Question: Suppose that a fair coin is tossed 180 times with the results of the tosses regarded as independent events. Use the central limit theorem to approximate the probability that the total number of heads obtained is greater than 97. Uco tho Normal pro hility tables to leek the prebabilihy

(b) What is the probability that a randomly selected car will spend more than 191 seconds in the​ restaurant's drive-through?   The probability that a randomly selected car will spend more than 191 seconds in the​ restaurant's drive-through is______ ​(Round to four decimal places as​ needed.)

Assume that Tom attends class randomly with probability 0.55 and that each decision is independent of previous attendance, so that the process can be viewed as a Bernoulli process. What is the probability that he attends at least 7 of 10 classes given that he attends at least 2 but not all 10 classes?

Assume that when adults with smartphones are randomly​ selected, 45​% use them in meetings or classes. If 20 adult smartphone users are randomly​ selected, find the probability that exactly 16 of them use their smartphones in meetings or classes.   The probability is ____. ​(Round to four decimal places as​ needed.)

Assume that 12 jurors are randomly selected from a population in which 86% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. � �(�) 0 0+ 1 0+ 2 0+ 3 0+ 4 0+ 5 0.0004 6 0.0028 7 0.0148 8 0.0569 9 0.1553 10 0.2863 11 0.3197 12 0.1637 Find the probability of exactly 5 Mexican-Americans among 12 jurors.�(�=5)= Find the probability of 5 or fewer Mexican-Americans among 12 jurors.�(�≤5)= Does the occurrence of 5 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?

The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year. A student is selected at random. Find the probability of each event listed in parts (a) through (c) below Click the icon to view the table. (a) The student is male or received a degree in the field The probability is 0.545. (Type an integer or a decimal. Round to three decimal places as needed.) (b) The student is female or received a degree outside of the field. The probability is (Type an integer or a decimal. Round to three decimal places as needed.) .... Table Males Females Total Degrees in Field 191,503 156,134 347,637 Print Degrees Outside of Field 624,367 812,503 1,436,870 Done Total 815,870 968,637 1,784,507 - X

Assume that the monthly worldwide average number of airplaine crashes of commercial airlines is 2.2. What is the probability that there will be (a) at most 2 such accidents in the next month? (b) less than 6 such accidents in the next 3 months? (c) exactly 5 such accidents in the next 4 months?