In a small company of 30 individuals 6 have a virus that can by transmitted to individuals in close proximity. If 4 of these individuals are randomly sampled to help with a project what is the probability that exactly 2 of the individuals on the project have the virus?
a. 15%
b. 83%
c. 98%
In a small company of 30 individuals 6 have a virus that can by transmitted to...
a) 30% of people in a city smoke. If 7 individuals are randomly selected what is the probability that exactly 4 smoke? b) Let X be a binomial distribution with n = 30 and p = .6 then the standard deviation is c) Compute the probability of X successes. n = 7, X = 6, p = 0.3
Of 44 bank accounts, at a small bank, 20 accounts have values less than $1,000 and the rest have the values of at least $1,000. Suppose 6 accounts are randomly sampled. What is the probability that exactly 5 of the 6 accounts have values of at least $1,000?
Suppose you have 6 men and 8 women in a room. A) How many ways can you select a 6 person jury if there are no restrictions?(2) b) What is the probability that a randomly selected jury will have exactly 3 women?(2) c) What is the probability that a randomly selected jury will have no men? (2)
6. A common characteristic of obese individuals is BMI of at least 30. In a sample of workers at a factory, 262 have BMI less than 25, 159 have BMI at least 25 but less than 30, and 120 have BMI exceeding 30 a) Is there compelling evidence to conclude that more than 20% of the individuals in the sampled population are obese? Test at 5% significance level. Explain in this context the meanings of tyI und type II errors....
Of 47 bank accounts at a small bank, 30 accounts have values of less than $1,000 and the rest have values of at least $1,000. Suppose 5 accounts are randomly sampled. (See exercise 9 on page 184 of your textbook for a similar problem.) What is the probability that exactly 4 of the 5 accounts have values of at least $1,000? Question ABC Manufacturing has a policy that it will reject a shipment of parts from its supplier if inspectors...
“M” virus has struck (severe flu-like symptoms). Researchers randomly assigned a sample of individuals afflicted with the virus to one of three groups. Group 1 received a placebo, Group 2 received a low dose of the miracle drug “New-and-Improved Anti-M”, and Group 3 received a moderate dose of “New-and-Improved Anti-M.” Rates of recovery were recorded for each group in days, Compute the appropriate test to determine if the drug is effective. Moderate Dose Lo Dose Placebo 4 8 9 3...
Genetics: A geneticist is studying two genes. Each gene can be either dominant or recessive. A sample of 100 individuals is categorized as follows. Write your answer as a fraction or a decimal, rounded to four decimal places. Gene 2 Dominant Recessive Dominant 52 20 Gene 1 Recessive 19 9 Send data (a) What is the probability that in a randomly sampled individual, gene 1 is recessive? (b) What is the probability that a randomly sampled individual, gene 2 is...
Imagine that you have a sample of 2 chromosomes in the 2 island model of population structure. Each island has a size 10,000 diploid individuals. Assume that m=0.005. Calculate: (a) The probability of a coalescent event occurring before a migration event if the 2 chromosomes are sampled from the same population. (b) The probability of a coalescent event occurring before a migration event if the 2 chromosomes are sampled from different populations. (c) The probability of a coalescent event occurring...
Question 3: A new virus has been circulating in Townsville. Fortu- nately, a pharmaceutical company called Umbrella Inc. has developed a test for diagnosing - before symptoms appear - individuals who are infected so that they can be preemptively quarantined. The probability an individual is currently infected is . Therefore, the prob- ability he/she is not infected is. If an individual is infected, Umbrella Inc.'s test always reports "VIRUS DETECTED" (i.c. with probability 1), but if an individual is not...
Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests that 69.7% of 18-20 year olds consumed alcoholic beverages in 2008 (a) Suppose a random sample of 10, 18-20 year olds is taken. Is the use of binomial distribution appropriate for calculating the probability that exactly six consumed alcoholic beverages? (b) Calculate the probability that exactly 6 out of 10 randomly sampled 18-20 year olds consumed an alcoholic beverage? (c) What is the probability that at most...