected parts...
Consider the experiment of blindly picking a ball from a box. Let Y be a random variable equal to O when the ball is green, 1 when the ball is red, and 2 when the ball is yellow. There are 50 green balls, 40 red balls, and 10 yellow balls in the box. So that the PrtY-o) 0.50, Pr(Y-1)-0.40, and PrtY-2) 0.10. What is the variance of Y? (Rounded to two decimals.)
Part 2. Random Variables 4. Two independent random variables Xand y are given with their distribution laws 0.3 0.7 0.8 0.2 Pi Find the distribution law and variance for the random variable V-3XY 5. There are 7 white balls and 3 red balls in a box. Balls are taken from the box without return at randomm until one white ball is taken. Construct the distribution law for the number of taken balls. 6. Let X be a continuous random variable...
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