284Chapter 5 Discrete Probability DistributionsC. All will fail.d. Compare the answers for parts a, b, and c, andexplain why these results are reasonable.17. Find the mean, variance, and standard deviation foreach of the values of n and p when the conditions forthe binomial distribution are met.a. n 100, p = 0.75b. n = 300, p = 0.3с. п%3D20, р 3D 0.5d. n = 10,p =0.8yariance, and standard deviation forfo

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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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x 8 9 10 11 12 Fx) 0.15 0.25 0.29 0.19 0.12 Find the mean Determine the variance Solve for the standard deviation
Mean and Standard Deviation. Assume that the random variable X is normally distributed, with mean =70 and standard deviation =16. Which of the following is the probability that X is less than 90?
If a random variable that follows exponential distribution shows that P(X2000)=0.4, Then P(30002000) is: Select one: a. 0.3535 b. 0.3795 C. 14 0.3098 d. 0.2510 е. 0.3834
K Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n=122, p=0.81 (Round to the nearest tenth as needed.) The mean, μ, is The variance, o², is (Round to the nearest tenth as needed.) The standard deviation, o, is. (Round to the nearest tenth as needed.)
K A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal A. Ho H1 H2 H₁ H₁ H₂ ỌC. Hồ Hi-12 H₁: Hy > H₂ 0 в. Но 141=12 H₁ H₁ H₂ O D. Ho 11 #₂2 H₁ H1 H₂ The test statistic, t, is (Round to two decimal places as needed) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. Proctored Nonproctored H 144 n 34 CIXS 77.58 11.08 12 31 81.91 21.24 A. Reject Ho There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. OB. Fail to reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. C. Fail to reject Ho. There is not sufficient evidence to support the…
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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…
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QI: Let x be random variable with the following (p.d.f): x20 f(x) = 0. W Find: 1. The constant C? 2. The c.d.f ? 3. P(10 f(x) = O. W 1. Write the moment generating function for X ? 2. Use this moment generating function to compute the first and second moments of X ? Q3: Suppose the (p.m.f) f the random variable X is 3 f(x) 0.2 0.1 0.4 0.3 Find: 1. The V(x)? 2. The E(4x) ? 3. The E(3x+2x)? Q4: Find the V(x) by using the mgf of the random variable x that has the pmf equal to 0.5 for x=-2 and x= 2 ? Q5: If X be random variable such that E[(X - 1)1 = 10, E[(X - 2)21 = 6, find V(x)? Q6: Given that has the following (p.m.f): f(x) = ;x = 0,1, 2, 3 Find the moment-generating function of this random variable and use it to calculate V(x) ? 07: Let x be random variable with the following (p.d.f): f(x) = 0. W Such that P(x < M (0)) Compute the value of b? %3D
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