the producer has 4 premier artists all releasing CDs shortly. the profits on the CDs are independent and each will have a normal distribution with a mean of $1,250,000 and a standard deviation of $500,000. what is the probability that the avergae profit from the 4 CDs exceeds $1,500,000?

the producer has 4 premier artists all releasing CDs shortly. the profits on the CDs are...
5. The annual profits of small business owners in the town of Brownville has a normal distribution with mean $60,000 and standard deviation $5000. 8½ points a. Calculate Z scores for the following four profits: $50,000, $55,000, $65,000, and $70,000. b. What proportion of the distribution falls below the profit of $50,000? c. What proportion of the distribution falls between the profits of $55,000 and $50,000? d. What proportion of the distribution falls between the profit of $60,000 and $65,000?...
4. Suppose profits from investments in individual stocks follow a normal distribution with mean $100 and standard deviation $300. If you buy a single stock, selected at random, what is the probability that your profit is greater than zero? If you are buying a portfolio of 25 randomly selected stocks, what is the probability that your average profit is greater than zero?
The daily demand for coffee in a coffee shop approximately has a normal distribution with mean 220 cups and standard deviation 40. Assuming that the demands in different days are independent, what is the probability that the average demand in the next five days exceeds 240? ( Hint: Sum of five independent normal variables have also a normal distribution N(220, 40^2 /5), standard deviation=sqrt(40^2 /5). Use pnorm )
Students in Alice’s course have lap times that have an approximately normal distributionwith mean 76 seconds and standard deviation of 4 seconds. Students in Bob’s coursehave lap times that have an approximately normal distribution with mean 74 secondsand standard deviation of 3 seconds. Assume lap times for all students are independent of one another. (a) Approximate the probability that the mean lap time in Alice’s class of size 36 students exceeds 77. (b) Compute the probability that a random student...
ACT, Inc., the producer of the ACT test of readiness for college work, also produces tests for 8th and 9th grade students designed to help them to plan for the future. Two of these tests measure reading and mathematics achievement. Each has scores that range from 1 to 25. For students tested in the fall of their 8th grade year, the reading test has mean 13.9 and standard deviation 3.63. The mean score on the math test is 14.4 and...
A review of the sales records for Kim’s Karwash indicates that daily revenue can be represented by a normal distribution with mean of $2000 and standard deviation of $400. a. What is the probability that tomorrow’s profit will be greater than $2500? (Be sure to indicate the relevant Z-score(s) for the problem). B. What is the probability that profits fall between $1700 and $2300? (Be sure to indicate the relevant Z-score(s) for the problem). c. Suppose one day’s revenue is...
Answer the following questions given the following scenario (Be sure to show all work): A large retail company encourages its employees to to get customers to apply for the store credit card. Below is a distribution for the number of credit card applications (X) received per employee for an 8-hour shift. X 0 1 2 3 4 5 P(X) 0.23 0.32 0.20 0.15 0.08 0.02 1. What is the mean for the probability distribution? 2. What is the variance for...
QUESTION 4 The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.05 and a standard deviation of 0.30. Find the probability that the mean GPA of a random sample of 49 students selected from this university is 2.75 or lower. Round your answer to four decimal places. Attach File
4 0.0256 Find the indicated probability. 5) A multiple choice test has 8 questions each of which has 4 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly? Use the Poisson Distribution to find the indicated probability. 6) The town of Fastville has been experiencing a mean of 59.4 car accidents per year. Find the probability...
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The serum cholesterol levels of a population of 12-14 year olds follow a normal distribution with a mean of 162 mg/dl and a standard deviation of 28 mg/dl. Consider randomly selecting 9 individuals of this population, measuring each individual's cholesterol level, and then computing the sample mean of these 9 subjects 3. 1 pt If X is the sample mean cholesterol level of the 9...