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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A study reveals that 82% relationships end in the first two years. A random sample of 100 newly formed couples isselected.a. What is the probability that the sample proportion is less than 0.80?b. What is the probability that the sample proportion is within ±0.02 of the population proportion?
Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil change facility will perform 40 oil changes between 10 AM and 12PM. Treating this as a random sample, there would be a 10% chance of the mean oil change time being at or below what value.
The useful life of an electrical component is exponentially distributed with a mean of 4,000 hours. a. What is the probability the circuit will last more than 4,750 hours? b. What is the probability the circuit will last between 4,000 and 4,250 hours? c. What is the probability the circuit will fail within the first 3,750 hours?
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.
A professor sees students during regular office hours. Time spent with students follows an exponential dis- tribution with a mean of 10 minutes. Find the probability that a given student spends fewer than 20 minutes with the professor. Find the probability that a given student spends more than 5 minutes with the professor. Find the probability that a given student spends between 10 and 15 minutes with the professor.
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
2. Construct an experimental probability distribution. Use the 8-sided die link or random number generator in google classroom to simulate rolling two 8-sided dice 100 times. X represents the sum of the values found by rolling two 8-sided dice. a. Construct a relative-frequency table. b. Graph the experimental probability distribution.
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.
The following frequency table summarizes how many animals are surrendered to a local animal shelter daily. Dogs 13 Cats 15 Rabbits 4 Birds 8 Using experimental probability, what is the probability that a cat will be surrendered tomorrow? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

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