A vaccine under research for COVID-19 was found to provide immunity to 80% of the people under test. The vaccine is now given to 20 employees of an office in emergency. Compute the probability that exactly k employees will develop immunity to COVID-19, where k = R mod 20. For example, if R = 17, then k = 17. However, if R = 156, then k = 16.

Q: A group of n = 10 students wants to know if the commuting time from home to college by bus is less…

A: The data is given as: Students Car Bus Difference 1 17 12 5 2 20 15 5 3 10 12 -2 4 25 18…

Q: There is a machine that sends binary messages (0 or 1). It is known that 0 and 1 are sent in the…

A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…

Q: A large public university in California is worried about covid cases for this coming fall semester.…

A: Given: Let D denote existence of Covid. P denote Positive result. N denote negative result. P (N |…

Q: A survey of schools of business indicates that 16% of the faculty positions in schools of business…

A: Given that  Sample size n =300 Favorable cases x =51 Sample proportion p^=x/n =51/300 =0.17

Q: It is known that 2% of all tests for the COVID-19 virus are positive. Out of the 50 people with…

A: Let E1 = Event that the individual has COVID-19 E2 = Event that the individual does not have…

Q: Suppose 3% of all athletes are actually using the endurance-boosting hormone EPO. The test for the…

A: Given information: Given that 3% of all athletes are actually using the endurance-boosting hormone…

Q: As reported in 2010, Hawaii is the state with the highest rate of tuberculosis (TB), at 8.8 cases…

A: Sensitivity of a test can be define as the percentage of cases in which the test result is positive,…

Q: A group of n = 10 students wants to know if the commuting time from home to college by bus is less…

A: Given The data is as follows: Car Bus Difference 17 12 5 20 15 5 10 12 -2 25 18 7 20 22…

Q: Setting α to 0.05 instead of 0.1 increases the probability of:

A: Here use basics of hypothesis testing and error

Q: A simple random sample of 100 flights of a large airline (call this Airline 1) showed that 64 were…

A: We have given that  favourable cases, X1 = 64 favourable cases, X2 = 80 Sample size, n1 = 100 = n2

Q: What is the probability that from the sample, less that 80.5% of them own a cell phone? 0.2033 What…

A: Let p be the population proportion of adults who own cell phones. Given that, Population proportion…

Q: A researcher calculates that his experiment had a power of .65. What does this mean?   A. There is…

A: It is given that the power of the experiment is 0.65.

Q: Suppose that 40% of the population is infected by COVID-19. A test kit indicates as positive with…

A:

Q: Example 5.3. An experiment on rabbits is designed by taking N = 20 identical rabbits. But rabbits…

A: Introduction :-  Here we have to find an appropriate probability law means distribution for the…

Q: Consider the following scenario and select ALL conditions that FAIL. George is a big fan of music…

A:

Q: The proportion of people in a given community who have Covid-19 infection is 0.005. A test is…

A: Given information: The proportion of people who have COVID infection is 0.005. The probability that…

Q: Suppose 14% of the residents in a lockdown building have the COVID-19 disease. There is a diagnostic…

A: Let D denote the having the COVID-19 disease. P(D) = 0.14 P(D') = 1-0.14 = 0.86 P(+|D) = 0.8 P(+|D')…

Q: a. What is the probability that a bulb is defective? b. Hence, what is the probability that two or…

A: here given , 1. Twelve electric bulbs are drawn independently every hour from a production line at a…

Q: For item 11 and 12. In an experiment to study the dependence of hypertension on smoking habits, the…

A: Given data:   Non-smokers Moderate smokers Heavy smokers Hypertension 21 36 30 No…

Q: Q3 : The accuracy of detecting covid-19 using a specific PCR device is 90%. Knowing that the…

A: Given Information: The accuracy of detecting Covid -19 = 90% or 0.9   Percentage of population who…

Q: Suppose 9% of the residents in a lockdown building have the COVID-19 disease. There is a diagnostic…

A: Let D - disease P(D) = 9% =0.09 P(D') = 1-0.09 = 0.91 P(+|D) = 0.8 P(+|D') = 0.25 We need to find…

Q: Assume that his shots are Bernoulli trials, and that he makes 1 in 5 of his shots. How many three…

A: As per given condition that his shots are Bernoulli trials, and that he makes 1 in 5 of his shots.…

Q: The probability that one test is positive. The probability that 20 tests will have 5 positive cases.…

A: Here use binomial theorem because  Each observation independent from each other  Finite number of…

Q: Suppose a drug company designs to develop a new drug to prevent colds. The company states that the…

A: Suppose a drug company designs to develop a new drug to prevent colds. The company states that the…

Q: Suppose that a machine performs n independent number of trials in the making of bulbs. Each trial…

A: Binomial distribution:The binomial distribution gives the probability of number of successes out of…

Q: Identical ICs are tested for transistor failure, and it is found that the average failure is 3.4…

A:

Q: An experiment consists of randomly selecting one of three coins, tossing it, and observing the…

A: a.   Consider that events A, B, and C denotes the selection of to headed coin, biased coin and fair…

Q: A random sample of 202 business faculty members was asked if there should be a required foreign…

A: Given data is appropriate for z test for single proportion because it is a large sample test.

Q: A certain mass of Uranium-235 emits radioactive particles at a rate of 20 disintegrations per…

A: Solution

Q: Suppose that a response can fall into one of k = 3 categories with probabilities P = 0.4, p, = 0.3,…

A:

Q: b. In Covid-19 pandemic, one out of every 500 people of Dhaka city were affected during this month.…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.