The random variable X represents the number of classes a stu…

The random variable X represents the number of classes a student skipped. The probability distribution for this scenario is shown below. Number of Classes p(x) 0 0.21 1 0.38 2 0.34 3 0.05 4 0.02   The probability that a randomly selected student skipped exactly 4 classes is Event A.  The probability that a randomly selected student skipped at most 2 classes is Event B.  The probability that a randomly selected student skipped at least 3 classes is Event C. Find the average number of skipped classes for this population. 

A bag contains blocks numbered from 1 to 10, that is, S = {1…

A bag contains blocks numbered from 1 to 10, that is, S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.  Events are defined as follows: Event A: selecting a block with a number greater than or equal to 8 Event B: selecting a block with a number less than 3 Event C: selecting a block with 4, 9, or 10         Select the correct sets that correspond to these 3 new events:  B U C,   A ∩ C,  and  B’ ∩ C Pay close attention to the notation!

This question uses data from the 2018 General Social Survey…

This question uses data from the 2018 General Social Survey (GSS), a nationally representative survey of adults in the United States. We analyze the following variables: realrinc: the respondent’s real (inflation-adjusted) personal income, measured in dollars. male: a binary variable scored 1 if the respondent is male, and 0 if female.  The analysis uses the 1,363 respondents with complete data on these variables. Refer to the regression output below to answer the prompts. a) Conduct a formal hypothesis test at the 0.05 significance level to assess whether sex predicts income. State your null and alternative hypotheses, identify the test statistic and p-value from the table, and state your final conclusion. b) What is the R-squared value in this regression output? Explain exactly what this number means in the context of these two variables. Based on this value, how would you describe the strength of the relationship between sex and income?

Analyze the graph of f(x)=-2×5/3+4×4/3 (Answer Format: Unle…

Analyze the graph of f(x)=-2×5/3+4×4/3 (Answer Format: Unless the value is an integer, the answers are rounded to the nearest thousandth.) a) The function is increasing over the interval(s) [BLANK-1] and decreasing over the interval(s) [BLANK-2]. b) The function is concave upwards over the interval(s) [BLANK-3] and concave downward over the interval(s) [BLANK-4]. c) The RMIN occurs at x value(s) =[BLANK-5] and the RMAX occurs at x value(s) =[BLANK-6] d) Point of concavity occurs at x value(s) = [BLANK-7] e) The x-intercept(s) occur at x=[BLANK-8]