4 1. Find the indicated probability by using the special addition rule. The age distribution of students at a community college is given below. Age (years) Number of students (f) A student from the community college is selected at random. Find the probability that the student is between 26 and 35 inclusive. Round approximations to three decimal places. 0.054 0.238 264 0.184 2. Estimate the probability of the event. A frequency distribution on employment information from Alpha Corporation follows.. Find the probability that an employee has been with the company 10 years or less. 0.259 0.741 0.735 0.294 3. List the outcomes comprising the specified event. When a quarter is tossed four times, 16 outcomes are possible. HHHH HHHT HHTH HHTT HTHH HTHT HTTH HTTT THHH THHT THTH THTT TTHH TTHT TTTH TTTT Here, for example, HTTH represents the outcome that the first toss is heads, the next two tosses are tails, and the fourth toss is heads. List the outcomes that comprise the following event. A = event the first three tosses come up the same HHHH, HHHT, TTTH, TTTT HHHT, TTTH, HTTT, THHH HHHT, TTTH HHH, TTT 4. Find the indicated probability. A committee of three people is to be formed. The three people will be selected from a list of five possible committee members. A simple random sample of three people is taken, without replacement, from the group of five people. Using the letters A, B, C, D, E to represent the five people, list the possible samples of size three and use your list to determine the probability that B is included in the sample. Hint: There are 10 possible samples.) 5. Find the indicated probability by using the general addition rule. For a person selected randomly from a certain population, events A and B are defined as follows. A = event the person is male B = event the person is a smoker For this particular population, it is found that and Approximations to two decimal places. 0.45 0.60 0.75 0.90 6. Determine whether the events are mutually exclusive. When a quarter is tossed four times, 16 outcomes are possible. HHHH HHHT HHTH HHTT HTHH HTHT HTTH HTTT Find Round THHH THHT THTH THTT TTHH TTHT TTTH TTTT Here, for example, HTTH represents the outcome that the first toss is heads, the next two tosses are tails, and the fourth toss is heads. The events A and B are defined as follows. A = event exactly two heads are tossed B = event all four tosses come up the same Are the events A and B mutually exclusive? Yes No