A2 The sample space of an experiment is S={0,1,2.5,6}. All sample space elements have equal probability of occurrence. A random variable is defined as X=S+1. The mean value of random variable X is? A- 4.75 B- 2.5 C- 1.25 D- 3.38
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- The sample space of an experiment is {A, B, C}. Find the probability of each outcome if P(A) = P(B) and P(C) = 2P(A)Three students scheduled interviews for summer employment at the Tiket.com. In each case the interview results in either an offer for a position or no offer. Experimental outcomes are defined in terms of the results of the three interviews.a. List the experimental outcomes.b. Define a random variable that represents the number of offers made. Is the random variable continuous?c. Show the value of the random variable for each of the experimental outcomesA test of 100 motor is done to determine the defective motors. The probability that a motor is defective is 0.02. The motors defects are independent random variable. The probability that exactly two motors are defective given that the number of defective motors is two or fewer is: Select one: a. 0.3127 b. 0.5846 c. 0.5364 d. 0.404 e. 0.4773
- What could be the possible values of the random variable below? Number of blood donors in a donation drive x20 x = 1,2, 3,... 05xS 1000 O Not a random variable x 0,1,2, 3,...A variable y of a finite population has the frequency distribution shown in the table. Suppose a member is selected at random from the population and let Y denote the value of the variable y for the member obtained. Complete parts (a) through (d) below. y 3 4 6. f 1 1 11 7 a. Determine the probability distribution of the random variable Y. 3 y P(Y = y) (Type integers or decimals. Do not round.) b. Use random-variable notation to describe the events that Y takes on the value 5, a value less than 5, and a value of at least 5. The event that Y takes on the value 5 can be represented as The event that Y takes on a value less than 5 can be represented as The event that Y takes on a value of at least 5 can be represented as { }. c. Find P(Y = 5), P(Y 5). %3D P(Y = 5) = (Type an integer or a decimal. Do not round.) P(Y<5) = (Type an integer or a decimal. Do not round.) P(Y 2 5) = (Type an integer or a decimal. Do not round.) LOA genetics experiment involves a population of fruit flies consisting of 2 males named Alex and Bart and 2 females named Courtney and Dana. Assume that two fruit flies are randomly selected with replacement. a. After listing the possible samples and finding the proportion of males in each sample, use a table to describe the sampling distribution of the proportion of males. Proportion of males Probability 0 0.5 1 (Type integers or fractions.) b. Find the mean of the sampling distribution. μ= (Round to two decimal places as needed.) c. Is the mean of the sampling distribution [from part (b)] equal to the population proportion of males? If so, does the mean of the sampling distribution of proportions always equal the population proportion? A. Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is a biased estimator. B. No, the sample mean is equal to the population proportion of males. These values are not always equal,…
- II. Supply the table with the corresponding random variable and/or the possible values of the random variable for each experiment. Possible values (x) for the Experiment Random Variable (X) Random Variable Number of customers who 1. Contacting 10 customers 0, 1, 2, 3, 4,5 placed a complaint 2. Inspection of shipment of 100 laptops 3. Filling a bottle of water (maximum of 500 mL) 0, 1,2, .,99, 100 0sxs 500 The temperature when the desired reaction takes place (minimum of 40°C; maximum of 90* C) 4. Testing of new chemical process 5. Selling an automobile O if male; 1 if femaleConsider a game of rolling a single die, with the outcome as the random variable X. A player gains $10 if the outcome is {1, 2, 3} and a player loses $5 if the outcome is (4, 5, or 6}. It does not cost anything to play the game. Calculate o. Round to 2 decimal places.A fair coin is tossed three times (consecutively). If X is the number of heads of the first shot and Y is the random variables representing the total number of heads, what is the expected value of Y? calculate.