The number of failures for a cytogenics machine from contamination in biological samples is a Poisson random variable with a mean of 0.02 per 90 samples. a. If the lab usually processes 300 samples per day, what is the expected number of failures per day? b. What is the probability that the machine will not fail during a study that includes 700 participants? (Assume one sample per participant.)

The number of failures for a cytogenics machine from contamination in biological samples is a Poisson random variable with a mean of 0.02 per 90 samples. a. If the lab usually processes 300 samples per day, what is the expected number of failures per day? b. What is the probability that the machine will not fail during a study that includes 700 participants? (Assume one sample per participant.)

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...

See similar textbooks

Similar questions

1. A cafeteria vending machine dispenses 6 ounces of coffee per cup, on the average, in such a way that the amount dispensed per cup is a normally distributed random variable. How fine should the machine be tuned; that is, to what level should the standard deviation be set, so that 99% of the cups are filled with at least 5.9 ounces of coffee?
2. Manufacturer A's television picture tubes have a mean lifespan of 7.13 years and a standard deviation of 0.8 years; while those of manufacturer B have a mean duration of 6.36 years and a standard deviation of 0.33 years. What is the probability that a random sample of 40 kinescopes from manufacturer A will have a mean lifespan that is 1 year longer than the mean lifespan in a sample of 45 kinescopes from manufacturer B? Round your answer to four decimal places after the period. Select one: a. The probability is 0.0469 b. The probability is 0.0464 c. None of the above d. The probability is 0.0455
I need help with this question.
QUESTION 26 Employees in a company experience distractions (phone calls, emails, unscheduled visits etc.) during their office hours. Given that the distraction times are right skewed with a mean of 95 minutes and a standard deviation of 18 minutes. What is the probability that for a random sample of 36 employees their mean distraction time is more than 100 minutes? 0.0004 0.0478 0.3906 0.9772
In a certain country, 47 percent of the population are on a strict diet. In a sample of 120 individuals, find the expected value and the variance for the number of individuals who are on a strict diet. Select one: O a. 56.4 and 32.38 O b. 65.8 and 34.87 O c. 65.8 and 37.37 O d. 56.4 and 29.89 O e. 70.5 and 37.37 f. 70.5 and 29.89 O g. 61.1 and 32.38 O h. 61.1 and 34.87
In a study of life expectancy in a certain region, the mean age at death was 70 years, and the standard deviation was 5 years. The life expectancy (years) is assumed to follow a skewed distribution. Suppose that a random sample of 45 people from this region is selected. The mean life expectancy (years) of the sample is considered a random variable. What is its standard error? 0.5976 O 2.2361 O 5.2341 O 0.1111
One fair coin is tossed 25 times, let X be the number of getting heads out of those 25 tossing experiments. What is the mean and variance of X? 12 and 6.25 12.5 and 6.25 10 and 2.5 12.5 and 2.5
Last year, a person wrote 118 checks. Let the random variable x represent the number of checks he wrote in one day, and assume that it has a Poisson distribution. What is the mean number of checks written per day? What is the standard deviation? What is the variance?
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
Suppose we have a normal disbn. with mean=10 and variance=5. We draw a sample size of size 8 from this distribution and compute the sample variance, s². What is the probability that s² > 10?
Hi, Respected M'am! Could please solve this question ASAP. Q: Marks on a CSS exam were normally distributed with a mean of 60 and a variance of 36.a. Find the probability that a randomly selected CSS exam will have a mark of at least 66?b. What percentage of CSS exams will have marks between 48 and 51?c. If the top 3.92% of CSS marks receive merit awards, what is the lowest mark eligible for an award?d. If there were 334 CSS exams with marks of at least 69, how many students took the exam?
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