2. A random number generator produces sequences of independent digits,each of which is as likely to be any digit from 0 to 9 as any other. If X denotesany single digit, find the mean or expected value of the probability distribution.3. A player draws a card at random from a standard deck of 52 cards. If thecard drawn is red, the player wins P500 but if it is black, he loses P250. Find theexpected value of the game.

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Answered: 2. A random number generator produces…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A family has two children. If the genders of these children are listed in the order they are born, there are four possible outcomes: BB, BG, GB, and GG. Assume these outcomes are equally likely. Let X represent the number of children that are girls. Find the probability distribution of X (a) Find the number of possible values for the random variable X .There are possible values for the random variable X .
A box contain 4 numbers: 1, 2, 4, 8 Two draws will be made, without replacement. Let the random variable X be the largest value drawn divided by the SQUARE of the smallest value drawn. Hint: if I were to draw the 8 and the 2, I take the largest draw (8) and divide by the square of the smallest draw (22 or 4) which yields 2. Hence, a possible value for X is 2. The following is the probability distribution of X Value of X ? 1 2 4 8 Probability 1/6 1/6 ? 1/6 1/6 What is the missing value of x? A) 0.25 B) 0 C) 0.5 D) 0.75 E) 16
Suppose that it is known that in a certain large population, 10 percent of the population is color blind. If a random sample of 25 people is drawn from the population, find the probability that exactly 8 of them are color blind.
number 28 The following data shows the price of a certain stock over the last 8 months. Month Price 1 2.10 2 1.98 3 2.01 4 1.89 5 1.90 6 1.89 7 1.72 8 1.65 (a) Develop a scatter diagram and draw a trend line through the points. A graph has a horizontal axis labeled "Month" with values from 0 to 10 and a vertical axis labeled "Price" with values from 0 to 2.5. The scatter diagram has 8 points. A line goes through the center of the pattern of points. A pattern goes down and right becoming more steep from (1, 1.7) to (8, 1.25). A graph has a horizontal axis labeled "Month" with values from 0 to 10 and a vertical axis labeled "Price" with values from 0 to 2.5. The scatter diagram has 8 points. A line goes through the center of the pattern of points. A pattern goes down and right from (1, 2.1) to (8, 1.65). A graph has a horizontal axis labeled "Month" with values from 0 to 10 and a vertical axis labeled "Price" with values from 0 to 2.5. The scatter…
I need help with a, b, c and d.
Suppose there is a 11.9% probability that a randomly selected person aged 35 years or older is a jogger. In addition, there is a 15.9% probability that a randomly selected person aged 35 years or older is female, given that he or she jogs. What is the probability that a randomly selected person aged 35 years or older is female and jogs? Would it be unusual to randomly select a person aged 35 years or older who is female and jogs? The probability that a randomly selected person aged 35 years or older is female and jogs is (Round to three decimal places as needed.).
American Airlines' flights from Chicago to Dallas are on time 70 % of the time. Suppose 13 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 2 flights are on time is = 2.The probability that at most 4 flights are on time is = 3.The probability that exactly 6 flights are on time is =
A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions re- quired to gain the patient's trust. The following probability function has been proposed. f(x) = for x = 1, 2, or 3 6. Is this probability function valid? Explain. b. What is the probability that it takes exactly two sessions to gain the patient's trust? с. What is the probability that it takes at least two sessions to gain the patient's trust?
Suppose that 11% of a certain batch of calculators have a defective case, and that 12% have defective batteries. Also, 5% have both a defective case and defective batteries. A calculator is selected from the batch at random. Find the probability that the calculator has a good case and good batteries. The probability that the calculator has a good case and good batteries is (Type an integer or a decimal)
Q5. It was found that a New Brunswick family doctor has on average 14 patients calling in for anappointment they say they need to have on that very day during a standard 10 hour work day.Using the tables(a) What is the probability that a New Brunswick family doctor has more than 20 patientscalling in for an appointment they say they need to have on that very day during a standard10 hour work day?(b) What is the probability that a New Brunswick family doctor has more than 2 patientscalling in for an appointment they say they need to have on that very day during the nexthour?(c) What is the probability that a New Brunswick family doctor has 7 or less 20 patientscalling in for an appointment they say they need to have on that very day during the next3 hours?(d) For this situation, determine the probabilities of being within 1, 2 an d 3 standard deviations for the mean and compare these results to the empirical rule

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2. A random number generator produces sequences of independent digits, each of which is as likely to be any digit from 0 to 9 as any other. If X denotes any single digit, find the mean or expected value of the probability distribution.