Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) USE SALT P(-1.14 Z 2.71) = | Shade the corresponding area under the standard normal curve. Z -3 -2 -1 0 1 2 3 -3 -2 -1 0 1 2 3 Z Z -3 -2 -1 0 1 2 3 -3 -2 -1 0 1 2 3 Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z -0.22) = USE SALT Shade the corresponding area under the standard normal curve. z Z 3 -2 -1 0 1 2 3 -3 -2 -1 0 1 2 3 z z -3 -2 -1 0 1 2 3 -3 -2 -1 0 1 2 3 Consider a binomial experiment with 16 trials and probability 0.35 of success on a single trial. (a) Use the binomial distribution to find the probability of exactly 10 successes. (Round your answer to three decimal places.) (b) Use the normal distribution to approximate the probability of exactly 10 successes. (Round your answer to four decimal places.) (c) Compare the results of parts (a) and (b). These results are fairly different. These results are almost exactly the same. A cement truck delivers mixed cement to a large construction site. Let x represent the cycle time in minutes for the truck to leave the construction site, go back to the cement plant, fill up, and return to the construction site with another load of cement. From past experience, it is known that the mean cycle time is = 41 minutes with = 12 minutes. The x distribution is approximately normal. (a) What is the probability that the cycle time will exceed 60 minutes, given that it has exceeded 50 minutes? (Round your answer to four decimal places.) (b) What is the probability that the cycle time will exceed 55 minutes, given that it has exceeded 40 minutes? (Round your answer to four decimal places.) Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area to the right of z = -1.17 is