An experiment has a continuous sample space equal to 15
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QUESTION:
An experiment has a continuous
17), B =(X: 16 <x< 19), find the following:
a) ANB
b) AUB
c) A°
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- K 2) d) Find the value of t and p if P(t t) : = 3) Suppose that X~x²(v) and Y~x²(n). If µx = 6, o²y = 16 and W a) State with parameter(s) the distribution of W. 4X 3Y Ơ V = then6) Suppose the m.g.f. of the r.v. X is given below: MCA) = (uM/ R0) +(45 |no) exp (t) A(20/1201eapreb a) Find the mean and variance of X b) Find P(X>1)The degrees of freedom (df) for the One Sample t test and the Independent Sample t test are _________. a. One Sample t test: N-1 Independent Samples t test: N-1 b. One Sample t test: N Independent Samples t test: N-1 c. One Sample t test: N-1 Independent Samples t test: N-2 d. One Sample t test: N-2 Independent Samples t test: N-1
- find relative efficiency6- The Variance of X, is a) o? b) d) 2A researcher claims that the number of homicide crimes by season is uniformly distributed. To test this claim, you randomly select 1,204 homicides from a recent year and record the season when each happened. The table shows the results. At α = 0.10, test the researcher's claim. ... Ho: The distribution of the number of homicide crimes by season Ha: The distribution of the number of homicide crimes by season Which hypothesis is the claim? Ho Ha Calculate the test statistic. x² = (Round to three decimal places as needed.) Determine the P-value. P-value = (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Ho. There Season Spring Summer Fall Winter enough evidence at the 10% level of significance to reject the claim that the distribution of the number of homicide crimes by season Frequency, f 307 317 297 283
- 11th -The variance of the sample formed by the sample averages of the samples randomly taken from a population with the condition of substitution, with a size of n=100, was found to be 0.01. What is the sample standard error value?a)0.001 B)0.014 NS)0.20 D)0.032 TO)0.10Let A and Bevents in a sample space S such that S = AUB. Suppose that P(A) = 0.3, P(B) = 0.6,and P(AN B) = 0.2. Find P(AU B).Questior Let X; - N(3, 4) and suppose that we are going to observe X = {X1, X2, X3, X4, X5, Xg}. Calculate the sample mean and variance for x = {4.3, 5.8, 4.8, 9.8, -0.4, 7.2}. What is the probability of getting a sample mean at least as extreme (that is, greater than) as what we have here? Is the probability of getting a sample variance at least as extreme as the one we have calculated less than 0.1?
- a) b) c)point) Four buses carrying 157 high school students arrive to Montreal. The buses carry, respectively, 33, 50, 25, and 49 students. One of the studetns is randomly selected. Let X denote the number of students that were on the bus carrying this randomly selected student. One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y: E(X) = Var(X) = E(Y) = Var(Y) =Question 1. Let X be a binomial random variable with n=75 and p=0.6. a) What is μ? b) What is o²? c) What is the probability of P(x ≥ 52), solve this part Without continuity correction and with continuity correction.
