Consider tossing a die and a “success” is getting a 3 or a 6. By writing out the binomial distribution formula, express the probability that in 500 tosses of a die, you see 200 successes. You need not evaluate the expression.
Answer:
Given,
p = 2/6
= 1/3
q = 1 - 1/3
= 2/3
sample n = 500
r = 200
Binomial distribution P(X = r) = nCr*p^r*q^(n-r)
Probability = 500C200*(1/3)^200*(2/3)^300
Consider tossing a die and a “success” is getting a 3 or a 6. By writing...
I NEED HELP ASAP. THANK YOU
Consider rolling a fair die thrice and tossing a fair coin sixteen times. Assume that all the tosses and rolls are independent. and the chance that the total The chance that the total number of heads in all the coin tosses equals 12 is (Q3) number of spots showing in all the die rolls equals 12 is (Q4) The number of heads in all the tosses of the coin plus the total number of...
Question 3 Consider a binomial distribution with a success probability of p = 0.65 and repeated 100 times. What is the normal distribution that approximates this binomial distribution? Use the approximation to find the probability that the number of successes is between 60 and 70 in the 100 repetitions. Next consider the same binomial distribution except that it is repeated 1,000 times. What is the normal distribution that approximates this binomial distribution with 1,000 repetitions? Use the approximation to find...
A die is rolled 3 times, and success is rolling a 1. (a) Construct the binomial distribution that describes this experiment, with x indicating the number of successes. (Enter your probabilities as fractions.) (b) Find the mean of this distribution. (Enter an exact number as an integer, fraction, or decimal.) (c) Find the standard deviation of this distribution. (Round your answer to three decimal places.)
Negative Binomial experiment is based on sequences of Bernoulli trials with probability of success p. Let x+m be the number of trials to achieve m successes, and then x has a negative binomial distribution. In summary, negative binomial distribution has the following properties Each trial can result in just two possible outcomes. One is called a success and the other is called a failure. The trials are independent The probability of success, denoted by p, is the...
Consider a binomial distribution with n = 10 trials and the probability of success on a single trial p = 0.75. (a) Is the distribution skewed left, skewed right, or symmetric? (b) Compute the expected number of successes in 10 trials. (c) Given the high probability of success p on a single trial, would you expect P(r ≤ 2) to be very high or very low? Explain. (d) Given the high probability of success p on a single trial, would...
dont understand
0 A binomial experiment consists of 500 trials. The probability of success for each tills 0.5 What is the probability of obtaining 240-270 successes? Approximate the probability using a normal distribution (This binomial experiment easily passes the rule of thumb test for approximating a binomial distribution using a normal distribution, as you can check When computing the probability, adjust the given interval by extending the range by 05 on each side) Click the icon to view the area...
Heed help with c only.
(1 point) You are to roll a fair die n = 108 times, each time observing if the topside of the die shows a 6 (success) or not (failure). After observing the n = 108 tosses, you are to count the number of times the topside showed a 6. This count is represented by the random variable X. A. with a mean 18 and a standard deviation 3.87 !! . (a) The distribution of X...
The success average of a hockey player is the number of “points
scored” divided by the number of “shots on goal.” Recently, a
certain professional league player’s shots on goal and
corresponding points scored were recorded for 400 consecutive
games. The consecutive games span more than one season. Since each
game is different, the number of shots and points scored both vary.
For this particular player, there were from 0 to 15 shots. Thus,
one can sort the more than...
Consider a binomial probability distribution, it is unusual for the number of successes to be less than__________ or greater than____________. a. Fill in the blanks above. b. For a binomial experiment with 100 trials for which the probability of success on a single trial is 0.2, is it unusual to have more than five successes? Show all work and explain. c. If you were simply guessing on a multiple-choice exam consisting of 6 questions with 3 possible responses for each...
a) Consider the following data on a variable that has Bernoulli distribution: X P (X) 0 0.3 1 0.7 Find the Expected value and the variance of X. And E(X)-X Px) b) Consider the following information for a binomial distribution: N number of trials or experiments 5 x- number of success 3 Probability of success p 0.4 and probability of failure 1-p 0.6 Find the probability of 3 successes out of 5 trials: Note P(x) Nox p* (1-p)Note: NcN!x! (N-x)!...