Name: Score: Year and Section: Teacher: EXERCISES identify which type of sampling Is used: Random, stratified, systematic or cluster. 1) He selects every 51h student in every year level. 2) The game show organizer writes the name of each contestant on a separate card, shuffled the cards, and draws 5 names. _3) Smarts selects every 100th cellphone from the assembly line and conduct a thorough test of quality. 4) Family planning polls 1 000 men and 1 000 women about their views concerning the use of contraceptives. 5) A psychologist selects 12 boys and 12 girls from each of four Science class. 6) A researcher surveyed people from each town in the province of Cavite for his research on Statistics. 7) The secretary gave a list of 200 Grade 11 students. The researcher selected every 9"h name on the list. 8) A teacher surveyed about the effects of using gadgets to their students. She decided to divide her students into male and female and then she selected students from each gender group. 9) A researcher surveyed all Covid-19 survivors in each of the 20 randomly selected hospitals in Manila. 10) The game organizer put all the names of the participants in a box and picked the 5 winners at random. 39Name: Score: Year and Section: Teacher: EXERCISES 1, Find the area under the normal curve In each of the following cases then draw the curve. (3pts. each) 1.) Between z = 0 and z = 2.3 2.) Between z = -1.36 and z = 1.3 3.) To the left of 1.12 Area: Area: Area: 4.) Between z = 0 and z = 1.94 5.) Between z = 1.24 and z = 2.56 6.) To the right of 2.71 Area: Area: Area: II. Find the indicated area under the normal curve, and then convert it to percentage. (2pts each) 1.) What percent of the area under the normal curve is between z = 1.25 and z = 2.86? Area: Percentage: 2.) What percent of the area under the normal curve is between z = - 0. 45 and z = 1.52? Area: Percentage: 3.) What percent of the area under the normal curve is between z = - 2. 45 and z = - 1.10? Area: Percentage: 4.) What percent of the area under the normal curve is between z = 1. 05 and z = 2.55? Area: Percentage: 30) Let X be a Poisson random variable with mean / = 6. Calculate the probabilities of the following a. P (3) b. P (5) Solutions: a. P(x) = When b. P ( x ) = "'em P(3) = D'e- 31 P(5) = 40e-6 5! = 0.08923 = 0.09 = 0.160623 = 0.16 Name: Score: Year and Section: Teacher: EXERCISES I. Find the mean / of the Poisson distribution given the following: 1.) n = 4000 and p = 0.005 2.) n = 3500 and p = 0.002 3.) n = 2000 and p = 0,001 Il. Let X be a Poisson random variable with mean / = 4. Calculate the probabilities of the following 1.) P(3) 2.) P(4) 3.) P(2) 4.) P(0) 24