Find the joint distribution of X and Y.
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Two fair coins are tossed twice. Let X be the number of heads in the first toss and Y is the total number of heads in the two tosses. Find the joint distribution of X and Y.
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- The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 51, 86, 77, 86, 66, 59, 66, 76, 55, 59, 57, 80 What can be concluded at the α = 0.10 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion H0:H0: ? μ p Select an answer = ≠ > < H1:H1: ? p μ Select an answer = > < ≠ The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)There are 100 students in a club. 20 are seniors. 12 arrive at December’s meeting at random. We want to predict the number of seniors that arrive. Describe the distribution and determine P(x=3).der Describe the shape of the distribution. OA. The distribution is uniform. O B. The distribution is skewed to the right. OC. The distribution is skewed to the left. OD. The distribution is bell shaped.
- NEED HELP WITH: E,F,GThe average final exam score for the statistics course is 82%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 90, 78, 82, 59, 67, 71, 64, 78, 67, 57, 79, 86, 66, 56 What can be concluded at the the αα = 0.05 level of significance level of significance? For this study, we should use (t-test for a population mean, z-test for a population proportion) The null and alternative hypotheses would be: H0: (symbol) (symbol) ____ H1: (symbol) (symbol) ____ The test statistic (?,t,z) = ____ (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is (symbol) αα Based on this, we should (accept, reject, fail to reject) the null hypothesis.…A fair coin is tossed three times. Let X denote 0 or 1 according as a head or a Tail occurs onthe first toss, and let Y denote the number of heads which occur. Determine the following: a. the distribution of X and Y;b. E(X) and E(Y);c. Variance and SD of X; andd. Variance and SD of Y
- As the sample size increases, the mean of the sampling distribution ▼ stays the same. gets larger. gets smaller.Using the data attached, compute x-bar: 1. Define the random variable x-bar in words 2. state the estimated distribution to use. Use both words and symbols.determine whether the given procedure results in a binomial distribution. if not, give the reason. Rolling a single die 34 times, keeping track of the number of 3s that are rolled.
