STATISTICS AND PROBABILITY

I. Encircle the correct answer. Show your solution. 1. There are 20 counters in a bag: 3 are yellow, 7 are pink and 10 are green. The contents of the bag are shaken before JC randomly chooses one counter from the bag. What is the probability that he doesn't pick a yellow counter? A. 3 C. TO D. 17 20 20 20 2. A card is chosen at random from a dock of 52 playing cards. There are 4 Jacks and 4 Queens in a deck of playing cards. What is the probability the card chosen is a Jack or a Queen? A. 1 IN 13 B. 13 D. - 13 3. A committee of three is chosen from five councilors - Anna, Bona, Coby, Dina and Eva. What is the probability that Bona is on the committee? A. B. LAIN D. 4. Two coins are tossed. If Y represents the number of heads, what is P(Y = 1)? A. B. D.5. The diagram shows a spinner made up of a piece of card in the shape of a regular pentagon, with a toothpick pushed through its center. The five triangles are numbered from 1 to 5. Each time, the spinner is spun until it lands on one of the five edges of the pentagon. If X represents the number on that edge, what is P(X = 3)? D TIN A. B. C. Il. Compute the following: 1. A discrete random variable X has the following probability distribution A. X 35 36 37 38 39 P(X) 0.10 0.50 0.15 0.10 Find P (36) B. X 0 1 2 3 4 P(X) 0.10 0.25 0.38 0.23 Find P (4) C. X 2 3 4 5 6 P (X ) 0.07 0.15 0.24 0.19 Find P (4) 2. The probabilities that a surgeon operates on 3, 4. 5, 6, or 7 patients in any one day are 0.15, 0.20, 0.25, 0.20 and respectively. Find P (7). 3. The probabilities that a student will borrow 1, 2, 3, or 4 books are 0.45, 0.30, and 0.10, respectively. Find P (3).Directions: Complete the table below. Compute the variance and standard deviation of discrete probability distribution using alternative method. X P(X) X . PX) X3 . P(X) 1. 0.15 2 0.40 0.20 4 0.25 2. X P(XX) X3 . P(X) 20 12 6 20 3 20 10 20