Question

19. From a sample of pulse rates for adult males, the mean of the pulse rates is 72.0 beats per minute, and their standard deviation is 11.0 beats per minute. a. A 40-year-old male had a pulse rate of 85 bpm. Convert the pulse rate to a 2-score. b. A 25-year-old male had a pulse rate of 48 bpm. Convert the pulse rate to a 2-score. c. Classify the pulse rates as significantly low, not significant, or significantly high. d. Which pulse rate is more extreme? 20. A PIN for an online account is 4 characters long: The first character is an "X", "Y" or "Z" and then then there are three numbers. Each number can be from 0-9. a. Is Y777 an acceptable PIN? b. Instead of an "X", "Y", or "Z", the new policy says that the first character has to be a number. How does that change the possible number of codes? 21. According to data gathered from AVC students, there is a 0.72 probability the student will have to crash 1 course, a 0.19 probability the student will have to crash 2 courses, and a 0.09 probability the student will have to crash 3 courses a. Is this a probability distribution? b. What is the expected (mean) number of courses a student will have to crash? c. Who is the probability that a student will not have to crash a course? 22. For a Standard Normal Distribution, Find P(Z < 1.55) Q. Sketch the graph b. Find the probability 23. The pregnancies of pigs are normally distributed with a mean of 110 days and a standard deviation of 11 days. What is the probability that a pregnancy lasts less than 108 days? 0. Sketch the graph Find the probability MacBook Air

Answer 1

ig. Let to be the pulse rate cin bpm). 2.2 = 72.0 s = 11.0 a) A a score of a 40 year old male having pulse rate 85 bpm is z = 2-X S 85-72.0 13.0 - 1. Z=1:18 b) A z score of a 25 year old male having pulse rate of 48 bpm is dan 48-72.0 Z =xnx 11.o = -24 11.0 - Z=-2.18 or () The a score is significantly high or low if it is greater than 3.0 less than 3.0 since both a scores lies between -3.0 and 3.0 , the z scores are not significant.

d. The z score for 25 year old male is more extreme than the z score of a 49 year old male. Since -2.18 is farther than 1.18 from z score if 0.