1) Find the area of the indicated region under the standard normal curve.
2) Find the area under the standard normal curve to the left of z = 1.25. (click here for the diagram)
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3) Use the standard normal distribution to find P (-2.25 < z < 0).4) IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. Anindividualʹs IQ score is found to be 90. Find the z-score corresponding to this value. 5) Find the z-scores for which 90% of the distributionʹs area lies between -z and z. 6) The distribution of room and board expenses per year at a four-year college is normally distributedwith a mean of $5850 and standard deviation of $1125. Random samples of size 20 are drawn from thispopulation and the mean of each sample is determined. Which of the following mean expenses wouldbe considered unusual? 7) The amounts of time employees of a telecommunications company have worked for the distributedwith a mean of 5.1 years and a standard deviation of 2.0 years. Random samples of size 18 are drawnfrom the population and the mean of each sample is determined. Use the Central Limit Theorem to findthe mean and standard error of the mean of the indicated sampling distribution. 8) A student answers all 48 questions on a multiple-choice test by guessing. Each question has fourpossible answers, only one of which is correct. Find the probability that the student gets exactly 15correct answers. Use the normal distribution to approximate the binomial distribution. 9) If the probability of a newborn child being female is 0.5, find the probability that in 100 births, 55 ormore will be female. Use the normal distribution to approximate the binomial distribution. 10) An airline reports that it has been experiencing a 15% rate of no-shows on advanced reservations.Among 150 advanced reservations, find the probability that there will be fewer than 20 no-shows. 11) A telemarketer found that there was a 1% chance of a sale from his phone solicitations. Find theprobability of getting 5 or more sales for 1000 telephone calls. 12) Use a standard normal table to find the z-score that corresponds to the 30th percentile.