24. At a certain university the probability that an entering freshman will graduate within 4 years is 0.6. From an incoming class of 2000 freshmen, find (A) The expected number of students who will graduate within 4 years. LE I S)9 (B) The standard deviation of the number of students who will graduate within 4 years. S00 0d o 75
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- In the study of fingerprints, an important quantitative characteristic is the total ridge count for the ten fingers of an individual. Suppose that the total ridge counts of individuals in a certain population are approximately normally distributed with a mean of 140 and a standard deviation of 50. Find the probability that an individual picked at random from this population will have a ridge count of: (Explain your answer in each bullet) 200 or more Less than 100 Between 100 and 200 Between 200 and 250 In a population of 10,000 people, how many would you expect to have a ridge count of 200 or more?Today, the waves are crashing onto the beach every 5 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 2 seconds after the person arrives is P(x = 2) = The probability that the wave will crash onto the beach between 0.4 and 2.9 seconds after the person arrives is P(0.4 < x < 2.9) = The probability that it will take longer than 1.5 seconds for the wave to crash onto the beach after the person arrives is P(x > 1.5) = Suppose that the person has already been standing at the shoreline for 1.3 seconds without a wave crashing in. Find the probability that it will take between 2.7 and 4.8 seconds for the wave to crash onto the shoreline. 27% of the time a person will wait at least how long before the wave crashes in?…The average THC content of marijuana sold on the street is 9.7%. Suppose the THC content is normally distributed with standard deviation of 1%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible,a. What is the distribution of X? X ~ N(Correct,Correct) b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 8.4. c. Find the 65th percentile for this distribution. % Submit QuestionQuestion 7
- The average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. The number of shoppers is normally distributed. For a random day, what is the probability that there are between 200 and 400 shoppers at the grocery store? The answer should be typed as a decimal with 4 decimal places.Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.1 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 1.4 seconds after the person arrives is P(x = 1.4) = The probability that the wave will crash onto the beach between 1.3 and 4.7 seconds after the person arrives is P(1.3 < x < 4.7) = The probability that it will take longer than 3.92 seconds for the wave to crash onto the beach after the person arrives is P(x > 3.92) = Suppose that the person has already been standing at the shoreline for 1.1 seconds without a wave crashing in. Find the probability that it will take between 2.4 and 3.8 seconds for the wave to crash onto the shoreline. 84% of the time a person will wait at least how long before the wave crashes in?…Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 52 feet. We randomly sample 49 fly balls. Part (a) If X = average distance in feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places. X-N 250 7.43 Part (b) What is the probability that the 49 balls traveled an average of less than 242 feet? (Round your answer to four decimal places.) Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability. ▲▲ 270 230 O 230 ✓ 230 Part (c) 240 240 250 250 260 260 270 230 240 240 250 250 Find the 70th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.) ft 260 260 270 270 sig arnin