(a) P(Z ≤ −1.84) = (b) P(Z > -1.39) = (c) P (1.09 < Z < 2.19) =
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Suppose Z follows the standard
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- If z is a standard normal variable, find the probability that z is between -2.07 and 3.28Which normal distribution curve is the most skewed, according to the following skewness: A B C 0.4 -0.4 0.2A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the table. Number of complaints Probability 0 0.16 1 0.26 2 0.35 week? 3 0.10 4 0.08 5 0.05 What is the standard deviation of complaints received per Please round your answer to the nearest hundredth. Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
- Use the tabulated cumulative normal distribution (Table A.2 or the inside cover of Navidi) to find the missing value in the probability distribution plots shown below. The numbers below the curve are the relevant values of X, and the numbers above the curve represent the shaded area. a. b. 1 0.4 0.3 0.2 0.1- 00 0.4 0.3 0.2 0.1- 0.0 04 0.3 0.2 0.1- 0.0 ??? Distribution Plot Normal, Mean=0, StDev=1 -1.175 0 X Distribution Plot Normal, Mean=0, StDev=1 0 X Distribution Plot Normal, Mean=0, StDev=1 0 ??? 1 ??? 0.025Assume that the traffic to the web site of Smiley's People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 6.5 million visitors per day and a standard deviation of 3 million visitors per day. What is the probability that the web site has more than 1.5 million visitors in a single day? Question 3 options: 0.7545 0.5543 0.9522 0.3454D. The mean annual cost to attend a attend a college is $44,324. Assume the distribution of annual costs follows the normal probability distribution and the standard deviation is $4,590. Ninety percent of all students pay less than what amount?
- The weekly earnings of shift supervisors in the glass industry follow a normal probability distribution with a mean of $1,000 and a standard deviation of $100. What is the z value of income X of a supervisor who earns $1,100 per week? What about a supervisor who makes $900 a week?When parking a car in a downtown parking lot, drivers pay according to the number of hours or fraction thereof. The probability distribution of the number of hours cars are parked has been estimated as follows: X 12 3 4 5 6 7 8 P(X) 0.23 0.149 0.13 0.08 0.057 0.022 0.026 0.306 A. Mean = B. Standard Deviation = The cost of parking is 2.5 dollars per hour. Calculate the mean and standard deviation of the amount of revenue each car generates. A. Mean = B. Standard Deviation =Customers of a restaurant have been complaining about food poisoning over the past week. A health professional was called to investigate. She tested a representative sample of the eggs and reported that 24% of the sample eggs tested positive for the salmonella bacterium. If a second health professional tests 66 eggs at random, what is the probability that exactly 14 test positive for salmonella? Use a normal distribution to approximate the answer and write it as a decimal rounded to the nearest hundredth.
- The average student loan debt for college graduates is $25,200. Suppose that that distribution is normal and that the standard deviation is $13,300. 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 $22,700 and $29,650 in student loan debt. c. The middle 30% of college graduates' loan debt lies between what two numbers? Low: $ High: SA project’s profit (in thousands), is a random variable with normal distribution. The variance equal to the cube of the mean. The probability of the project loss (negative profit) is 6.94%. The expectation of the profit is:Please answer the question in the photo. Thank you!
