Let X be a binomial(5, 0.2) random variable. Let Y be a discrete random variable that is independent of X, such that Y = 1 with probability 0.2 and Y = 0 with probability 0.8. What is the probability that the sum of X and Y is less than or equal to 3?
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1. A Binomial random variable is an example of a, a continuous random variable b. a discrete random variable. c. a Binomial random variable is neither continuous nor discrete d. a Binomial random variable can be both continuous and discrete. Consider the following probability distribution where random variable X denotes the number of cups of coffee a random individual drinks in the morning P(x) 0.350 .400 .14 0.07 0.03 0.01 pe a. Compute the probability that a random individual drinks...
A) Let X be a discrete random variable that follows a binomial distribution with n = 20 and probability of success p = 0.16. What is P(X≤2)? Round your response to at least 3 decimal places. B)A baseball player has a 60% chance of hitting the ball each time at bat, with succesive times at bat being independent. Calculate the probability that he gets at least 2 hits in 11 times at bat. Answer to 3 decimals please. C) A...
Let N be a binomial random variable with n = 2 trials and success probability p = 0.5. Let X and Y be uniform random variables on [0, 1] and that X, Y, N are mutually independent. Find the probability density function for Z = NXY.
Let a random variable X be uniformly distributed between −1 and 2. Let another random variable Y be normally distributed with mean −8 and standard deviation 3. Also, let V = 22+X and W = 13+X −2Y . (a) Is X discrete or continuous? Draw and explain. (b) Is Y discrete or continuous? Draw and explain. (c) Find the following probabilities. (i) The probability that X is less than 2. (ii) P(X > 0) (iii) P(Y > −11) (iv) P...
1. Choose the correct answer. Which continuous random variable is equivalent to a binomial discrete random variable? Gaussian random variable Uniform random variable Exponential random variable None of the above Suppose that the GPA average of students is 3.0. Assuming a Gaussian distribution, what is the probability that a student selected at random has a GPA less than 3.0? 0.5 0 1 Cannot be determined For a continuous random variable X, P[X=x]>0. P[X=x]=0. P[X=x]=F_X (x). P[X=x]<F_X (x).
4. Consider a binomial random variable with n = 5 and p = 0.7. Let x be the number of successes in the sample. Evaluate the probability. (Round your answer to three decimal places.) 5. Let x be a binomial random variable with n = 8, p = 0.2. Find the following value. 6. Let x be a binomial random variable with n = 8, p = 0.3. Find the following value. (Round your answer to three decimal places.)
Let x be a discrete random variable that possesses a binomial distribution. Using the binomial formula, find the following probability. P(x = 5) for n = 6 and p = 0.4 Round your answer to four decimal places. P(x = 5) = the absolute tolerance is +/-0.0001
Let X be a discrete random variable that follows a binomial distribution with n = 11 and probability of success p = 0.31. What is P(X=2)? Round your response to at least 3 decimal places.
Let X be a discrete random variable that possesses a binomial distribution. Using the binomial formula, find the following probability. P(x=2) for n=4 and p= 0.4 round your answer to four decimal places. P(x=2) =
The moment generating function ф(t) of random variable X is defined for all values of t by et*p(x), if X is discrete e f (x)dx, if X is continus (a) Find the moment generating function of a Binomial random variable X with parameters n (the total number of trials) and p (the probability of success). (b) If X and Y are independent Binomial random variables with parameters (n1 p) and (n2, p), respectively, then what is the distribution of X...