For which of the following situations would a binomial distribution not be a reasonableprobability model for the random variable?A researcher observes the group of patients who received an experimental drug. The randomvariable, x, is the number of patients who had an undesirable side effect.A researcher is interested in the gender of babies born at a specific hospital. The researcherplans to observe the next 50 births and record the gender. The random variable, x, is the numberof girls born among the 50 observed.O A car rental company is interested in the color (red, green, grey, black, or white) of car thatcustomers prefer to rent. The random variable, x, is the color of car selected by the customer.O A manufacturer of lamps is interested in the number of lamps produced that are faulty so herandomly selects 75 lamps and tests whether or not they function correctly. The randomvariable, x, is the number of lamps that do not work properly.None of the other answers are correctAll of the above are binomial distributions.

We have given that the statements about to the binomial distribution. Here, need to find out the…

Answered: For which of the following situations…

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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We are interested in analyzing data related to college football. Use S to denote the team is in the SEC and use W to denote a team has a winning season. The probability that a team is in the SEC in the data set is 5.5%. The probability that a team has a winning season is 52.5%. The probability that a team is in the SEC and has a winning season is 3.55%. What percentage of teams are in the SEC or had a winning season? b. What percentage of people teams are in the SEC and did NOT have a winning season? Given a team had a winning season, what is the probability that they are in the SEC? а. с.
The magazine Sports Illustrated asked a random sample of 250 Division I college athletes, "Do you believe performance enhancing drugs are a problem in college sports?" Suppose that 30% of all Division I athletes think that these drugs are a problem. What is the probability that more than 35% of those interviewed admit performance enhancing drugs are a problem in college sports? a 0.2376 O b 0.5721 O c 0.9578 O d 0.0422
According to a survey, 30% of college students said that they spend too much time on Facebook. Suppose this result holds true for the current population of all college students. A random sample of six college students is selected. a. Define the random variable X b. X takes on what values?X = ..................................................... c. Determine the number of trials n and the probability of success for this binomial distribution. d.Find the probability that exactly three of these six college students will say that they will spend too much time on Facebook. Round your answer to three decimal places.
To avoid unpleasant surprises when the statement comes, you try to record all your credit card transactions in a ledger. Unfortunately, you tend to neglect recording about 5% of your purchases. Suppose that last month, you had 25 purchases on your credit card account. When the statement arrives, you count the number of purchases you forgot to record. The random variable X represents the number of unrecorded purchases in a month with 25 transactions. Find the probability that you would record all 25 purchases. 2.98 .2774 1.25 .3526
Question Completion Status: Moving to another question will save this response. Question 32 A barbershop requires appointments for perms and haircuts. Ten percent of those making appointments cancel or simply fail to show up. Next week's appointment calendar has 64 appointments. let x be the number of missed appointments out of the 64. The probability that more than 2 cancellations and/or no-shows will occur during the next week is: 0.9611 0.1063 Ob. 0.7795 C d. 0.8937 0.3784 Moving to another question will save this response. 22 tv A Question 32 of 35 CA Question 32 of 35
A medical study looked at the factors that impact birth weight. The variable Visit Doctor indicated whether a woman visited a physician during the first trimester of her pregnancy. The variable Low Weight indicated whether a baby was born weighing under 2500 grams. Assuming that this sample is representative, answer the following probability questions. Low Weight Visit Doctor No Yes Total No 64 36 100 Yes 66 23 89 Total 130 59 189 1. What is the probability of randomly selecting a woman who had a low weight baby given that she had visited the doctor in the first trimester? 2. What is the probability of randomly selecting a woman who had a low weight baby given that she had not visited the doctor in the first trimester? 3. Using the probabilities that you have computed in (1) and (2) to answer the question, "Does visiting the doctor in the first trimester increase or decrease your risk of having a baby with a low birth weight?"
Yorkies Company has fixed costs of $80,000 per month. Variable costs are $12 per item produced. The selling price per unit is fixed at $20. From the past company data, you have determined that Yorkies Company's monthly output follows a normal probability distribution with mean 11,100 and variance 550,000 . Calculate the chance that Yorkies will make a loss this month. a.11% b.10% c.9% d.7% e.7%
You have decided that you should become more familiar with random variables and probability. You first roll a 20-sided die. What is the probability of observing a 10 on any given roll of the die? Respond with an answer to the second decimal point, that is, 0.09 instead of 0.10.
According to the recent report, scientists in New England say they have identified a set of genetic variants that predicts extreme longevity with 77% accuracy. Assume 150 patients decide to get their genome sequenced. If the claim by scientists is accurate, what is the probability that fewer than 70% of the patientswill get a correct diagnosis for extreme longevity? Group of answer choices A. 0.1422 B. 0.0722 C. 0.2214 D. 0.0208
Workers of an insulation manufacturer are undergoing testing for asbestos traces in their lungs. Three employees with positive traces are requested to be sent to a medical center for more testing. Suppose that 40% of workers are positive for asbestos traces. What is the probability that ten workers should be tested to find three positives? Random Variable: Distribution: Computation:
The number of automobiles sold by a dealership in a day is an example of The binomial random variable. b. A continuous random variable. c. The normal random variable. d. A discrete random variable.
British Travel Agency has asked a junior manager to investigate flight delays during the week before Christmas at Heathrow Airport. The random variable X is the number of flights delayed per hour. The results are shown in the following table. x 0 1 5 2 3 4 6 7 8. p(x) 0.10 0.08 0.07 0.15 0.12 0.08 0.10 0.12 0.08 0.10 a) Show that the probability distribution is well defined and derive the cumulative probability distribution. b) Find the probability that there would be three through seven (inclusive) delayed flights per hour? c) Find the mean and variance of flights delayed per hour.

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