Answer 1-9Step by stepShow all your work correctly and clearly

Problem 3 Problem 7 The scatter plot below relates Typing Speed (in words per minute WPM) and Age (in years) for 30 participants. The line Here is a two-way table of Titanic passengers grouped according to the class of passage and whether they have survived the Game of chance: A player rolls a fair six-sided die. If outcome drawn is the Least Square Regression line (its equation is sinking of the ship. provided along with the coefficient of determination R?) of a roll is a number smaller then 3, the player wins 5 dollars Was the event "a passenger survived the sinking" independent of Otherwise, the player looses as many dollars as there are dots on Age vs. Typing Speed the class they traveled in? the top face of a rolled die. Let the random variable X be profit 120.0 100.0 y =-1.4x + 117.8 Did Not Survived Total R' = 0.6 (amount won or lost) per game. ed (WPM 80.0 First Class 201 123 60.0 Passengers second Class 118 166 284 40.0 a) Make a probability distribution table for the random Third Class 20.0 181 528 709 00 Total Passenger 817 1317 variable: amount won or lost. 0.0 20.0 40.0 60.0 80.0 Find relevant b) Find the Expected value of the experiment Age in Years percentages and explain .) Use Law of Large numbers to interpret the meaning of the Find relevant percentages and explain. Expected value Problem 4 d) If a person plays 100 times, how much he expects to a) Based on a table in problem 2, if a passenger's name is win/loose? selected from the list of those who have survived at random , what is the probability that he/she traveled in 3"d class? Problem 8 a. What does each dot in this scatter plot represent? b) Suppose we selected a random sample of 5 names of b. Identify the explanatory variable and state its units passengers who have survived the sinking . Let X be the number According to the shoe sales data, the foot length of adult US c. Identify the response variable and state its units of 3"d class passengers in the sample . Can we consider X a females (X) is normally distributed with the mean of 24.5 cm d. What type of correlation is shown in this scatterplot? Circle the binomial random variable? Explain. If it is, identify n and p. and the standard deviation of 5.1 cm. correct answer. Linear/ Non-linear/ No c) What is the probability that at least 2 passengers in the correlation sample traveled in 3"d class? a) What percent of adult Us females has foot length below 20 e. What is the direction of association between variables? Circle the correct answer. Positive/ Negative/ None Problem 5 cm? The Math department has 60 faculty members, 85% are fluent in b) What is the probability that a randomly chosen female has f. Interpret this value of the slope in the context of this problem. two or more languages. Three faculty members selected at feet longer then 25.5 cm? g. Based on the least square regression (LSR) line equation random and are asked about their language proficiency provided with the scatterplot, find the Predicted Typing ) Find P( 20