In a recent year, a hospital had 4175 births. Find the mean number of births per day, then use that result and the Poisson distribution to find the probability that in a day, there are 14 births. Does it appear likely that on any givenday, there will be exactly 14 births?The mean number of births per day is(Round to one decimal place as needed.)

Given : In a recent year, a hospital had 4175 births.

Answered: In a recent year, a hospital had 4175…

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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In an election, suppose that 65% of voters support creating a new fire district. If we poll 220 of these voters at random, the probability distribution for the proportion of the polled voters that support creating a new fire district can be modeled by the normal distibution pictured below. Complete the boxes accurate to two decimal places.
The probability that a randomly chosen sales prospect will make a purchase is 20%. What is the probability (to three decimal places) that the salesperson will make four or more sales if six sales calls are made on a given day?
In a three-digit lottery, each of the three digits is supposed to have the same probability of occurrence (counting initial blanks as zeros, e.g., 32 is treated as 032). The table shows the frequency of occurrence of each digit for 90 consecutive daily three-digit drawings. Digit 0 1 2 3 4 5 6 7 8 9 Total Frequency 22 27 26 29 30 25 33 29 20 29 270 picture Click here for the Excel Data File (a) Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Perform a uniform goodness-of-fit test. Round your test statistic value to 2 decimal places and the p-value to 4 decimal places.) Test statistic Degrees of freedom p-value (b) Choose the correct answer by drawing a bar chart for the above data. O The graph will reveal that 8 occurs least frequently. O The graph will reveal that 9 occurs least frequently. O The graph will reveal that 6 occurs least frequently. O The graph will reveal that 7 occurs least frequently. (c) At a = .02, we cannot reject the hypothesis that…
The author of a book makes an average of 2 typing errors per page. Find the probability that a randomly selected page from the author's book will have 3 errors. Assume the number of errors per page has a Poisson distribution. Below ?e denotes Euler's number,?≅2.718.e≅2.718.
All students in a high school were surveyed about two sports. The results are shown in the graph. Frequency 600 400 200 0 190 Sports Survey 565 Basketball 340 Football Like Basketball or Football Both 100 Neither a) How many students were surveyed? b) What is the probability that a student (chosen at random) likes only basketball? Express your answer as a decimal, rounded to 2 decimal places. c) What is the probability that a student (chosen at random) likes both basketball and football? Express your answer as a percentage. d) What is the probability that a student (chosen at random) likes neither basketball nor football? Express your answer as a fraction in lowest terms.
In an election, suppose that 55% of voters support a new tax on fast food. If we poll 123 of these voters at random, the probability distribution for the proportion of the polled voters that support a new tax on fast food can be modeled by the normal distibution pictured below. Complete the boxes accurate to two decimal places.
Researchers have shown that the num-ber of successive dry days that occur after a rainstorm for particular regions of Catalonia, Spain, is a random variable thatis distributed exponentially with a mean of 8 days. Source:International Journal of Climatology.a. Find the probability that 10 or more successive dry daysoccur after a rainstorm.b. Find the probability that fewer than 2 dry days occur aftera rainstorm.
In an election, suppose that 35% of voters support a school levy increase. If we poll 220 of these voters at random, the probability distribution for the proportion of the polled voters that support a school levy increase can be modeled by the normal distibution pictured below. Complete the boxes accurate to two decimal places .
In an election, suppose that 60% of voters support a school levy increase. If we poll191 of these voters at random, the probability distribution for the proportion of the polled voters that support a school levy increase can be modeled by the normal distibution pictured below. Complete the boxes accurate to two decimal places.
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All students in a high school were surveyed about two sports. The results are shown in the graph. Frequency 600 400 200 0 190 Sports Survey 565 Basketball 340 Football Like Basketball or Football Both 100 Neither a) How many students were surveyed? b) What is the probability that a student (chosen at random) likes only basketball? Express your answer as a decimal, rounded to 2 decimal places. c) What is the probability that a student (chosen at random) likes both basketball and football? Express your answer as a percentage. d) What is the probability that a student (chosen at random) likes neither basketball nor football? Express your answer as a fraction in lowest terms.
Assume a Poisson distribution. The mean number of bankruptcies filed per minute in the U.S. in a given year was three.Using R find the probability that at least five businesses will file bankruptcy in any given minute? Answer

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