The average student loan debt for college graduates is $25,300. Suppose that that distribution is normal and that the standard deviation is $11,500. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar. a.  What is the distribution of X? X ~ N(Correct,Correct) b   Find the probability that the college graduate has between $22,050 and $31,400 in student loan debt. Correct c.  The middle 20% of college graduates' loan debt lies between what two numbers?      Low: $      High: $

The average amount of money spent for lunch per person in the college cafeteria is $5.97 and the standard deviation is $2.3. Suppose that 49 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of T? ¤ - N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $5.57 and $6. d. For the group of 49 patrons, find the probability that the average lunch cost is between $5.57 and $6. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes

Mary drives to work each morning, and the trip takes an average of µ = 38 minutes. The distribution of driving times is approximately normal with a standard deviation of σ = 5 minutes. For a randomly selected morning, which is the probability that Mary’s drive to work will take between 39 and 43 minutes?     a. 0.2620   b. 0.4206   c. 0.0793   d. 0.2380

The average student loan debt for college graduates is $25,050. Suppose that that distribution is normal and that the standard deviation is $10,900. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar.a.  What is the distribution of X? X ~ N(Correct,Correct) b   Find the probability that the college graduate has between $17,600 and $32,450 in student loan debt. c.  The middle 30% of college graduates' loan debt lies between what two numbers?     Low: $     High: $

Private nonprofit four-year colleges charge, on average, $27,247 per year in tuition and fees. The standard deviation is $6,689. Assume the distribution is normal. Let X be the cost for a randomly selected college. 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 Private nonprofit four-year college will cost less than 30,360 per year. c. Find the 71th percentile for this distribution. $ (Round to the nearest dollar.) Hint: Helpful videos: • Find a Probability [+] • Finding a Value Given a Probability [+] Hint Question Help: Message instructor Submit Question logi *3 F2 F3 F5 F8 5 * CO %24 * 3 2) 2

The average student loan debt for college graduates is $25,350. Suppose that that distribution is normal and that the standard deviation is $12,200. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar. a.  What is the distribution of X? X ~ N b   Find the probability that the college graduate has between $8,950 and $24,350 in student loan debt. c.  The middle 10% of college graduates' loan debt lies between what two numbers?

c. mean is 1 and the standard deviation is 0. O d. mean and the standard deviation can have any value. QUESTION 2 Which of the following is a characteristic of the standard normal probability distribution? a. The mean, median, and the mode are not equal b. The distribution is not symmetrical c. The standard deviation must be 0 d. The standard deviation must be 1 Click Save and Submit to save and submit. Click Save All Answers to save all answers.

On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 107 and a standard deviation of 17. Suppose one individual is randomly chosen. Let X = IQ of an individual.b. Find the probability that a randomly selected person's IQ is over 94.  Round your answer to 4 decimal places.c. A school offers special services for all children in the bottom 4% 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.d. Find the 25th and 75th percentiles (a.k.a Q1 and Q3) Round your answers to 2 decimal places.Q1: Q3:

Private nonprofit four-year colleges charge, on average, $27,088 per year in tuition and fees. The standard deviation is $7,205. Assume the distribution is normal. Let X be the cost for a randomly selected college. 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 Private nonprofit four-year college will cost less than 26,156 per year. c. Find the 60th percentile for this distribution. S (Round to the nearest dollar.)

Private nonprofit four-year colleges charge, on average, $26,521 per year in tuition and fees. The standard deviation is $7,011. Assume the distribution is normal. Let X be the cost for a randomly selected college. 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 Private nonprofit four-year college will cost less than 24,703 per year. c. Find the 70th percentile for this distribution. $ (Round to the nearest dollar.)