[Q4] The probability distribution for the discrete random variable X is described in the following table. Find (a) P(X < 0.35), (b) P(0.1 < X < 0.5). 0.1 0.2 0.3 0.4 0.5 0.6 P(X) 0.11 0.14 0.15 0.18 0.23 0.19
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![[Q4] The probability distribution for the discrete random variable X is described in the following
table. Find (a) P(X <0.35), (b) P(0.1 < X < 0.5).
0.1
0.2
0.3
0.4
0.5
0.6
P(X)
0.11
0.14
0.15
0.18
0.23
0.19](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87ac0033-20c3-41ea-8a7e-f5ad691cddd9%2Ff6523761-e482-4075-89cf-ce34c28c672c%2Fyxhvfu9_processed.jpeg&w=3840&q=75)
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- The cumulative distribution function of a continuous random variable X is given as Choices: A. 0.4 B. 0.5 C. 0.6 D. 0.7 E. 0.8 F. 0.9 G. Other:The joint probability distribution of the number X of cars and the number Y of buses per signal cycle at a proposed left-turn lane is displayed in the accompanying joint probability table. P(x, y) 1 2 0.015 0.010 0.025 1 0.030 0.020 0.050 2 0.075 0.050 0.125 3 0.090 0.060 0.150 0.060 0.040 0.100 0.030 0.020 0.050 What is the probability that there is exactly one car and exactly one bus during a cycle? What is the probability that there is at most one car and at most one bus during a cycle? What is the probability that there is exactly one car during a cycle? Exactly one bus? P(exactly one car) = P(exactly one bus) = - Suppose the left-turn lane is to have a capacity of five cars and one bus is equivalent to three cars. What is the probability of an overflov during a cycle?In the probability distribution to the right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts (a) through (f) below. x P(x) 0 0.1673 1 0.3349 2 0.2867 3 0.1487 4 0.0388 5 0.0236 (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because ▼ all of the probabilities are at least one of the probabilities is between nothing and nothing, inclusive, and the ▼ mean product sum of the probabilities is (Type whole numbers. Use ascending order.)
- Let X be a random variable with the following probability distribution. Value x of X P(X=x) -30 0.05 -20 0.20 -10 0.15 0.20 10 0.40 Complete the following. (If necessary, consult a list of formulas.) |(a) Find the expectation E (X) of X. E (x) = 0 (b) Find the variance Var(X) of X. Var(x) = 0Let X be a random variable with the following probability distribution.Let X be a random variable with the following probability distribution. Value X of X P(X=x) 30 Continue 40 50 60 70 80 0.15 0.25 0.20 0.10 0.15 0.15 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = (b) Find the variance Var(X) of X. Var(x) = 0 O S
- Let X be a random variable with the following probability distribution. Value x of X P(X=x) 2 0.05 3 0.05 4 0.05 5 0.85 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E(X) of X. E (X) = 0 (b) Find the variance Var(X) of X. Var(x) = ☐ Check B X GThe probability distribution of the random variable X is given in the following table. Random variable, x -2 -1 0 1 2 3 P(X = x) 0.10 0.15 0.05 0.20 0.15 0.35 Find the following probabilities. (a) P(X = 0)(b) P(X ≤ 0)(c) P(-1 < X ≤ 4)(d) P(X ≥ 1)In an uncertain economy, Americans tend to keep spending down. Let x be the amount of money U.S. individuals spend on groceries monthly. Suppose the probability distribution of x is a uniform distribution from $300 to $400 which is represented by the picture below. f(x) 0.010 0.008 0.006 0.004 0.002 300 320 340 360 380 400 X i (a) What is the probability that a randomly selected individual spends between $315 and $370 on groceries each month? (b) Determine whether the following statement is true or false. The variable, the amount an individual plans to spend on groceries per month, is a numerical (quantitative) variable. True O False
- Q1A Suppose that the probability of finding defectives within a manufactured lot of electrical fuses is 0.09. Assume the probability distribution function (PDF) is binomial. Let X be the number of defectives within the sample. In a sample of 25 fuses, find the probabilities: (a) P(X 2), (b) P(X > 0), (c) P(1 ≤ X < 4). === B Suppose the discrete random variable X has the PDF as in the table below. Find: (a) F(7), (b) E(4-3X). I 4 6 7 8 9 f(x) 0.2 0.25 0.15 0.3 0.1Which of the given distributions represents a probability distribution? (i) X 1 2 3 4 O only (ii) O only (iii) O only (i) P(x) O (only (i) and (ii) 0.22 O Only (ii) and (iii) 0.36 0.29 0.16 (ii) X 5 6 7 8 P(x) 0.25 -0.22 0.41 0.12 (iii)The following table is a partial probability distribution for the MRA Company's projected profits (x = profit in $1,000s) for the first year of operation (the negative value denotes a loss). x f(x) −100 0.100 0.2050 0.30100 0.25150 0.10200 (a) What is the proper value for f(200)? f(200) = What is your interpretation of this value? This is the ---Select--- percent probability that the MRA will have a $200,000 profit. (b) What is the probability that MRA will be profitable? (c) What is the probability that MRA will make at least $100,000? Please only correct and with concept and dont do handwritten or skip please!!
