A sanitarian tests samples of water from ponds in an area, where septic tanks are installed, for E. Coli. Historically, 1 in 10 tests will indicate that the water is contaminated. Due to driving distances, the sanitarian can only test 4 samples per day. Each sample is statistically independent of the other samples. 1. On any day, what

A sanitarian tests samples of water from ponds in an area, where septic tanks are installed, for E. Coli. Historically, 1 in 10 tests will indicate that the water is contaminated. Due to driving distances, the sanitarian can only test 4 samples per day. Each sample is statistically independent of the other samples. 1. On any day, what

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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Please only answer 3.19
From a large consignment of clementine fruit destined for a UK supermarket the cus- toms office is making a check at the boarder. According to the sender the weight of the fruit belongs to an unknown distribution of mean 50 g and variance 16 g. If the cus- toms officer takes 100 fruits at random what is the probability that their total weight will be more than 5040 g. Justify any assumptions you make in your calculations.
A diagnostic test for disease X correctly identifies the disease 95% of the time. False positives occur 7%. It is estimated that 5.13% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. What is the percentage chance that, given a negative result, the person does not have disease X? What is the percentage chance that, the person will be misclassified?
An asset has 0.5% chance of attack and 20% chance of the attack being successful if it happens. The asset is valued at 25 on a hundred-point scale. If an attack happens and is successful, then the asset loses 75% of its value. It is further given that the give data is 90% accurate. Calculate the risk. give clear handwritten answer!
According to a candy company, packages of a certain candy contain 24% orange candies. Find the approximate probability that the random sample of 300 candies will contain 29% or more orange candies. Using a normal approximation, what is the probability that at least 29% of 300 randomly sampled candies will be orange?
In a certain country, 47 percent of the population are on a strict diet. In a sample of 130 individuals, find the expected value and the variance for the number of individuals who are on a strict diet. Şelect one: O a. 56.4 and 29.89 O b. 70.5 and 37.37 O c. 56.4 and 32.38 O d. 61.1 and 34.87. O e. 61.1 and 32.38 Of. 65.8 and 37.37 O g. 65.8 and 34.87 O h. 70.5 and 29.89
A doctor is interested in the proportion of patients which live at least 5 years after being diagnosed with stage 4 breast cancer. He randomly selects 138 patients diagnosed with stage 4 breast cancer and follows them for 5 years. Suppose the true 5 year survival rate for stage 4 breast cancer is 38%. 1. How are the collection of all sample proportions of samples of size 138 distributed? NO 2. What is the probability that fewer than 34% of the patients studied survived for at least 5 years? o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a survived for at least 5 years. 3. What is the probability that more than 45% of the patients studied survived for at least 5 years? chance that fewer than 34% of the patients studied o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. O There is a survived for at least 5 years. chance that more than…
A graduating student keeps applying for jobs until she gets an offer. The probability of getting an offer at any trial is 0.35. a. What is the expected number of applications? What is the variance? b. If she has enough time to complete at most four applications, how confident can she be of getting an offer within the available time? c. If she wants to be at least 95% confident of getting an offer, how many applications should she prepare? d. Suppose she has time for at most four applications. For what minimum value of p can she have 95% confidence of getting an offer within the available time?
Suppose, you are running an experiment that has two outcomes, namely 'success' and 'failure'. You intially don't know the probability of success in a single experiment. But you know that, if you continue to run the experiment several times, the variance of the number of experiments required for the first success is 2. What is the expected number of experiments required for the first success ? [Hint: Try to determine the probability of success in a single experiment and recall the range of the values to which a probability must belong]
Indrilling a vertical wellbore, the spacing between major fractures are recorded. It has been found that this spacing is having a mean of 180o ft and a variance of 3,240,000 ft In the first 2000 ft drilling, there was no present of major fracture in the well. Determine the probability that there is a major fracture at the depth of 2000-3500 ft. Select one: a.0.57 b.o.43 C. O.19 do 82
A survey of prison guards shows that their average starting hourly wage is $30 and the variance is 9. If prison guard is selected, what is the probability that his/her hourly wage will be greater than $27 but less than $35?