**Title: Coin Toss Probability Using Normal Curve Approximation****Description:**A coin is tossed 256 times. Use the normal curve approximation to find the probability of obtaining:(a) Between 117 and 137 heads inclusive (b) Exactly 132 heads (c) Fewer than 109 or more than 149 heads **Resources:**- [Click here to view page 1 of the standard normal distribution table.](#)- [Click here to view page 2 of the standard normal distribution table.](#)---**Guided Question:**(a) The probability is ___.*(Round to four decimal places as needed.)* The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean $ \mu = 6.3 $ minutes and a standard deviation $ \sigma = 3.2 $ minutes. If a random sample of 64 customers is observed, find the probability that their mean time at the teller's window is(a) at most 5.7 minutes;(b) more than 6.7 minutes;(c) at least 6.3 minutes but less than 7.1 minutes.- Click here to view page 1 of the standard normal distribution table.- Click here to view page 2 of the standard normal distribution table.---(a) The probability that the mean time is at most 5.7 minutes is \_\_\_\_. (Round to four decimal places as needed.)

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The football coach randomly selected fifteen players and timed how long each player took to perform a certain drill. The times (in minutes) were: 3.5, 3.3, 3.2, 4.7, 4.4, 3.5, 3.9, 4.5, 4.8, 5.2, 5.4, 4.0, 4.3, 4.1, 5.1 (a) Show that this data approximates a normal distribution. (b) Determine a 90% confidence interval for the mean time for all players.
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d) Which number of minutes per day represents the 70th percentile? (Round to the nearest whole number as needed.)
Use a normal approximation to find the probability of the indicated number of voters. In this case, assume that 120 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted. Probability that exactly 32 voted ... The probability that exactly 32 of 120 eligible voters voted is 0.0411. (Round to four decimal places as needed.) Question Viewer
Assume you have a normal distribution representing the likelihood of project completion times. The mean of this distribution is 14, and the standard deviation is 4. The probability of completing the project in 15 or fewer days is: a. 0.59 b. 0.27 c. 0.93 d. 0.75
Private nonprofit four-year colleges charge, on average, $26,375 per year in tuition and fees. The standard deviation is $6,685. 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 24,855 per year. c. Find the 80th percentile for this distribution. $ (Round to the nearest dollar.)
Private nonprofit four-year colleges charge, on average, $26,168 per year in tuition and fees. The standard deviation is $6,656. 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 24,347 per year. c. Find the 74th percentile for this distribution. $ (Round to the nearest dollar.)
Consider the probability that more than 9595 out of 155155 CDs will not be defective. Assume the probability that a given CD will not be defective is 60%60%. Approximate the probability using the normal distribution. Round your answer to four decimal places.
Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $227 with a standard deviation of $68. Random samples of size 21 are drawn from this population and the mean of each sample is determined.
Title A random sample of 36 observations has been drawn from a normal distribution... Description </o:p> A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47<></53.>
The length of life, in hours, of a drill bit in a mechanical operation has a Weibull distribution with a = 3 and ẞ= 60. Find the probability that the bit will fail before 12 hours of usage. The probability is ☐ (Round to four decimal places as needed.)

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