1. Patients arrive at a hospital accident and emergencydepartment at random follow a. Poisson distribution ata rate of 5 per hour.(a) Find the mean number and the standard deviation ofthe patients during any 90-minute period.(b) Find the probability that, during any 90-minuteperiod, the number of patients. arriving at the hospitalaccident and emergency department is(i) exactly 6(ii) at least 3

Let the random variable x having the poisson distribution with probability mass function (PMF)…

Answered: 1. Patients arrive at a hospital…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of 22 minutes and a standard deviation of 5 minutes. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than 17 minutes, (b) between 22 and 29 minutes, and (c) more than 30 minutes. (a) The probability that a randomly selected athlete uses a stairclimber for less than 17 minutes is (Round to four decimal places as needed.) (b) The probability that a randomly selected athlete uses a stairclimber between 22 and 29 minutes is (Round to four decimal places as needed.) (c) The probability that a randomly selected athlete uses a stairclimber for more than 30 minutes is (Round to four decimal places as needed.)
In 2000, the average height of a woman aged 20-74 years was 64 inches with an increase of approximately 1 inch from 1960. Suppose the height of a woman is normally distributed with a standard deviation of two inches. • What is the probability that a randomly selected woman in this population is between 64 inches and 70 inches? • What is the probability that one woman selected at random from this population all exceed 70 inches? O a. NONE Ob.0.9973, 6.0042 x 10-9 Oc 0.0973, 0.0228 Od.0.4987, 0.0013
Assume that females have pulse rates that are normally distributed with a mean of 74.0 beats per minute and a standard deviation of 12.5 beats per minute. (a) If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute. (Round your answer to 4 decimal places) (b) If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 80 beats per minute. (Round your answer to 4 decimal places)
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $190,000. Assume the standard deviation is $34,000. Suppose you take a simple random sample of 15 graduates. Round all answers to four decimal places if necessary. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For a single randomly selected graduate, find the probability that her salary is between $180,932 and $187,421.
The amount of time between taking a pain reliever and getting relief is normally distributed with a mean of 22 minutes and a standard deviation of 5 minutes. Find the probability that the time between taking the medication and getting relief is as follows. (Round your answers to four decimal places.) (a) at least 30 minutes(b) at most 17 minutes
The amount X spent (in $) by customers in the grocery store express lane follows some right-skewed distribution with mean $24 and standard deviation $15. 18. What is the approximate probability that the next 40 customers spend less than $1,000 in total? (A) 0.5199 (B) 0.6064 (C) 0.6628 (D) 0.5784 (E) 0.6331
A machine produces small rods and large rods. The diameters of small rods are normally distributed with mean 2 cm and standard deviation 0.12 cm. The diameters of large rods are normally distributed with mean 2.2 cm and standard deviation 0.15 cm. (i) Find the probability that a randomly chosen small rod has diameter greater than 2.15 cm. (ii) A box contains one small rod and one large rod. Find the probability that at least one of the rods has diameter greater than 2.15 cm.
SO, 5.78 Admitting students to college. A selective college would like to have an entering class of 1000 students.
How do I solve the problem in the picture?
The time required to complete a final examination in a particular forestry subject is normally distributed, with a mean of 100 minutes and a standard deviation of 15 minutes. What is the probability of the following? (a) A student will complete the exam in at most 90 minutes? (b) A student will complete the exam in more than 75 minutes but less than 95 minutes? (c) Assume that the class has 60 students and that the examination period is 2 hours in length. How many students do you expect will be unable to complete the exam in the allotted time?
The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of 25 minutes and a standard deviation of 6 minutes. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than 20 minutes, (b) between 25 and 32 minutes, and (c) more than 40 minutes. (a) The probability that a randomly selected athlete uses a stairclimber for less than 20 minutes is (Round to four decimal places as needed.) (b) The probability that a randomly selected athlete uses a stairclimber between 25 and 32 minutes is (Round to four decimal places as needed.) (c) The probability that a randomly selected athlete uses a stairclimber for more than 40 minutes is (Round to four decimal places as needed.)
The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of 24minutes and a standard deviation of 5 minutes. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than 20 minutes, (b) between 24 and 33 minutes, and (c) more than 40 minutes. (a) The probability that a randomly selected athlete uses a stairclimber for less than 20minutes is. (Round to four decimal places as needed.) (b) The probability that a randomly selected athlete uses a stairclimber between 24 and 33 minutes is. (Round to four decimal places as needed.) (c) The probability that a randomly selected athlete uses a stairclimber for more than 40 minutes is . (Round to four decimal places as needed.)

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