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What is the probability that A date picked at random is February 30?
The probability that a date picked at random is February 30th is zero, as there is no February 30th, even in leap years.
If a bag contains 20 chips labeled with the numbers 1 through 20 and one chip is selected at random. what is the probability that the chip has the number 17 on it?
The probability of selecting a 17 (or any number for that matter) is 1/20 or .05 or 5%.
Is the absolute value of a characteristic function itself a characteristic function?
No, There exists a counter example in the page 244 of the book Grimmett & Stirzaker, One thousand exercises in probability. The example is a Bernoulli random variable with parameter 1/3.
A bag contains 6 purple marbles and 7 white marbles Two marbles are drawn at random One marble is drawn and not replaced Then a second marble is drawn What is the probability that the first marble?
There are 13 marbles in total. The order is specified.P(1st is white and the 2ndis purple) = (7/13)(6/12) = (7/13)(1/2) = 7/26.
Why binomial distribution can be approximated by Poisson distribution?
Only in certain circumstances:The probability of success, p, in each trial must be close to 0.Then, for the random variable, X = number of successes in n trials, the mean is npand the variance is np(1-p). But since p is close to 0, (1-p) is close to 1 and so np(1-p) is close to np.That is, the mean of the distribution is close to its variance. This is a characteristic of the Poisson distribution.Furthermore, the other characteristics of the distribution: constant probability, independence are met so the Binomial can be approximated by the Poisson.It is possible to prove this analytically but the limitations of this browser - especially in terms of mathematical notation - preclude that.Only in certain circumstances:The probability of success, p, in each trial must be close to 0.Then, for the random variable, X = number of successes in n trials, the mean is npand the variance is np(1-p). But since p is close to 0, (1-p) is close to 1 and so np(1-p) is close to np.That is, the mean of the distribution is close to its variance. This is a characteristic of the Poisson distribution.Furthermore, the other characteristics of the distribution: constant probability, independence are met so the Binomial can be approximated by the Poisson.It is possible to prove this analytically but the limitations of this browser - especially in terms of mathematical notation - preclude that.Only in certain circumstances:The probability of success, p, in each trial must be close to 0.Then, for the random variable, X = number of successes in n trials, the mean is npand the variance is np(1-p). But since p is close to 0, (1-p) is close to 1 and so np(1-p) is close to np.That is, the mean of the distribution is close to its variance. This is a characteristic of the Poisson distribution.Furthermore, the other characteristics of the distribution: constant probability, independence are met so the Binomial can be approximated by the Poisson.It is possible to prove this analytically but the limitations of this browser - especially in terms of mathematical notation - preclude that.Only in certain circumstances:The probability of success, p, in each trial must be close to 0.Then, for the random variable, X = number of successes in n trials, the mean is npand the variance is np(1-p). But since p is close to 0, (1-p) is close to 1 and so np(1-p) is close to np.That is, the mean of the distribution is close to its variance. This is a characteristic of the Poisson distribution.Furthermore, the other characteristics of the distribution: constant probability, independence are met so the Binomial can be approximated by the Poisson.It is possible to prove this analytically but the limitations of this browser - especially in terms of mathematical notation - preclude that.
If there are 45 students in a biology class and 23 are girls what is the probability that a student chosen at random will be a boy?
Probability that a girl is chosen = 23/45 = .511 So, the probability that a boy is chosen = 1 - .511 = .489
What if a class of 25 students has 15 girls and boys if one student is chosen at random what is the probability it is a girl?
The probability is 15/25 = 3/5
What is the probability for a student in a dormitory to be selected if 10 percent of the students live in dormitories and a random sample of 100 is selected?
The probability is 10 percent.
In a classroom the students are 11 boys and 1 girl if one student is selected at random find the probability that the student is a girl?
There is only one girl out of 12 students so the probability that the girl is selected is 1/12.
On a math test 5 out of 20 students got an A If three students are chosen at random what is the probability that all three got an A on the test?
P( a student getting an A) = 5/20=1/4 There are 3 students. The probability that all three got an A is (1/4)(1/4)(1/4)=1/64.
If a student is picked at random what is the probability that heshe received an A on hiher final?
If a student is picked at random what is the probability that he/she received an A on his/her fina?
In a classroom the students are 11 boys and 1 girls If one student is selected at random find the probability that the student is a girl?
1/12 =0.08333... ≈ 8.3%
Two students are chosen at random from a class of 30 what is the probability that both you and your best friend are chosen?
The probability of this is based heavily on whether or not said best friend is even in the class. If both are in, it's a 1/870 chance.Ê
What are chosen at random from a standard deck of cards with replacement what is the probability of getting to aces?
"Playing cards" are chosen at random.
How do you find the probability of a random point being chosen in a shaded region in a circle?
The probability of a single point being chosen is 0.The probability of a single point being chosen is 0.The probability of a single point being chosen is 0.The probability of a single point being chosen is 0.
What is the probability that an f2 seed chosen at random will be yellow?
3/4
There are 10 boys and 12 girls in a class if one student is selected at random from the class what is the probability it is a girl?
The probability is the number of girls divided by the number of students, so 12/22, or 6/11
