Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Statistics and Probability Expert

TRUE or FALSE:

problem 1: Mutually exclusive events are also independent.

problem 2: If events A and B are independent, then the probability of A given B, that is, P(A|B) is generally not equal to 0.

problem 3: Events that have no sample space outcomes in common and, therefore cannot occur simultaneously are referred to as independent events.

problem 4: In a binomial distribution the random variable X is continuous.

problem 5: The variance of the binomial distribution is √np(1-p)

problem 6: The binomial experiment consists of n independent, identical trials, each of which results in either success or failure and the probability of success on any trial must be the same.

problem 7: The mean and variance are the same for a standard normal distribution.

problem 8: In a statistical study, the random variable X = 1, if the house is colonial and X = 0 if the house is not colonial, then it can be stated that the random variable is discrete.

problem 9: For a discrete random variable which can take values from 0 to 150, P(X ≤ 100) is greater than P(X<100).

problem 10: The number of defective pencils in a lot of 1000 is an ex of a continuous random variable.

problem 11: All continuous random variables are normally distributed.

Multiple Choice problems:

problem 1: Two mutually exclusive events having positive probabilities are ______________ dependent.

A) Sometimes
B) Always
C) Never

problem 2: ___________________ is a measure of the chance that an uncertain event will occur.

A) Random experiment
B) Sample Space
C) Population
D) Probability
E) Probability Distribution

problem 3: In which of the following cases can we say that A1 and A2 are complements?
A) A1 and A2 are mutually exclusive
B) A1 and A2 are totally exhaustive
C) A1 and A2 are independent
D) P(A1/A2)= P(A1)
E) If both A and B are satisfied

problem 4: In which of the following are the two events A1 and A2, independent?
A) A1 and A2 are mutually exclusive
B) The intersection of A1 and A2 is zero
C) The probability of A or B is the sum of the individual probabilities
D) P(A1/A2) = P(A1)
E) Choices A and B

problem 5: If p = .45 and n= 15, then the corresponding binomial distribution is:

A) Left skewed
B) Right skewed
C) Symmetric
D) Bimodal

problem 6: Which of the following is a valid probability value for a random variable?

A) -0.7
B) 1.01
C)  0.2
D) All of the above

problem 7: Which of the following statements about the binomial distribution is not correct?

A) Each trial results in a success or failure
B) Trials are independent of each other
C) The probability of success remains constant from trial to trial
D) The experiment consists of n identical trials
E) The random variable of interest is continuous

problem 8: Which one of the following statements is an essential assumption of the binomial distribution?

A) Sampling must be done with replacement
B) The probability of success remains constant from trial to trial
C) The probability of success is equal to the probability of failure in each trial
D) The number of trials must be greater than 2
E) The total number of successes in an experiment cannot be zero

problem 9: A fair die is rolled 10 times. What is the probability that an even number (2, 4 or 6) will occurless than 3?

A) 0.0547
B) 0.1719
C) 0.8281
D) 0.1172
E) 0.9453

problem 10: In a study conducted for the State Department of Education, 30% of the teachers who left teaching did so because they were laid off. Assume that we randomly select 12 teachers who have recently left their profession. Find the probability that 5 or more of them were laid off.

A) 0.2311
B) 0.7237
C) 0.2763
D) 0.7689
E) 0.4925

problem 11: The probability or the area under the normal curve between Z = 2 and Z = 3 is ________________ the area under the normal curve between Z = 1 and Z = 2.

A) equal to
B) less than
C) greater than
D) A, B or C above dependent on the value of the mean
E) A, B or C above dependent on the value of the standard deviation

problem 12: If the normal random variable X has a mean of µ and a standard deviation σ, then (X-µ)/σ has a mean and standard deviation, respectively:

A) 1 and 0
B) X ¯and s
C) µ and σ
D) 0 and 1

problem 13: The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a standard deviation of 5 grams. If we select one box of cereal at random from this population, what is the probability that it will weigh more than 904 grams?

A) 0.8849
B) 0.3849
C) 0.1151
D) 0.7698
E) 0.2302

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M9973

Have any Question? 


Related Questions in Statistics and Probability

You plan to start saving for your sons college education he

You plan to start saving for your son's college education. He will begin college when he turns eighteen and will need $4,000 then and in each of the following three years. You will make a deposit at the end of this year ...

A company manufactuirng compter chip finds that 8 of all

A company manufactuirng compter chip finds that 8% of all chips manufactured are defective. Management is concerned that high employee turnover is partially responsible for the high defect rate. In an effort to decrease ...

Simple takes about 25 minutes to answer in a study

Simple! (Takes about 25 minutes to answer.) In a study evaluating "Why minority males graduate American high-schools at lower rates than their counterparts", the following is needed: 1) Envisioned Quantitative Design 2) ...

Uncertain scenario-maximizing the meanthe potential

Uncertain Scenario-Maximizing the Mean The potential revenues of all projects are in fact uncertain. The company determines that the revenue for project 1 is following a uniform distribution ranging from $1,200,000 to $2 ...

A committee comprised of 15 members is called upon to

A committee comprised of 15 members is called upon to choose the prettiest color: red, blue, or yellow. The committee members simultaneously announce their strict preference relations among these three colors. If red is ...

During a certain week the mean price of gas was 2709 per

During a certain week the mean price of gas was $2.709 per gallon. A random sample of 35 gas stations is drawn from this population. What is the probability that the mean price for the sample was $2.697 and $2.716 that w ...

For each of the following three cases explain i the

For each of the following three cases, explain (i) the hypotheses with a plausible definition of p1 and p2, (ii) whether or not the data indicate practical significance (use common sense and/or general knowledge), and (i ...

Develop a research question that addresses one of the

Develop a research question that addresses one of the unknowns in the question: Positive interactions between the CEO and board members lead to enhanced and better performance of the Corporation . Address the following 1 ...

How did some indian religious leaders add certain christian

How did some Indian religious leaders add certain Christian teachings to their traditional beliefs?

Starting in the 10th century movements to reform the church

Starting in the 10th century, movements to reform the church began. Why was the church in need of reform, and what were the consequences of the Gregorian Reforms? How did these reforms change society? 1 and a half page e ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro