Find the expected value of the random variable below | Probability | Scores ||--------------|--------|| 0.2 | 2 || 0.05 | 3 || 0.1 | 6 || 0.25 | 9 || 0.15 | 10 || 0.25 | 12 |**Explanation of Table:**This table represents the distribution of scores with their corresponding probabilities. Each score has a specific likelihood (expressed as a probability) of occurrence. For example, the probability of achieving a score of 9 or 12 is 0.25, while the probability of achieving a score of 3 is 0.05. The sum of all probabilities is expected to be 1, representing the entire possible outcome space.

Answered: Image /qna-images/answer/7e563eab-1a42-45cf-8077-ae9368a4ee28.jpg

Answered: Probability Scores 0.2 0.05 0.1 6. 0.25…

Math

Calculus

Probability Scores 0.2 0.05 0.1 6. 0.25 0.15 10 0.25 12 23 9,

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

Explain what it means for two random variables to be independent, both mathematically and in layman’s terms. If we assume two random variables are independent, what does it allow us to simplify?
Let a be a random variable representing the percentage of protein content for early bloom alfalfa hay. The average percentage protein content of such early bloom alfalfa should be u = 17.2%. A farmer's co-op is thinking of buying a large amount of baled hay but suspects that the hay is from a later summer cutting with lower protein content. A small amount of hay was removed from each bale of a random sample of 50 bales. The average protein content from the samples was determined by a local agricultural college to be -15.8% with a sample standard deviation of S = 5.3%- At a = .05, does this hay have lower average protein content than the early bloom alfalfa?
In the airline business, "on-time" flight arrival is important for connecting flights and general customer satisfaction. Is there a difference between summer and winter average on-time flight arrivals? Let x1 be a random variable that represents percentage of on-time arrivals at major airports in the summer. Let x2 be a random variable that represents percentage of on-time arrivals at major airports in the winter. A random sample of n1 = 16 major airports showed that x1 = 74.9%, with s1 = 5.3%. A random sample of n2 = 18 major airports showed that x2 = 70.2%, with s2 = 8.6%. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. (a) Does this information indicate a difference (either way) in the population mean percentage of on-time arrivals for summer compared to winter? Use α = 0.05. (i) What is the…
ABC Manufacturing Company had manufactured a batch that has 600 parts. 30 parts do not conform to client's requirements. If two parts are selected at random, without replacement, from the batch. Let the random variable X equal the number of nonconforming parts in the sample. Determine E(x) and V(x). Upload Choose a File
A pharmaceutical company receives large shipments of ibuprofen tablets and uses this acceptance sampling plan: randomly select and test 29 tablets, then accept the whole batch if there is at most one that doesn't meet the required specifications. If a particular shipment of thousands of ibuprofen tablets actually has a 1% rate of defects, what is the probability that this whole shipment will be accepted?P(accept shipment) =
What is E(T) where is a T random variable with 17 degrees of freedom?
For a Poisson random variable, what is the relationship between its parameter and its mean?
1. A bank operates a drive-up and walk-up window. Let X = the proportion of the time the drive-up facility is in use and let Y = the proportion of the time the walk-up window is in use. Suppose the operations manager uses the following distribution as the joint pdf based on his historical data: f(x, y) = 5 - 1/2(x + y²) if 0 (x + y²) if 0 ≤ x ≤ 1 and 0 ≤ y ≤1 otherwise (a) Find the marginal pdf for X, fx(x). (b) Find the marginal pdf for Y, fy(y).
A fair coin is flipped 100 times. The random variable X= number of heads out of the 100 tosses. What is the expected value of X?
Two coins are selected at random from a pocket that contains 1 nickel and 4 quarters. Let the random variable X equal the total value (in cents) of the 2 selected coins. Note: Use 5, 10 or 25 as the values of the coins -- not 0.05, 0.10 or 0.25. Find the expected value of X.
Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about u = 28 ml/kgt. Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 31 26 43 37 32 38 29 Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and o = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from u = 28 ml/kg? Use a 0.01 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 28 ml/kg; H,: µ > 28 ml/kg; right-tailed O Ho: H = 28 ml/kg; H,: u < 28 ml/kg; left-tailed O Họ: H + 28 ml/kg; H,: µ = 28 ml/kg; two-tailed O Ho: H = 28 ml/kg; H,: µ + 28 ml/kg; two-tailed (b) What sampling distribution will you…
Practice Exercise Classify the following random variables as discrete or continuous. The number of detective ( facturer Paen ve The weight of nowherne soon in a hospital The number ofe ngs in a family of a region 4. The amount of paint utilized in a building project 5. The number of dropouts in a school district for a period of 10 years 6. The speed of a car 7. The number of female athletes 8. The time needed to finish the test 9. The amount of sugar in a cup of coffee 10. The number of people who are playing LOTTO each day