In a sequence of 8 Bernoulli trials with probability of success p, let X be the number of successes not followed immediately by a failure. Find E(X) (you can use indicators).

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 3 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30∘c on monday, but decreased at a constant rate in the next 3 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

The host of a game show is holding a bag with chips to see what prizes the contestants will play for. five (5) of the chips say “new car” ten (10) of the chips say “new tv” three (3) of the chips say “trip to france” contestant named “patty” reaches into the bag. a. what is the probability of choosing a tv chip? b. what is the probability of choosing a car chip next without replacing the 1st chip? c. are these dependent or independent events?

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)