Option(B): Yes, because the probabilities sum to 1 and are all between 0 and 1, inclusive.
>> ΣP(x) = 0.21+0.28+0.02+0.28+0.21 = 1
And 0 ≤ P(x) ≤ 1 for all x.
the distribution is discrete probably distribution O vo som to fand este
RF R .R2 AAA Vo fand
Question 1 1 pts Normal distribution is Discrete o Continuous Binomial Exponential
Determine whether the distribution is a discrete probability distribution. Oo 0.30 2 3 4 -0.10 0.30 0.25 Is the distribution a discrete probability distribution? Why? Choose the correct answer below. O A. Yes, because the distribution is symmetric. OB. No, because some of the probabilities have values greater than 1 or less than 0. OC. Yes, because the probabilities sum to 1 and are all between 0 and 1, inclusive. O D. No, because the total probability is not equal...
2. Let A4, be the discrete uniforin on (1/20,2/29,3/2, in distribution to a Uniform(0,1). o 1)/, 2"/") Prove that X, converges This shows how to approximate a uniform distribution using coin tosses (how?!).
O GRAPHS AND FUNCTIONS Composition of a function with itself Suppose that the functions fand g are defined as follows. f(x)--, x#0 g(x)-x2-9 Find the compositions f fand g'g. Simplify. your answers as much as possible. Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the doma Explanation Check
Determine the required value of the missing probability to make the distribution a discrete probability distribution. W X 3 O A P(x) 0.27 ? 0.34 0.15 5 6 P(4) = (Type an integer or a decimal.)
. Identify the given item as probability distribution, continuous random variable, or (I poin discrete random variable. The number of oranges purchased in a grocery store. O Probability Distribution O Continuous Random Variable O Discrete Random Variable
1. What is discrete probability distribution? 2. What conditions must be satisfied in a discrete probability distribution 3. A discrete probability distribution assigns probabilities to individual values. To what are probabilities assigned in continuous probability distributions.
Suppose that X has a discrete uniform distribution on the integers O through 9. Determine the mean, variance, and standard deviation of the random variable Y 6X. The mean is The variance is Round your answer to one decimal place (e.g. 98.7).] [Round your answer to two decimal places (e.g. 98.76).] The standard deviation is [Round your answer to two decimal places (e.g. 98.76).]
3. Let X and Y have a discrete joint distribution with Table 1: Joint discrete distribution of X and Y Values of Y -1 0 1 Values of X -1 1 į 0 1 1 0 -600-100 Then, find the following: • the marginal distribution of X; [2 points) • the marginal distribution of Y; [2 points] the conditional distribution of X given Y = -1; [2 points] Are X and Y are independent? Discuss with proper justification. (3 points)...