Assume that individuals have a 3% chance of suffering from a specific allergy.
a. Out of a population of 100, what is the chance that fewer than 2 people suffer from the allergy?
b. Approximate the number of allergy sufferers in part a) using the Poisson distribution.
TOPIC:Application of Binomial and Poisson distribution.
Assume that individuals have a 3% chance of suffering from a specific allergy. a. Out of...
Consider the probability that fewer than 15 out of 149 people have been in a car accident. Assume the probability that a given person has been in a car accident is 11% Approximate the probability using the normal distribution. Round your answer to four decimal places.
According to the National Institute of Allergy and Infectious Diseases, 6% of American adults have a food allergy. A large company plans a lunch reception for its 500 employees. Assume that employees are independent. Let the random variable X be the number of company employees who have a food allergy. (a) What are the assumptions/requirements of a Binomial distribution? Does this situation meet all these requirements? (b) What are the expected value and standard deviation of X (i.e., of the...
Assume that the proportion of green eyes in the world's population is approximately 080. A random sample of thirty people is taken, and six of the thirty have green eyes. A) Using the normal approximation to the binomial, find the probability of finding six people with green eyes in a sample of thirty B) Repeat part A, but this time use the binomial distribution instead of the normal approximation. C) Compare your results from parts A and B. Does the...
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9. Births in a hospital occur randomly at an average rate of 1.8 births per hour. process is a Poisson random variable. Assume that birth (3 pts) What about the probability of observing more than or equal to 2 births in a given hour at the hospital? b. e opo Wahat he probabiliy h dly 10 biths n day t d. What is the expected number of births in two hours? 10. Suppose that on...
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3. A small insurance company insures a modest number of people and the number X who will file 3. Find the following a claim in any given year follows a Poisson distribution with mean probabilities: (a) Exactly one person files a clain. (b) At least one person files a claim. (c) More than 4 people file a claim. (d) More than 2 and less than 10 will file a claim. (e) Suppose instead we know...
Consider the probability that greater than 94 out of 149 people have not been in a car accident. Assume the probability that a given person has not been in a car accident is 61%. Approximate the probability using the normal distribution. Round your answer to four decimal places.
Consider the probability that less than 16 out of 147 people have been in a car accident. Assume the probability that a given person has been in a car accident is 10%. Approximate the probability using the normal distribution. Round your answer to four decimal places.
Consider the probability that less than 15 out of 156 people have been in a car accident Assume the probability that a gven person has been in a car accident is 13 Approximate the probability using the normal distribution Round your answer to four decimal places Answer to) 2 Points r Keypad Tables Next
D Question 3 2 pts After collecting a random sample of 101 individuals living in Arizona, you find that the average income is $67,886. Using this sample, you determine that the 95% confidence interval for the sample mean is (61 881 73,891). Which of the following statements is correct? There is a 95% chance that the average income for the population of Arizona falls between $61,881 and S73,891 About 95% of the Arizona population have an income between $61,881 and...
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B6. A study is conducted in a class of 360 students investigating the problem of screen cracking in mobile phones. We assume that a) the number of screen cracking events follows a Poisson distributiorn and that b) the expected rate of screen cracking is 1 in 3 per phone per year. i) Write down the formula for the probability mass function of a Poisson random variable withh 3 marks parameter X, stating also the...