The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $15. Find the probability that a randomly selected utility bill is (a)less than $66, (b) between $82 and $90, and (c) more than $110.(a) The probability that a randomly selected utility bill is less than $66 is(Round to four decimal places as needed.) The mean height of women in a country (ages 20-29) is 64.3 inches. A random sample of 70 women in this age group is selected. What is the probability that the meanheight for the sample is greater than 65 inches? Assume o = 2.86.The probability that the mean height for the sample is greater than 65 inches is(Round to four decimal places as needed.)

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The lifetime risk of developing pancreatic cancer is about one in 78 (1.28%). Suppose we randomly sample 200 people. Let X = the number of people who will develop pancreatic cancer. b. Using the formulas, calculate the (i) mean and (ii) standard deviation of X. c. Use your calculator to find the probability that at most eight people develop pancreatic cancer d. Is it more likely that five or six people will develop pancreatic cancer? Justify your answer numerically.
The lifetime risk of developing pancreatic cancer is about one in 78 (1.28%). Suppose we randomly sample 200 people. Let X = the number of people who will develop pancreatic cancer. b. Using the formulas, calculate the (i) mean and (ii) standard deviation of X. c. Use your calculator to find the probability that at most eight people develop pancreatic cancer d. Is it more likely that five or six people will develop pancreatic cancer? Justify your answer numerically.
assume that adults have IQ scores that are normally distributed with a mean of 99.5 and a standard deviation of 15.5. Find the probability that a randomly selected adult has an IQ greater than 118.3. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 118.3 is
In a certain region, the mean annual salary for electricians is $58,650. Let x be a random variable that represents an electrician's salary. Assume the standard deviation is $1420. If a random sample of 50 electricians is selected, what is the probability that the sample mean is greater than $59,000? A. 0.041 B. 0.403 C. 0.038 D. 0139
If x=26,412 tuition per a four year and n=7,498 is standard deviation. Assuming the distribution is normal. Find the probability that a random nonprofit four year college will cost less than 28,604 per year. And find the 70th percentile for this distribution
For women aged 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of 13.1 mm Hg. If a women aged 18-24 is randomly selected, find the probability that her mean systolic blood pressure is between 119 and 122 mm HG.answer options..a) 0.6700b)0.0833c)0.1154d) 0.9167
Assume 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 4.6 million visitors per day and a standard deviation of 880,000 visitors per day. What is the probability that the web site has between 3 million and 4 million visitors in a single day? If needed, round your answer to four decimal digits.
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 268 feet and a standard deviation of 43 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X - N( b. Find the probability that a randomly hit fly ball travels less than 219 feet. Round to 4 decimal places. c. Find the 75th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
The average amount of money spent for lunch per person in the college cafeteria is $5.99 and the standard deviation is $2.1. Suppose that 49 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. For the group of 49 patrons, find the probability that the average lunch cost is between $5.77 and $6.08.
Scores of each of the Knitting Aptitude tests were normally distributed with a mean of 6 hours and a standard deviation of 1.67 hours. Carrie will be taking the test tomorrow. Assume the data is normally distributed. Determine the probability of someone finishing in less than 2.17 hours 0.9891 0.5000 1.0 0.0109
Let the random variable X represent the profit made on a randomly selected day by a certain store. Assume that X is normal with a mean $360 and a standard deviation of $50.what is the value of P(X>$400)?
The lengths of pregnancies are normally distributed with a mean of 268days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 2%, then the baby is premature. Find the length that separates premature babies from those who are not premature. a. The probability that a pregnancy will last 309 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before____days are considered premature. (Round to the nearest integer as needed.)

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