PROBLEM 3Patients arriving at an outpatient clinic are routinelyscreened for high blood pressure. Assume that thiscondition occurs in 14% of the population.These are Bernoulli trials, with constant probability ofsuccess p= 0.14 on each trial, where success isfinding a patient with high blood pressure.(a) What is the probability that the third patient of the dayhas high blood pressure?(b) What is the average number of patients that must beseen to find the first patient with high bloodpressure?(c) If the clinic typically sees 48 patients cach day, what isthe probability of finding 4 patients with highblood pressure? (Use Excel to compute)

Let there is a sequence of trials, each having two outcomes, say Success and Failure, trials being…

Answered: PROBLEM 3 Patients arriving at an…

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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QUESTION 3 (a) 70% of students sitting a Statistics examination will complete it before the allocated time hasexpired. Ten (10) students, who are about to sit their Statistics examination, are randomlyselected. We wish to determine the probability that a certain number of students will completetheir examination before the allocated time has expired.(i). Define a suitable random variable, X, for the appropriate (and named) probabilitydistribution, identifying the value(s) of the associated parameters. (ii). What is the probability that at most 2 students will complete their examination before theallocated time has expired? (b) The credit ratings for secondary school teachers who apply for a loan from a certain bank arenormally distributed with a mean of 200 and a standard deviation of 50. Out of all suchapplicants over the next 6 months, what is the probability that a secondary school teacher willhave a rating that is between 175 and 275?
QUESTION 26 Employees in a company experience distractions (phone calls, emails, unscheduled visits etc.) during their office hours. Given that the distraction times are right skewed with a mean of 95 minutes and a standard deviation of 18 minutes. What is the probability that for a random sample of 36 employees their mean distraction time is more than 100 minutes? 0.0004 0.0478 0.3906 0.9772
Question 3 Assuming that births in PGH occur randomly at an average rate of 0.8 births per hour. What is the probability of having 8 births in a day?
1 and 2
4. A very large population has a mean of 180 and a standard deviation of 24. One day a sample of 64 observations is taken. On another day a sample of 100 observations is taken. Which of the following is true? The standard error of the mean will be smaller with 64 observations. It is impossible to determine any of the above given the available information. The standard error of the mean will be larger with 64 observations. The standard error of the mean will be the same with either 64 or 100 observations.
This question: 1 Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation of 3.5 hours. (a) What proportion of light bulbs will last more than 62 hours? (b) What proportion of light bulbs will last 51 hours or less? (c) What proportion of light bulbs will last between 59 and 62 hours? (d) What is the probability that a randomly selected light bulb lasts less than 45 hours? (a) The proportion of light bulbs that last more than 62 hours is. (Round to four decimal places as needed.) (b) The proportion of light bulbs that last 51 hours or less is (Round to four decimal places as needed.) (c) The proportion of light bulbs that lasts between 59 and 62 hours is (Round to four decimal places as needed.) (d) The probability that a randomly selected light bulbs lasts less than 45 hours is (Round to four decimal places as needed.) Ask my instructor Type here to search 立
(Don't write handwriting. .)
10. If the annual proportion of erroneous income tax returns filed with the IRS can be looked upon as a random variable having a beta distribution with a = 2 and ß = 9, what is the probability that in any given year there will be fewer than 12 percent erroneous returns?
A researcher selects a sample from a population with a mean of 50 and administers a treatment to the individuals in the sample. If the treatment is expected to decrease scores, what is the correct statement for the alternative hypothesis for a one tailed test
c. Tests from a laboratory show that 20% of rats have a deadly disease that can be transmitted via contact with their faeces. The Ministry of Health sought to verify this claim by testing some of the rats. (i) What is the probability that they will have to test at most 2 rats to find the first case of the disease? (ii) What is the standard deviation of tests before the first rat with the disease is found?
#1. Use Minitab to simulate 1000 rolls of a pair of dice. Find the number of times that the sum of the two dice is exactly 7. Enter that value here. Based on that result, use the relative frequency approach to estimate the probability of getting a 7 when two dice are rolled. Enter the estimated probability here. How does the estimated probability compare to the true probability? (The true probability found using the classical approach to probability is P(7)=.167) Use the classical approach (no Minitab needed) to find the probability for the sum óf the two dice. You can also verify that P(sum of 2 dice = 7) =.167. P(sum of 2 dice = 2) = P(sum of 2 dice = 3) = P(sum of 2 dice = 4) = P(sum of 2 dice = 5) = P(sum of 2 dice = 6) = P(sum of 2 dice = 8) = P(sum of 2 dice = 9) = P(sum of 2 dice = 10) = P(sum of 2 dice = 11) = P(sum of 2 dice = 12) %3D
(a) Suppose it is known that 5% of adults who take a certain medication experience side effects. If a random sample of 16 adults is drawn, what is E (1) (11) the expected number of adults are not having side effects? the probability that more than 14 adults are not having side effects? the probability that 9 or 12 adults are not having side effects?

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