* '2' Let Us Enhance In one of the banks in Davao City, the number of tellers (X) are busy with customers at 12:00 noon that varies from day to day. Past records indicate the probability distribution of X below, Number of Tellers [X] Probability P[X) 0 0.095 1 0.265 2 0.285 3 0.205 4 0.150 Answer the following questions: 1. What is the probability that exactly two tellers are busy at 12:00 noon? 2. What is the probability that at least three tellers are busy at 12:00 noon? 3. What is the probability that fewer than the four tellers are busy at 12:00 noon? 4. What is the probability that, at least to two, but fewer than four tellers are busy at 12:00 noon? 5. Solve and interpret the mean and variance of the probability distribution? a Let Us Assess Davao City National High School has six telephone lines. For the past months, the probability distribution of the random variable Y which represents the number of busy lines per day is shown in the table below. 13 a. What is the probability that exactly four telephone lines are busy in a day? b. What is the probability that, at least three telephone lines busy in a day? (3. What is the probability that the number of busy telephone lines in a day is at least two but at most four? cl. What is the probability that at least one telephone line is busy in a day? 9. What is the expected value and variance? Interpret your answer. Let Us Reect .0} A. Complete the following statements. W. 'aper. 1. Mean is 2. Variance is 3. Standard deviation is In real-life, it is essential for us to infer and choose on situations in which there are different probabilities of event in the result. Our decisions usually inuence by considering the probability of the desired outcome. Unknowingly, we describe the outcome of our actions or experiments and other recurring events based on these theoretical concepts, namely: mean, variance and standard deviation. These theoretical concepts are important in statistics and in other elds. Some other real-er applications are the following: studies on the progress of a school, studies on the performance of the students, studies on the marketability of a product, making a feasibility study, identifying the population of the marginalized sector in Davao City, identifying the desired brand of COVID- 19 vaccine of the community and many others