3. An ice climber is standing on a steep slope of ice/snow, just 1 foot above a cliff.She is 3 feet below the summit, where safety awaits her. Each time she tries to take one step upward, toward the summit, she makes it successfully, advancing upwards by 1 foot, 30% of the time; unfortunately, 70% of the time she slides back 1 foot behind where she started. (So, if she slides back on her first attempt to go up, she in fact falls off the cliff!) Each step that she takes requires an amount of time, uniformly distributed between 2 minutes and 3 minutes. For each of the following quantities, show exactly how you would compute it. Define precisely any quantities you use! You need not solve systems of equations, but you must be very explicit about exactly how you would obtain the final numerical answer. (a). The probability that she makes it to the summit. (b). The expected number of steps she takes before she is done (she either reaches the summit and heads home, or she falls off the cliff and never climbs again)