A gambling book recommends the following "winnin strategy" for the game of roulette:
It recommends that the gambler bet $1 on red. If red appears (this has probability
18/38), then the gambler should take her $1 profit and quit. Else, she should make
additional $1 bets on red on each of the next two spins of the roulette wheel, and then
quit. Let X denote the gambler’s winnings when she quits.
(a) Find P{X > 0}.

Worth 100 points need the answers asap first row -x^2 2x^2 (x/2)^2 x^2 x is less than 2 x is greater than 2 x is less than or equal to 2 x is greater than or equal to 2 second row -5 -5/2 4 5 •2 is less than x& x is less than 4 •2 is less than or equal to x & x is less than or equal to 4 •2 is less than or equal to x& x is less than 4 •2 is less than x& x is less than or equal to 4

Jenny invests $2,000 at an interest rate of 5%. the amount of money, me, in jenny's account after tyears can be represented using the equation ma-2000(1.05). if jenny would have invested the same amount of money at the same interest rate four years ago, the equation representing the amount of money mo. in her account would be represented using the equation! mg = 2000(105)*** which of the following is equivalent to mp? 2000(105) om- 1.05 2000(1.05) mo 1059 mp-2000(1.05) (105) mp - 2000(1.05) + (1.05)

According to a research study, parents with young children slept 6.4 hours each night last year, on average. a random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. this data has a sample standard deviation of 0.9. (assume that the scores are normally distributed.) researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year. the null and alternative hypotheses are h0: μ=6.4 and ha: μ> 6.4, which is a right-tailed test. the test statistic is determined to be t0=1.89 using the partial t-table below, determine the critical value(s). if there is only one critical value, leave the second answer box blank.