Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of 5 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible. b. If one of the trials is randomly chosen, find the probability that it lasted at least 22 days.
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- Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 18 days and a standard deviation of 6 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible.a. If one of the trials is randomly chosen, find the probability that it lasted at least 15 days. b. If one of the trials is randomly chosen, find the probability that it lasted between 19 and 24 days. c. 73% of all of these types of trials are completed within how many days? (Please enter a whole number)On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 102 and a standard deviation of 18. Suppose one individual is randomly chosen. Let X = IQ of an individual.Find the probability that a randomly selected person's IQ is over 99. Round your answer to 4 decimal places.A school offers special services for all children in the bottom 6% for IQ scores. What is the highest IQ score a child can have and still receive special services? Round your answer to 2 decimal places.Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places.Q1: Q3: IQR:should be 4 decimal places
- Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a standard deviation o=20. Find the probability that a randomly selected adult has an IQ between 88 and 122. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ between 88 and 122 is (Type an integer or decimal rounded to four decimal places as needed.) CFor numbers 31-37, refer to the given problem. The average time it takes for a group of college students to complete a certain examination is 46.2 minutes whereas the standard deviation is 8 minutes. Fifty college students were randomly selected to take the examination. Assume that the variable is normally distributed. What is the probability that the mean. time it takes for the group to complete the test will be less than 43 minutes? 32. Wnar B. 45 33 A. & 34. What is asked in the given problem? A. P(X 43) B. P(43) 35. What formula is to be used in finding the z-score? D. z = 4 Vi A. z = -X B. z = C. z = 36. What is the answer to the question? B. 15.54% A. 0.23% C. 23% D. 34.46%Assume that adults have IQ scores that are normally distributed with a mean of μ= 105 and a standard deviation o=15. Find the probability that a randomly selected adult has an IQ less than 123. Click to view page 1 of the table Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 123 is (Type an integer or decimal rounded to four decimal places as needed.). THE
- The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X=percent of fat calories. Round all answers to 4 decimal places if where possible a. What is the distribution of X? X N( b. Find the probability that a randomly selected fat calorie percent is more than 40. c. Find the minimum number for the lower quarter of percent of fat calories.Assume that adults have IQ scores that are normally distributed with a mean of µ = 105 and a standard deviation o = 20. Find the probability that a randomly selected adult has an IQ between 85 and 125. Click to view page 1 of the table. Click to view page 2 of the table. ... The probability that a randomly selected adult has an IQ between 85 and 125 is (Type an integer or decimal rounded to four decimal places as needed.)Suppose baby kittens' weights are normally distributed with a mean of 11.4 and a standard deviation of 2.1. The Z-score tells you how many units above the average (if Z-score is positive) or below the average (if Z- Score is negative) any particular baby kitten's weight is. Find the baby kitten weight that corresponds to the following Z-scores. Use the formula Z where u is the mean, o is the standard deviation, and X is the baby kitten weight. a. Z = = 0.07, X = b. Z = 1.63, X =
- Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 20 days and a standard deviation of 5 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible.The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 67 minutes and a standard deviation of 16 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible.b. Find the probability that a randomly selected person at the hot springs stays longer then 77 minutes. c. The park service is considering offering a discount for the 4% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes.d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.Q1: (. ) minutesQ3: ( )minutesIQR:( )minutes PLEASE ANSWER ALL 3 SUBS B, C, AND DAssume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P70, the 70-percentile. This is the temperature reading separating the bottom 70% from the top 30%.P70 = °C(Round answer to three decimal places)