Practice Sheet 1

INSTRUCTIONS: 1. }Draw the possible outcomes of the following i 5 items) 2. } Choose the letter of the correct answer (5 items} 1. What is the probability of getting a number divisible by 3 in one roll of a die? A. g B. 13 c. 1'5 o. %l 2. What is the probability of getting 2 heads of 2 coins tossed once? A. 1/3 B. 2M C. 1/11 D. V4 3. What is the probability of getting a sum of numbers 1-? if 2 dice were rolled once? A. 1/3 B. 5f18 C. U12 D. 15,136 4. What is the probability of getting 1 head of a coin flipped 3 times? A. 1/'3 B. BIB C. 2f3 D. M 5. What is the probability of getting a number divisible by 2 in a die? A. is B. 3f6 C. 2f6 D. 5,36 Construct a random variable and find the Mean of the following. {Please include Table of Random Variables) 1. Number of tails if 3 coins are flipped once. 2. Number of heads if two coins are flipped once. 3. Number of even numbers in a die. 4. Sum of even numbers if a pair ofdice are rolled once. 5. Marbles numbered 1, 2, 3 and 4 were placed in a fishbowl. 1 were drawn four times, 2 were drawn thrice, 3 were drawn twice, and 3-1 were drawn once. Find the mean of the number of times the marbles were drawn. There are 10 balls. A number is picked from a jar containing two 2s, three 4s, and five 6s. The balls were mixed, and one is recorded. Then it is replaced. If the experiment is repeated many times, find: a) Construct a probability distribution table of the random variable X b) Solve for the mean c) Compute the variance d) Give the value of standard deviationFind the areas and draw a Standard Normal Curve for the following: 1. Area above z= 1.15 2.Area below z= 2.11 3. Area between 1.14 and 2.22 4. X > 2.23 5. X