Math 1313 Homework 27 Section 7.5/7.6 Find the value of the probability of the standard normal variable Z corresponding to this area for problems 1-3. a. b. c. d. e. 1.62 . 0.8962 0.9959 0.1317 0.9474 0.9234 a. b. c. d. e. 1.57 0.0582 0.2439 0.9418 0.3578 0.1032 1. 2. 3. 1.41 0.63 a. 0.6564 b. 0.5613 c. 0.8714 d. 0.6406 e. 0.0793 Let Z be the standard normal variable. Find the values of z if z satisfies the following problems. a. b. c. d. e. 0.8078 -0.57 0.98 0.37 1.44 0.87 a. b. c. d. e. 0.5832 -0.42 0.43 -0.21 0.78 -0.07 4. 5. 0.1896 6. a. b. c. d. e. 1.81 0.24 1.04 1.44 0.32 1 Math 1313 Homework 27 Section 7.5/7.6 7. The medical records of infants delivered at the Kaiser Memorial Hospital show that the infants' lengths at birth (in inches) are normally distributed with a mean of 21 and a standard deviation of 2.6. Find the probability that an infant selected at random from among those delivered at the hospital measures is more than 23inches. a. 0.7692 b. 0.1991 c. 0.9458 d. 0.2206 e. 0.6579 For problems 8- 10, use the appropriate normal distribution to approximate the resulting binomial distributions. 8. A coin is weighted so that the probability of obtaining a head in a single toss is 0.3. If the coin is tossed 35 times, what is the probability of obtaining between 9 and 14 heads, exclusive. a. 0.510 b. 0.627 c. 0.701 d. 0.287 e. 0.824 9. If 14% of men are bald, what is the probability that more than 100 in a random sample of 850 men are bald? a. 0.9778 b. 0.9664 c. 0.0697 d. 0.0027 e. 0.0378 10. The Colorado Mining and Mineral Company has 1000 employees engaged in its mining operations. It has been estimated that the probability of a worker meeting with an accident during a 1-yr period is 0.08. What is the probability that more than 70 workers will meet with an accident during the 1-yr period? a. 0.8665 b. 0.9089 c. 0.3585 d. 0.3827 e. 0.6548 2 \f