CNNBC recently reported that the mean annual cost of auto insurance is 1002 dollars. Assume the standard deviation is 258 dollars, and the cost is normally distributed. You take a simple random sample of 36 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of ? ī - N( c. What is the probability that one randomly selected auto insurance is less than $1040? d. a simple random sample of 36 auto insurance policies, find the probability that the average cost is less than $1040. e. For part d), is the assumption of normal necessary? O YesO No

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

Normal Distribution Calculator: http://onlinestatbook.com/2/calculators/normal dist.html 2. Suppose the scores on a chemistry test were normally distributed with a mean of 78 and a standard deviation of 10. a. Label the horizontal axis appropriately on the Normal curve at right. b. Find the probability that the student earned fewer than 75 points. c. Find the probability that the student earned at least 70 points. 48 58 68 78 88 98 108 d. Find the probability that the student earned between 80 and 90 points. Shade the appropriate area in the figure, and then determine the proportion. e. Find the probability that the student earned either less than 80 points or more than 90 points.

CNNBC recently reported that the mean annual cost of auto insurance is 1017 dollars. Assume the standard deviation is 249 dollars, and the cost is normally distributed. You take a simple random sample of 37 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of a? ¤ - N( c. What is the probability that one randomly selected auto insurance is less than $997? d. a simple random sample of 37 auto insurance policies, find the probability that the average cost is less than $997.

Provide an appropriate response. Use the Standard Normal Table to find the probability. IQ test scores are normally distributed with a mean of 105 and a standard deviation of 11. An individual's IQ score is found to be 114. Find the z-score corresponding to this value. Round the answer to the nearest hundredth. O A. -0.82 OB. -1.22 O C. 0.82 O D. 1.22 C

You play a game of chance that you can either win or lose (there are no other possibilities) until you lose. Your probability of losing is p = 0.61. What is the probability that ita. takes 2 games until you lose. b. takes 5 games until you lose. c. Find the mean c. Find the standard deviation.

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.)

Many college admissions want to know your class percentage in addition to your grades.  The grades are normally distributed.  A certain university insists that a student place in at the 90th percentile.  if the mean is 79.45 and the standard deviation is 5.37, what is the 90th percentile? a.88.07 b.85.01 c.86.33 d.90

Use the normal distribution of SAT critical reading scores for which the mean is 514 and the standard deviation is 115. 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 550​? Click to view page 1 of the standard normal table. LOADING... Click to view page 2 of the standard normal table. LOADING...       Question content area bottom Part 1 (a) Approximately 1.181.18​% of the SAT verbal scores are less than 650. ​(Round to two decimal places as​ needed.) Part 2 (b) You would expect that approximately 0.880.88 SAT verbal scores would be greater than 550. ​(Round to the nearest whole number as​ needed.)

Please answer B, C, & D.