Using the Table of Standard Normal distribution to determine the corresponding probabilities of the following: (? < −1.45) (0.5 < ? < 2.33) (? > 1.78)
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- Using the Table of Standard
Normal distribution to determine the corresponding probabilities of the following:
- (? < −1.45)
- (0.5 < ? < 2.33)
- (? > 1.78)
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- Los Angeles workers have an average commute of 30 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 15 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected LA worker has a commute that is longer than 34 minutes. c. Find the 85th percentile for the commute time of LA workers. minutesUse the normal distribution of SAT critical reading scores for which the mean is 503 and the standard deviation is 113. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 650? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 575? (a) Approximately (Round to two decimal places as needed.) % of the SAT verbal scores are less than 650.Evaluate the following probabilities based on the standard normal distribution: Round all answers to at least 3 decimal places. a. P(z 1.2) = c. P(-0.04 1.07) =
- Sketch a drawing and use the standard normal distribution table to answer the following questions: (a) Find the area that lies between z= 0.92 and z= 2.73. That is, find P(0.92< z <2.73) (b) Find the area that lies to the right of z=−1.58. That is, find P(z >−1.58)(c) Find thez-score for which the area under the standard normal curve to its left is 0.8600. (d) Find the z-score that has an area of 0.07 to its right under the standard normal curve. That is, find z0.07.The fill volume of an automated filling machine used for filling cans of water is normally distributed with a mean of (13.4 + R) fluid ounces and a standard deviation of (0.13+(R/10)) fluid ounce. b. What is the probability that a fill volume is more than (R+13) fluid ounces? c. What is the probability that a fill volume less than (12.1+ R) or greater than (12.6+R) fluid ounces? d. What is the fill volume that includes approximately (R+2)% of all cans to complete filling? (That is (R+2)% of all cans will be lesser than that value)? R=31Use the normal distribution of SAT critical reading scores for which the mean is 503 and the standard deviation is 110. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 675? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550? (a) Approximately ____% of the SAT verbal scores are less than 675. (Round to two decimal places as needed.) (b) You would expect that approximately _____ SAT verbal scores would be greater than 550. (Round to the nearest whole number as needed.)
- Los Angeles workers have an average commute of 34 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 12 minutes. Let X represent the commute time for a randomly selected LA worker. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected LA worker has a commute that is longer than 31 minutes. Round to 4 decimal places. c. Find the 85th percentile for the commute time of LA workers. Round to 2 decimal places. minutesA sample of size 14 will be drawn from a population with mean 100 and standard deviation 40. Is it appropriate to use the normal distribution to find probabilities for x? Yes O No XViko
- A survey showed the following probabilities of having X number of dogs per househol X = number of dogs P(X) 1 2 3 4 5 0.3 0.25 0.15 0.15 0.1 0.05 what is the mean ? what is the standard deviation ?Los Angeles workers have an average commute of 29 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 12 minutes. Let X represent the commute time for a randomly selected LA worker. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected LA worker has a commute that is longer than 37 minutes. Round to 4 decimal places. c. Find the 70th percentile for the commute time of LA workers. Round to 2 decimal places. minutesUse the normal distribution of SAT critical reading scores for which the mean is 514 and the standard deviation is 110. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 625? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 575? (a) Approximately (Round to two decimal places as needed.) % of the SAT verbal scores are less than 625. (b) You would expect that approximately SAT verbal scores would be greater than 575. (Round to the nearest whole number as needed.)