Suppose X is a discrete random variable whose probability distribution function f(x) is given by the following table. 0 1 2 3 3 T 10 10 10 10 What is the probability that X lies within 1 standard deviation of its mean? x -2 -1 f(x) 10 Round to 4 decimal places if needed.
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- The random variable X has the probability distribution given in the following table. 1 2 3 4 5 P(X = x) 0.03 0.27 where a, b and e are constants. It is given that E(X) = 3.5 and Var(X) = 1.17. Find the values of a, b and c.Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. x P(x) 0 0.028 1 0.152 2 0.320 3 0.320 4 0.152 5 0.0282. Let X be a random variable with the following probability distribution: -3 6 F(x) | 1/6 1/2 1/3 Find o?gox for the function g(X) = 3x² + 4.
- A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. X P(x) - 0.095 1 0.348 2 0.391 3 0.166 A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. C. No, the random variable x's number values are not associated with probabilities. D. No, not every probability is between 0 and 1 inclusive. E. No, the random variable x is categorical instead of numerical. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. adult(s) (Round to one decimal place as needed.) B. The table does not show a…Suppose that the random variable z, shown below, represents the number times . P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. 56 I P(x) 0 0.3028 1 0.2745 2 0.2629 3 0.0889 4 0.0406 0.0303 6+ 0.0000 a) What is the probability that a randomly selected person has received one tickets in a three-year period? P(x = 1) = 0.2745 b) What is the probability that a randomly selected person has received five tickets in a three-year period? P(r = 5) = 0.0303 c) What is the probability that that a randomly selected person has received more than two tickets in a three-year period? P(x > 2) 0.1598 d) What is the probability that that a randomly selected person has received five or less tickets in a three- year period? P(x < 5) = 1solve the following
- Q4: The probability mass function of a discrete random variable X is given by the following table: X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance. 4- Standard deviation.The life of a semiconductor laser at a constant Power is normally distributeel with mean of 488 hours and a standard devication of 208 haurs what is the Probability that a laser life excceeds 588 hours 2 1iwhat is the Probability that a laser life fails before 418 hours? 1il:what is the life in hours that 95% of the laserrs exceed?Let x be a Poisson random variable. Calculate the probability distribution of x for the given 2. Find the mean, variance, and standard deviation. Draw a graph of this probability distribution. 2 = 2.1 Round the probability to four decimal places and the standard deviation to three decimal places. P(x = 2) = i Mean = i Variance = i Standard deviation = i P(x) P(x) 0.25 0.8 0.20 0.6 0.15 04 0.10 0.2 0.05 O1 2 3 4 O1 2 3 4 567S 10 10 Fig. 1 Fig. 2 P(x) P(x) 0.35E 0.30 0.15 0.25 0.20 0.1아 0.15 0.10 0.05 0.05 O 1 23 4 56TS 9 10 10 Fig. 3 Fig. 4 Input the number of the correct graph.
- Suppose that the random variable x, shown below, represents the number times . P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. 19 a| P(x) 0 0.2749 Rectangular Snip 1 0.2522 2 0.2511 3 0.1494 4 0.0455 0.0269 6+ 0.0000 a) What is the probability that a randomly selected person has received two tickets in a three-year period? P(x = 2) %3D b) What is the probability that a randomly selected person has received four tickets in a three-year period? P(x = 4) c) What is the probability that that a randomly selected person has received more than five tickets in a three-year period? P(x > 5) = d) What is the probability that that a randomly selected person has received three or less tickets in a three-year period? P(x < 3)Is this a legitimate probability distribution? P(x) = (2x - 1)/15 x = 0, 1, 2, 3, 4Q4: Let X be a discrete random variable with probability mass function given in the following table: 2 P(X) с 2C 3C 3C SC Find 1- Value of C. 2-Probability mass function describing the distribution of X. 3- Cumulative distribution function. 4- Mean and variance. 5- Standard deviation.