Question 1

An orchid nursery, specialized in Cattleya and Dendrobium types, has 200 plants, 120 are cattleyas and 32 have a bug's infection. Of the 120 cattleyas, 31 are infected.
One plant is randomly selected from the nursery. If the plant is a dendrobium, what is the probability that it is not infected?

Accepted Answer

The answer of An orchid nursery, specialized in Cattleya and...

Question 2

Among the students in a Statistics course, 28% are physics majors, 38% are math majors, and 34% are biology majors. The percents of bilingual students within these three groups are 11%, 12%, and 23%, respectively.
A) What is the probability that a person selected at random from this course is bilingual?
B) What is the probability that a person selected at random from this course is a math major, knowing that is bilingual?
Round your answer to tree decimal places.

Accepted Answer

The answer of Among the students in a Statistics course,...

Question 3

National Bank has two branches in the city. In the downtown office, there are 8 workers, 6 of them are female. In the uptown office, there are 15 workers, 12 of them are female. One of these 23 workers has been chosen at random for a special training. If the chosen employee is male, what is the probability that he works downtown?
Round your answers to two decimal places.

Accepted Answer

The answer of National Bank has two branches in the...

Question 4

There are six well qualified applicants for two internship positions in a hospital. Three of these applicants are women and three are men. If the two interns are selected at random, what is the probability of selecting exactly two men?

Accepted Answer

The answer of There are six well qualified applicants for...

Question 5

Which of the following statements is true?
I  
II  
 III

Accepted Answer

The answer of Which of the following statements is true?
I...

Question 6

Calculate the values of:
A) 
  
B) 
  
C)

Accepted Answer

The answer of Calculate the values of:
A) 
  
B)...

Question 7

A college football team has available 5 defensive players and 3 offensive players. The coach must choose 4 players to represent the team during a Home Coming Week ceremony.
A) How many ways has the coach to select these 4 players?
B) How many selections are possible that result in 3 defensive and 1 offensive players?
C) If the players are randomly selected, what is the probability of sending to the ceremony 3 defensive and 1 offensive players? Round your answer to three decimal places.

Accepted Answer

The answer of A college football team has available 5...

Question 8

A sample of 10 selected from a population of 21 distinct objects is said to be a $\textbf{    random sample     }$  if each collection of size 10 has the same probability of being selected. What is this probability?

Accepted Answer

The probability of selecting a specific sample of 10 from 21 distinct objects is the reciprocal of the number of combinations of 21 objects taken 10 at a time, which is $\binom{21}{10} = 352,716$. Thus, the probability is $\frac{1}{352,716}$.

Question 9

A school bookstore sold 10 new books and 14 used books one they; one customer bought five books that day. Find the probability that:
A) Exactly three of the books bought by this customer are used.
B) At least three of the books bought by this customer are used.
C) All five of the books bought by this customer are of the same type.

Accepted Answer

The answer of A school bookstore sold 10 new books...

Question 10

Two international flights arrived to Miami International Airport from France and Denmark. The flight from France with 31 passengers and the flight from Denmark with 27 passengers. Customs Service randomly selects five passengers for baggage inspection. What is the probability that at most three of the selected passengers have arrived in the same flight?
Round your answer to three decimal places.

Accepted Answer

The answer of Two international flights arrived to Miami International...

Question 11

Out of 1000 students questioned, 320 only made the minimum required credit card payment at least one time in the past year.
(a) Give an estimate of the probability of
A = [ only minimum payment at least one time in a year ]
(b) Explain your reasoning.

Accepted Answer

The answer of  Out of 1000 students questioned, 320...

Question 12

A person is randomly selected from persons working in your state. Consider the two events
A = [ Number of books read last year ] B = [ College graduate ]
(a) Given that the person is a college graduate, would you expect the probability of A to be larger, the same, or smaller than the unconditional probability P ( A )? Explain your answer.
(b) Are A and B independent according to your reasoning?

Accepted Answer

The answer of  A person is randomly selected from...

Question 13

A cable TV provider assigns 75% of its service calls to an independent contractor and 10 % of these calls result in consumer complaints. The other 25 % of the service calls are made by the companies' own employees, and these result in a 5% complaint rate.
Find the
(a) Probability of receiving a complaint.
(b) Probability that the complaint was from a customer serviced by the contractor.

Accepted Answer

The answer of  A cable TV provider assigns 75%...

Question 14

Let A be the event that a person tests positive for a virus and let B be the event that the person actually has the virus. Suppose that the virus is present in 5% of the population. Because medical tests are sometimes incorrect, we have the probabilities
.98 = P (A | B) and .022 = P (A | B )
Find
(a) the probability of a positive test
(b) the probability person has the virus given that they test positive.

Accepted Answer

The answer of  Let A be the event that...

Quiz 4: Probability

An orchid nursery, specialized in Cattleya and Dendrobium types, has 200 plants, 120 are cattleyas and 32 have a bug's infection. Of the 120 cattleyas, 31 are infected. One plant is randomly selected from the nursery. If the plant is a dendrobium, what is the probability that it is not infected?

There are six well qualified applicants for two internship positions in a hospital. Three of these applicants are women and three are men. If the two interns are selected at random, what is the probability of selecting exactly two men?

Which of the following statements is true? I II III

Calculate the values of: A) B) C)

A sample of 10 selected from a population of 21 distinct objects is said to be a random sample \textbf{ random sample } random sample if each collection of size 10 has the same probability of being selected. What is this probability?

Out of 1000 students questioned, 320 only made the minimum required credit card payment at least one time in the past year. (a) Give an estimate of the probability of A = [ only minimum payment at least one time in a year ] (b) Explain your reasoning.

A sample of 10 selected from a population of 21 distinct objects is said to be a $\textbf{ random sample }$ if each collection of size 10 has the same probability of being selected. What is this probability?