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please answer it with the explanation. thank you Page 215 9.4 Find the standard normal curve area that lies (a) between z = 0 and
please answer it with the explanation.
thank you
Page 215 9.4 Find the standard normal curve area that lies (a) between z = 0 and z = 0.87; (b) between z = -1.66 and z = 0; (c) to the right of z = 0.48. 9.5 Find the standard normal curve area that lies (a) to the right of z = -0.27; (b) to the left of z = 1.30; (c) to the left of z = -0.79. 9.6 Find the area under the standard normal curve that lies (a) between z = 0.45 and z = 1.23; (b) between z = -1.15 and z = 1.85; (c) between z = -1.35 and z = 0.48. 9.13 Find z if the standard-normal-curve area (a) between 0 and z is 0.4788; b) to the left of z is 0.8365; (c) between -z and z is 0.8584; (d) to the left of z is 0.3409. 9.17 If a random variable has the normal distribution with a = 82.0 and o = 4.8, find the probabilities that it will take on a value (a) less than 89.2; (b) greater than 78.4; (c) between 83.2 and 88.0; (d) between 73.6 and 90.4. Page 225 9.25 The time it takes to assemble an "easy to assemble" bookcase from a Danish import house is a random variable having a normal distribution with u = 17.40 minutes and o = 2.20 minutes. What is the probability that this kind of bookcase can be assembled by a person in (a) less than 19.0 minutes; (b) anywhere from 12.0 to 15.0 minutes? 9.27 The reduction of a person's oxygen consumption during periods of transcendental meditation may be looked upon as a random variable having the normal distribution with u = 38.6 cc per minute and o = 6.5 cc per minute. Find the probabilities that during a period of transcendental meditation a person's oxygen consumption will be reduced by (a) at least 33.4 cc per minute; (b) at most 34.7 cc per minute. 9.34 The distribution of the IQs of the 4,000 employees of a large company has a mean of 104.5, a standard deviation of 13.9, and its shape is roughly that of a normal distribution. Given that a certain job requires a minimum IQ of 95 and bores those with an IQ over 110, how many of the company's employees are suitable for this job on the basis of IQ alone? (Use the continuity correction.)9.36 The annual number of earthquakes, the world over, is a random variable having approximately a normal distribution with u = 20.8. What is the standard devi- ation of this distribution if the probability is 0.70 that there will be at least 18 earthquakes? 9.43 Records show that 80% of the customers at a restaurant pay with a credit card. Use the normal approximation to the binomial distribution to find the probability that at least 170 out of 200 customers of the restaurant will pay by credit card. 9.44 The probability is 0.26 that a cloud seeded with silver iodide will fail to show spectacular growth. Use the normal approximation to the binomial distribution to find the probability that among 30 clouds seeded with silver iodide (a) at most 8 will fail to show spectacular growth; (b) only 8 will fail to show spectacular growthStep by Step Solution
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