Assume that the number of cases of COVID-19 per day are normally distributed with amean of 886 and a standard deviation of 85 on any given day.Enter your answers in decimal form rounded to 4 decimal places (i.e. 0.0003A instead of 0.03%).(a) What is the probability that on that day there will at most 830 cases?(b) What is the probability that on that day there will be between 742 and 906 cases?(c) What is the probability that on that day there will be at least 1,025 cases?Submit QuestionMacBook ProescF4F5F7F3F1#2$47QWtabFcaps lockshiftaltontioncommand

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Answered: Assume that the number of cases of…

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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For healthy individuals, between 18 and 48, the mean heart rate is 60 beats per minute (bpm) with a standard deviation of 10 bpm. If an individual between 18 and 48 is selected at random, what is the probability that person's heart rate is between 50 and 70 bpm?
which of these statements are true
Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?
Suppose the horses in a large stable have a mean weight of 1128⁢lbs, and a standard deviation of 58lbs. What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 10⁢lbs if 37 horses are sampled at random from the stable? Round your answer to four decimal places.
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.6 years, and standard deviation of 1.1 years.If 7 items are picked at random, 2% of the time their mean life will be less than how many years?Give your answer to one decimal place.
In 2000, the average height of a woman aged 20-74 years was 64 inches with an increase of approximately 1 inch from 1960. Suppose the height of a woman is normally distributed with a standard deviation of two inches. • What is the probability that a randomly selected woman in this population is between 64 inches and 70 inches? • What is the probability that one woman selected at random from this population all exceed 70 inches? O a. NONE Ob.0.9973, 6.0042 x 10-9 Oc 0.0973, 0.0228 Od.0.4987, 0.0013
Suppose that the only information you have is that in the last 90 days a total of 27,000 students visited. Can you say anything about the probability that more than 500 students visit on a given day? Suppose that you got some additional information saying that the standard deviation of students visiting per day is 50 students. Can you say anything more precise about the probability that more than 500 students visit on a given day?
If a random member (x) is selected from a normal distribution having a mean of 80 and standard deviation of 5, what is the probability that the value of x lies between 78 and 83? Show your formula etc along with your answer.
Suppose that the duration of a particular type of criminal trial is known to have a mean of 18 days and a standard deviation of 6 days. We randomly sample 9 trials.Give the distribution of ΣX.Find the probability that the total length of the 9 trials is more than 188 days. 70 percent of the total of 9 of these types of trials will last more than how long? (Round your answer to two decimal places.)days
The mean weight of all Goliath grouper caught on the Treasure coast is 367 pounds, with a standard deviation of 33 pounds. Suppose a random sample of 32 Goliath Grouper from the Treasure Coast are caught and weighed. Determine the probability that the average weight of the sample of 32 Goliath Grouper is within 7 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution to four decimal places , if necessary .
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 200 feet and a standard deviation of 46 feet. Let X = distance in feet for a fly ball. If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 180 feet? (Round your answer to four decimal places.)
The standard deviation of the lifespan of a certain brand of LED light bulbs is 22 months. The quality control department at this company takes a random sample of 95 LED light bulbs and finds the mean lifespan of sample is 144 months. What is the probability that this sample mean is within 1 months of the mean of all light bulbs produced by the company ? Round the solution to four decimal places, if necessary .

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