ause t shift alt 1 ctri end 6. In the following distribution, P(X < 2) 0.35,...
2. In the following distribution, P(X< 2) = 0.35, and expected value is 1.8 X 0 1 2 3 4 P(X) 0.15 27? 0.4 222 777 a. Use the fact that P(X<2) -0.35 to find the value of P(x - 1) b. Use the fact that the total probability is equal to 1 to create a formula for P(X= 3) in terms of P(X-4). c. Use the fact that the expected value is 1.8 (along with your answer from Part...
2. Let X be a discrete random variable with the probability function given by f(2) k(x2 – 2x) + 0.2 for x = 0,1, 2, 3. (Note: all answers to the questions below must be fully evaluated.] (a) Find the value of k. (b) Find f(1.38) and F(1.38). 3. According to government data, 25% of employed women have never been married. If 20 employed women are selected at random, what is the probability that two or fewer of them have...
Determine whether the table represents a discrete probability distribution. x P(x) 5 0.45 6 0.35 7 0.35 8 0.35
Part III – Probability and Statistics Each question is worth 4 points. 1. Consider the following experiment and events: two fair coins are tossed, E is the event "the coins match”, and F is the event “at least one coin is Heads”. (a) Find the probabilities P(E), P(F), P(EUF), and P(En F). (b) Are the events and F independent? Explain. 2. Let X be a discrete random variable with the probability function given by f(2) k(x2 – 2x) + 0.2...
You are given the probability distribution below: x 0 1 2 3 4 p(x) 0.05 0.35 0.25 0.20 0.15 Determine the standard deviation of X. Report your answer to three decimal places.
A discrete probability distribution differs from a continuous probability distribution, by only taking values on a discrete set (like the whole numbers) instead of a continuous set. The geometric distribution is a discrete probability distribution which measures the number of times an experiment must be repeated before a success occurs. For example, in this problem, we will roll a fair six-sided die until the number six occurs, at which point we stop rolling. (a) If we are rolling a die,...
2.1 Let X be a discrete random variable with the following probability distribution Xi 0 2 4 6 7 P(X = xi) 0.15 0.2 0.1 0.25 0.3 a) find P(X = 2 given that X < 5) b) if Y = (2 - X)2 , i. Construct the probability distribution of Y. ii. Find the expected value of Y iii. Find the variance of Y
Let X be a random variable with the following probability distribution: Value x of X P( xx) 0.40 5 0.05 6 0.10 0.35 В 4 7 0.10 Find the expectation E(X) and variance Var (x) of X. (If necessary, consult a list of formulas.) х 5 2
The probability distribution of x is represented by the following table x 1 2 3 4 5 6 p(x) 0.04 ?? 0.20 0.41 0.13 0.12 a. What is the value of p(x)=2: b. What is the value of p(3 ≤ x ≤ 6): c. If this table represents the number of falls your patients have sustained in the past year, what is the probability that your patient has fallen 5 times? d. If this table represents the number of falls...
Consider a random variable X with the following probability distribution: p(x)-0.05x. for x the the expected value of Y-6X-7 2, 3, 4, 5, or 6 Find