Question

10 points 1. A committee of size 3 is to be selected from 2 men and 8 women. (a) Find the probability distribution of the number of women selected in the committee, and (b) Find the standard deviation." Your answer 6 points 2. A quiz consists of 14 multiple-choice questions. Each question has 5 possible answers, only one of which is correct. Klein plans to guess the answer to each question. Find the probability that Klein gets exactly 7 correct answers. * Your answer 6 points 3. A 3-digit number is form from the numbers 1,2,3,4,5,6 without replacement. Find the probability that the number form is odd.* Your answer 4. The average on a statistics test was 82 with a standard deviation of 8. If 8 points the test scores are normally distributed, and student receives a grade of B for test scores between 78 and 92. How many took the test if 4 students received a grade of B?* Your answer

Answer 1

lution: X: Number of women { x = 0, 1, 2,3} xon Beyper geometric P(x) = (29) (3) (3) Plx= 1) = (%) (2) 눈 P(x=2) = (2013) = 7/ 10 P(x=3) = 2. 2 7 こ Bra 15 wo - 2 3 P(x) 1/15 7/15 7115 E(x) = {xf(x) = 1x1 15 + 2x 7 * 7 / + 3x2 / 3 x 7 = 15 12 El% =s&P(x) = x + 2 + ² x 7 7 92 + So, standard deviation VEG) - El vezet - ( 12 )? 0.611

Solution: 2) xa Bimomial (14; ) P(x) = ♡ pran ba n-X n=17 = 0.2 5 7 14- P(x= 7) (14) (0-2) (0.8) = 0.0092