MAT IS2 WORKSHEET NAME: DUE WEDNESDAY, 10/26/22 by 11:59 PM - SUBMIT in MOODLE For #1-2, decide whether each represents a discrete or continuous random variable. Circle your (See Slides 2-4 of Section 4.1) answer. D. Find the expected value and standard deviation of the probability distribution. Round to 2 decimal (See Slides 10-11 of Section 4.1) places. Expected Value -V Standard deviation- (4pt each) 1. The amount of time you slept last night A. Discrete (6 pt) B. Continuous 2. The number of times you blink in an hour A. Discrete (6 pt) B. Continuous For #3, use the table of below: I Here is a probability distribution with the information about the number of pets statistics students have as stated on the introduction survey you completed at the beginning of our class this summer. Number of Pets Number of Students (Frequency) Probability P(x) 11 21 10 8 1 5 TOTALS A. Complete the table above by filling in all the empty boxes. Round P(x) values to 2 decimal places. (See Slide 6 of Section 4.1) (8 pt) B. Write BOTH conditions for a valid probability distribution. Explain if the probability distribution in the table above is valid. (See Slides 5,7 of Section 4.1) (8 pt) C. Do any of the probabilities show that having either 0, 1, 2, 3, 4, or 5 pets is unusual? Explain your answer. (See Slide 12 of Section 3.2) (6 pt) E. What is the probability that a randomly selected student has exactly 2 pets? (See Slide 9 of Section 4.1) F. What is the probability that a randomly selected student has less than 2 pets? (See Slide 9 of Section 4.1) For #4-6, show your work. The following are examples of how to show your work. 1. binomcdf (5, 0.35,4) 2. binomial, n=5, p=0.35,x=4 (spt) (51) Round probability values to 4 decimal places where applicable. (8 pt cach) 4. Binomial: Twenty percent of the statistics students stated that they have children (on the introduction survey at the beginning of the semester). You randomly select 10 students from your class. Find the probability that the number of students who have children is (See Slides 9-15 of Section 4.2) A) exactly three, B) more than eight. NOTE: Your calculator will most likely give this answer in the "calculator's version of scientific notation. Make sure to give this probability value in standard form (take it out of scientific notation) and round correctly to 6 decimal places.