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- A fair coin is tossed three times, let's X represent the number of heads that showed up. Determine the probability mass function of x Find the cumulative distribution function The expectation of x The variance of xi need the answer quicklyUse only the Table for Binomial Distribution to find the following: a. P(x 26) for n=15, p=0.6 b. P(3A social service organization reports that the level of educational attainment of mothers receiving food stamps is uniformly distributed. To test this claim, you randomly select 96 mothers who currently receive food stamps and record the educational attainment of each. The results are shown in the table on the right. At a = 0.01, can you reject the claim that the distribution is uniform? Complete parts (a) through (d) below. Response Not a high school graduate High school graduate College (1 year or more) Frequency, fe 37 39 20 (a) State Ho and H, and identify the claim. Ho: The distribution of educational attainment responses is Ha: The distribution of educational attainment responses is Which hypothesis is the claim? Ho Ha (b) Determine the critical value, Xo, and the rejection region. 2 Хо (Round to three decimal places as needed.) %3D Choose the correct rejection region below. 2 2 O B. Xsx. O D. X²2X% 2 Ο Α. Χx% O C. X >XoThe duration of a professor's class has a continuous uniform distribution between 50.0 minutes and 52.0 minutes. If one class is randomly selected, find the probability that the professor's class duration is between 50.4 and 51.8 minutes.P(50.4<X<51.8)Students arrive one at a time, completely at random, to an advice clinic at a rate of10 per hour. Students take on average 5 minutes of advice but there is wide variation inthe time they need; this variation may be well modeled by the exponential distribution.b. Again assuming one advisor, what is the probability that there are more than tenstudents in the clinic at a random point in time? What is the probability that the timespent in the clinic exceeds 30 minutes?.For any number of x, the cumulative distribution function (F(x)) is the probability that the observed value of the X will be at most x. Select one: True FalseAnswer quickThe lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5 min. If one such class is randomly selected, find the probability that the class length is less than 51.6 min.min {X1, X2}. %3D Suppose that X1, X2 are iid, and X1 Exp(2). Find the distribution of X(1)Cumulative probability tables for the Poisson distribution indicate that for µ = 2.5, Pr [R ≤ 6] = 0.986 and Pr [R ≤ 4] = 0.891. Use these figures to calculate Pr [R = 5 or 6]. Check using basic relations.The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 51.4 and 51.8 min.P(51.4 < X < 51.8) = Will you show your work pleaseSEE MORE QUESTIONS
