In a certain region, it rains on average once every 10 days during the summer. Rain is predicted on average for 85% of the days when rainfall actually occurs, while rain is predicted on average for 25% of the days when it does not rain. Assume that rain is predicted for tomorrow. What is the probability of rainfall actually occurring on that day?

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A: Let us denote X= number of plants that do not grow healthy n= number of trials= 10 probability of…

Q: A volcano erupts 10 times in 200 years. What is the probability that it will erupt next year?

A: Poisson Distribution: If the average probability of an event happening per unit, and there is a need…

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A: It is known that an average of 5 trains pass through grand central terminal every 30 minutes Let X:…

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 12 seeds are planted,…

A: Sample size, n = 12 Probability(grow) = 95% = 0.95

Q: uppose the probability that it will rain tomorrow is 0.66. What is the probability that it will not…

A: We will use the complement property of probability

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A:

Q: The probability that it will rain on a given day is 0.23. What is the probability that it will not…

A: The probability that it will rain on a given day is 0.23 P(Rain) = 0.23 We know that , complement of…

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A:

Q: Suppose the influenza vaccine this year is 88% effective to prevent the flu among high-risk…

A: Probability, p = 88% = 0.88Sample size = 25

Q: If a seed is planted, it has a 75% chance of growing into a healthy plant. If 6 seeds are planted,…

A: From the provided information, If a seed is planted, it has a 75% chance of growing into a healthy…

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A: Introduction to Geometric distribution: Suppose there are independent trials and the probability of…

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A: Given that there are 365 days in a year.  So (365×24)=8760 hours in a year.    I am at school 4…

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A: Given that an average of 40 calls is required in a typical eight hour shift.

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A:

Q: On average there are 3 leaks for every 100 miles of a pipeline. What is the probability that a…

A: On average there are 3 leaks for every 100 miles of a pipeline

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A:

Q: A tennis player makes a successful first serve 40% of the time. Assume that each serve is…

A: The objective of this question is to find the probability of a specific outcome in a binomial…

Q: If a seed is planted, it has a 90% chance of growing into a healthy plant. If 10 seeds are planted,…

A: Given that if a seed is planted, the chance of growing into a healthy plant is 90%.

Q: Suppose on a given day, there is a 43% chance Emily will forget her wallet when going to work. What…

A: Let x follows binomial distribution with parameters n = 10 and p = 0.43   The pdf of binomial…

Q: A disease affects 1 out of every 500 people. If you have the disease, you test positive 90% of the…

A: P( a person affected by the disease) = P(D) = 0.002 P( a person not affected by the disease) = P(ND)…

Q: A certain popular song is played on a radio station once in every 15 songs. Suppose you have a long…

A:

Q: the probability an airplane arrives on time 80% of the time.Out of ten flights, what is the…

A: Given that  Probability an airplane arrives on time is 80%   P =0.80 (1-P) = 1-0.80 = 0.20 Sample…

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A: It is given that Atlanta experiences an average of one ice storm every 5 years.

Q: A tennis player makes a successful first serve 30% of the time. If she serves 33 times, what is the…

A: Solution: Let X be the number of first serves and n be the number of times she serves. From the…

Q: Suppose on a given day, there is a 23% chance Emily will forget her wallet when going to work. What…

A: Introduction: Denote X as the random variable of interest here, which is the number of days that the…

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A: Step 1: Identify the formula to be usedWe will use Poisson distribution in this case since there is…

Q: If 70% of a population is vaccinated, and the hospitalization rate is 5 times higher for an…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.