Hannah coaches a youth soccer team in bowling green. tomorrow night, they have a game. suppose there is a 43% chance that her team will lose. regardless of whether her team loses, hannah figures there is a 58% chance that a parent will complain about something to her after the game. from previous seasons, hannah knows that the probability that her team loses and a parent complains is 35%. (hint: organize and label the given information first before starting. write out the probability statement for each question before calculating anything.)suppose hannah's soccer team loses. what is the probability that a parent complains?

Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). suppose your car averages 33 miles per gallon on the highway if your average speed is 54 miles per hour, and it averages 22 miles per gallon on the highway if your average speed is 75 miles per hour. answer parts (a) and (b) below. a. what is the driving time for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the driving time at 75 miles per hour? the driving time at 54 miles per hour is nothing hours. (type an integer or decimal rounded to two decimal places as needed.) the driving time is at 75 miles per hour is nothing hours. (round to two decimal places as needed.) b. assume a gasoline price of $3.33 per gallon. what is the gasoline cost for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the gasoline cost at 75 miles per hour? the gasoline cost at 54 miles per hour is $ nothing. (round to two decimal places as needed.) the gasoline cost at 75 miles per hour is $ nothing. (round to two decimal places as needed.)

The discrete random variables x and y take integer values with joint probability distribution given by f (x,y) = a(y−x+1) 0 ≤ x ≤ y ≤ 2 or =0 otherwise, where a is a constant. 1 tabulate the distribution and show that a = 0.1.2 find the marginal distributions of x and y. 3 calculate cov(x,y).4 state, giving a reason, whether x and y are independent. 5 calculate e(y|x = 1).

Need ! a certain ultraviolet ray has a frequency of 1 × 1016 hz, and a certain infrared ray has a frequency of 2 × 1012 hz. which of the following is true? a. the frequency of the ultraviolet ray is fifty thousand times the frequency of the infrared ray. b. the frequency of the infrared ray is fifty thousand times the frequency of the ultraviolet ray. c. the frequency of the ultraviolet ray is five thousand times the frequency of the infrared ray. d. the frequency of the infrared ray is five thousand times the frequency of the ultraviolet ray.