A baseball team has scheduled its opening game for April 1. If it rains on April 1, the gameis postponed and will be played on the next day that it does not rain. The team purchases insuranceagainst rain. The policy will pay 1000 for each day, up to 3 days, that the opening game is postponed.The insurance company determines that the number of consecutive days of rain beginning on April 1 isa Poisson random variable with mean 0.8. What is the standard deviation of the amount the insurancecompany will have to pay?

Given The baseball team put insurance against rain And if rain occurs the insurance company has to…

Answered: A baseball team has scheduled its…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A particular fruit's weights are normally distributed, with a mean of 450 grams and a standard deviation of 12 grams.If you pick one fruit at random, what is the probability that it will weigh between 430 grams and 482 grams?
The average weekly unemployment benefit in Idaho is $272. Suppose that the benefits are normally distributed with a standard deviation of $43. Find the probability that the average weekly u employment benefit of a random sample of 15 benefits chosen in Idaho is less than U.S. average, which is $299.
A particular fruit's weights are normally distributed, with a mean of 492 grams and a standard deviation of 14 grams. If you pick one fruit at random, what is the probability that it will weigh between 479 grams and 511 grams
The downtime per day for a certain computing facility has averaged 4.0 hours and a standard deviation of 1.98 for the last year. Find the probability that the average daily downtime for a period of 20 days is between 1 and 5 hours.
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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?
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Assume that your aunt wrote 139 letters to her family members in 2019. Let the random variable x represent the number of these letters that she wrote on a given day. Assume also that this scenario has a Poisson distribution. What is the mean number of letters written per day? Round to 3 decimal places. What is the standard deviation? Round to 3 decimal places.
Solon commutes daily from his home to school. On the average, the trip takes 84 minutes, with a standard deviation of 12 minutes. Assume that the travel time is normally distributed. He leaves his house at 7:45 am.If his next class has a quiz from 9:00 am to 9:10 am, what is the probability that he will only arrive in class at some point during the quiz?How long will his travel time be in the longest 5% of trips?Suppose that he has meetings at 9:15 am for the next four days. Find the probability that he will be late in at least two of these meetings.
Last year, a person wrote 116 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?
At a large manufacturing company the mean age of workers is 37 years, and the standard deviation is 6. Assume the variable is normally distributed. If a random sample of 44 workers is selected, what is the probability that the mean age of the workers in the sample is between 36 and 40 years.

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