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Please see below. I need assistance on these specific problems. Note that I am only given one attempt at each of these items. Please help!!!!

Please see below. I need assistance on these specific problems. Note that I am only given one attempt at each of these items. Please help!!!!

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)The heights of German men are normally distributed with a mean of 67.9 inches and a standard deviation of 2.1 inches. According to the Expanded Empirical Rule, what percentage of German men are: (a) Under 61.6 inches tall? Answer: % (b) Over 70 inches tall? Answer: % (c) Between 63.7 and 72.1 inches tall? Answer: %The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean u = $59.2 and standard deviation o = 28.8. Round z-scores and probabilities to 4 decimal places. (a) What is the probability that a single student randomly chosen from all those taking the test scores 566 or higher? ANSWER: For parts (b) through (d), consider a simple random sample (SRS) of 25 students who took the test. (b) What are the mean and standard deviation of the sample mean score x, of 25 students? The mean of the sampling distribution for x is: The standard deviation of the sampling distribution for x is: (c) What z-score corresponds to the mean score x of 566? ANSWER: (d) What is the probability that the mean score x of these students is 566 or higher? ANSWER:Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 27 dollars and a standard deviation of 8 dollars. Please use z-scores with at least 3 decimal places. A. What proportion of the bank's Visa cardholders pay more than 30 dollars in interest? Proportion = B. What proportion of the bank's Visa cardholders pay more than 39 dollars in interest? Proportion = C. What proportion of the bank's Visa cardholders pay less than 16 dollars in interest? Proportion = D. What interest payment is exceeded by only 18% of the bank's Visa cardholders? Interest Payment =The length, X, of a fish from a particular mountain lake in Idaho is normally distributed with u = 9.2 inches and o = 1 inches. Please round z-scores to 2 decimal places and give probabilities to at least 4 decimal places. (a) Is X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER: (b) Write the event "a fish chosen has a length of over 7.2 inches" in terms of X : (c) Find the probability of this event: (d) Find the probability that the length of a chosen fish was greater than 11.7 inches: (e) Find the probability that the length of a chosen fish was between 7.2 and 11.7 inches

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