the data in the following table, which lists drive-thru order acuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant C 233 38 A 267 53 Order Accurate 321 121 Order Not Accurate 36 14 If two orders are selected, find the probability that they are both accurate. Complete parts (a) and (b) below. a. Assume that the selections are made with replacement. Are the events independent? The probability is 0.7566. The events (Do not round until the final answer. Round to four decimal places as needed.) are independent. b. Assume that the selections are made without replacement. Are the events independent? The probability is The events (Do not round until the final answer. Round to four decimal places as needed.) independent. are

You play two games against the same opponent. The probability you win thefirst game is 0.4. If you win the first game, the probability you also win the second is 0.2.If you lose the first game, the probability that you win the second is 0.3. A tie is not anoption.a. Are the two games independent? Explain.b. What’s the probability you lose both games?c. What’s the probability you win both games?d. Let random variable X be the number of games you win. Find the probabilitymodel for X.

jar Men Women Вoys Girls Total Survived 343 369 36 37 785 Died 1459 154 38 39 1690 Total 1802 523 74 76 2475 1. Find the probability that a randomly selected Runtanic passenger was not a boy. 2. Find the probability that a randomly selected Runtanic passenger was a boy, given that the passenger died. 3. Find the probability that a randomly selected Runtanic passenger survived, given that the passenger was a woman.

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant A с Order Accurate 339 247 Order Not Accurate 40 35 If one order is selected, find the probability of getting an order from Restaurant A or an order that is accurate. Are the events of selecting an order from Restaurant A and selecting an accurate order disjoint events? B 269 55 The events D 132 19 The probability of getting an order from Restaurant A or an order that is accurate is (Round to three decimal places as needed.) Are the events of selecting an order from Restaurant A and selecting an accurate order disjoint events? disjoint because it possible to receive an accurate order from Restaurant A. pick an order from Restaurant B, C, or D. pick an inaccurate order. C