There is a normal distribution with mean 10 and standard deviation of 8. What is the probability of selecting a value less than 15? Round every step to 2 decimal points.
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- The joint probability distribution of two random variables, Xand Y, is given in the table below. Y=-4 Y--3 Y--1 Y-2 X--4 0.06 0.12 0.17 0.18 X--1 0.00 0.03 0.00 0.21 X-0 0.02 0.01 0.20 0.00 From the information in the table, calculate each of the following probabilities. Round your answers to two decimal places. (If necessary, consult a list of formulas.) (a) Given that Y=-3, compute the probability that X=0. Given that X2 -1, compute the probability that (b) Y2-3.The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3939 grams and a standard deviation of 555 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4771 grams. Round your answer to four decimal places.in studying a problem statement, you find the mean and the variance along with the sample size. The probability distribution to consider it is almost surely The normal The Uniform The Binomial The Poisson
- If the mean of the following probability distribution is 3.44, what is the variance? Select one: a. 1.25 b. 9.64 c. 13.08 d. 16.52The table gives the joint probability distribution of the number of sports an individual plays (X) and the number of times she may get injured while playing (1) X=3 0.15 0.06 0.15 0.02 Y=4 Y=3 Y=2 Y=1 X=1 0.12 0.05 0.10 0.15 The covariance between X and Y. xy.is (Round your answer to two decimal places. Enter a minus sign if your answer is negative.) The correlation between X and Y, con(X, Y), is (Round your answer to two decimal places. Enter a minus sign if your answer is negative) An increase in the number of sports an individual plays will tend to X=2 0.08 0.05 0.03 0.04 the number of times she may get injured while playingQuestion 3 Saved 4) Listen A customer service team receives an average of 376 emails every day. Assume that the standard deviation for the number of emails is 96 emails. A random sample of 40 days was selected. a. What is the expected value of the sample mean? b. What is the standard deviation of the sample mean? Round your answer to two decimal places (e.g. 2.12). c. What is the probability that the average number of emails received was between 360 and 372? Round your answer to two decimal places with a leading zero (e.g. 0.18).
- A small retail store has customers whose ages are normally distributed, with a mean of 37.5 and a standard deviation of 7.6. What is the probability that a randomly selected customer is younger than 25 years old? Round your answer to three decimal places, e.g. 0.685.A campus finance officer finds that, for all parking tickets issued, fines are paid for 78% of the tickets. The fine is $2. In the most recent week, 620 parking tickets have been issued.a. Find the mean and standard deviation of the number of these tickets for which the fines will be paid.b. Find the mean and standard deviation of the amount of money that will be obtained from the payment of these fines.3. For the standardized normal distribution, the following probabilities is ? (1.26 < Z < 1.63) = a) P(Z = 1.63) – P(Z = 1.26) b) P(Z = 1.63) + P(Z = 1.26) %3D %3D c) 0.5 – P(z= 1.63) d) b & c.
- A small computing center has found that the number of jobs submitted per day to its computers has a distribution that is approximately mound-shaped and symmetric, with a mean of 88 jobs and a standard deviation of 5. Where do we expect approximately 95% of the distribution to fall? between 73 and 103 jobs per day between 98 and 103 jobs per day between 78 and 98 jobs per day O between 83 and 93 jobs per dayThe demand for a product of Carolina Industries varies greatly from month to month. The probability distribution in the following table, based on the past two years of data, shows the company's monthly demand. Unit Demand Probability 300 400 500 600 0.20 0.30 0.35 0.15 (a) If the company bases monthly orders on the expected value of the monthly demand, what should Carolina's monthly order quantity be for this product? (b) Assume that each unit demanded generates $70 in revenue and that each unit ordered costs $50. How much will the company gain or lose in a month (indoitars) if it places an order based on your answer to part (a) and the actual demand for the item is 300 units?An analysis of the grades on the first test in History 101 revealed that they approximate a normal curve with a mean of 75 and a standard deviation of 8. The instructor wants to award the grade of A to the upper 10% of the test grades. To the nearest percent, what is the dividing point between an A and a B grade?
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