Name: Class: Marks: Test 1. Compute the probabilities corresponding to a given discrete, continuous random Variable 1. Let X the value of the random variable represented by the number of boxes of "Pizza Kaya". The Probability distribution is shown below. Number Probability of Boxes, P(X) a. Find the Probability that 40 or more boxes will be sold in a particular day. X 25 10 37 40 1 10 b. Find the Probability that the number of boxes delivered will be at least 37 but not more than 50. at moll setdown aved atw jasbids viova govern woY amidout 42 45 10 mass older.wow mekele distend atmill saline becold at snameme ant don 50 1 10 2. The following data show the probabilities for the number of Motorcycle sold in a given day at a Branch of Honda motorcycle at Polomolok South Cotabato. Number Probability, a. Find P(X 5 2 ) of Cars, P(X) X 0.100 0.150 2 0.250 b. Find P( X 2 7 ) 3 0.140 4 0.090 0.080 0.060 C. Find P( 1 S x $ 5) 0.050 0.040 O 0.025 10 0.015Test 2. State whether or not the sample is random. If it is not random, explain why. (5pts each) SMILE 1. You survey customers at a mall. You want to know which stores they shop at the most. You walk around a computer shop and choose 20 customers there for your survey. . A country radio station wants to know what the most popular type of music is, so they ask their listeners to call in to say their favorite type. 3. You want to know what 7th graders think of their science class. You poll 100 random 7th graders. 4. You want to survey the students in your school about their exercise habits. At lunchtime you stand by a vending machine. You survey every student who buys something from the vending machine. Test 3. State whether or not the statement is biased or fair. If it is biased, explain why. (5pts each) 1. Do you want a delicious salad for lunch or the usual sandwich? 2. Do you watch TV on Saturday like everybody else? X 3. Do you eat the recommended number of servings for fruits and vegetables? 4. I don't like these shoes, do you