1. Given the probability distribution of a discrete random variable x below, find P(X = 7).!3!56.8.POX)5.14363636362. Given the probability distribution of a discrete random variable X below, find P(X 2 8).7810120.090.230.140.290.253. Given the probability distribution of a discrete random variable X below, find P(X < 7).50.130.060.220.34

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Answered: 1. Given the probability distribution…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 14 18 15 19 13 11 15 18 15 12 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) X = S = (ii) Does this information indicate that the population average HC for this patient is higher than 14? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. О Но: и 3D 14;B Hі: и 14; Hі: и %3D 14 Но: и 14 О Но: и 3D 14;B Hi: и # 14 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution and o is…
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10. The number of students who fail per semester is often modeled as a Poisson random variable. Assume that on the average there are 6 students who fail per sem. d. If exponential distribution can model this system, what is the probability that there will be no failing students right after midterm? Let X denote the time in semesters from the start of the interval until the first failure and that a semester is divided by midterm period.e. Calculate the probability that there will be a failing student within the first semester.f. Calculate the probability that a failing student will be first spotted after midterm up to end of the first semester?
-4 2 pl 2 3 | 4 1 Let Xbe a random variable with the following probability distribution. 9. Find the mean of the discrete random variable X. C. -0.03 A. -0.02 B. -0.20 D. -0.30 10. What is a? A. 3.94 C. 3.96 B. 3.95 D. 3.97
Choose an American household at random and let the random variable ?X be the number of cars (including SUVs and light trucks) they own. Given is the probability distribution if we ignore the few households that own more than 5 cars. Number of cars 0 1 2 3 4 5 Probability 0.09 0.36 0.35 0.13 0.05 0.02 About what percentage of households have a number of cars within 2 standard deviations of the mean?
1. Consider the following probability distribution for the continuous random variable, X. 1 حا 4 5 X a. Find P(2 < X<4) (4-2) 4-10.9= 0.5 b. Find P(4 < X <5) 50.25 6= 0.25 c. Find P(X<4) -3.0
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Suppose Y is normally distributed with mean = -3 and variance equal to 4. Find the probability that Y is less than or equal to -0.3. Hint, you must standardize the random variable. 0.9115 0.4602 0.5832 0.1
1. A random variable x has the following distribution. Find the following: a. Missing entry for p(7) b. P(1< x <=4) c. P(3<= x <= 7) d. P(x>2) Using this table find the answers x 1 2 3 4 5 6 7 8 p(x) 0.05 0.10 0.20 0.05 0.10 0.20 0.10
Please answer 9-11
I. TRUE OR FALSE. Choose A if the statement is always true, otherwise choose B. 1. The sum of the probabilities of all values of the random variable must be equal to 1. 2. The capacity of water dams in a region is an example of continuous random variable. 3. The formula u = is used to compute for the mean of a probability distribution. IxF(x) 4. A standard normal curve is a normal probability distribution that has a mean of one and standard deviation of one 5. The width of the curve in normal distribution is determined by the mean of the distribution. 6. The mean of the sampling distribution of the sample means is less than the population mean. 7. The standard error of the mean is the standard deviation of the sampling distribution of the sample means. 8. The sampling variability of the sample means becomes smaller as the sample size n gets larger. 9. In estimating the mean, the degrees of freedom is equal to (n - 1) when using the t- distribution. 10. The t-distribution is asymmetric…
• Investment in 5 Internet business ventures • The number of successful ventures has a probability distribution: x 0 1 2 3 4 5 P(x) .002 .029 .132 .309 .360 .168 • Estimate the probability that x falls within 2 standard deviations of the mean.

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