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

Case study mikhail gorbachevs 1988 un speechif the pace of

Case Study: Mikhail Gorbachev's 1988 UN SpeechIf the pace of improving US-Soviet relations seemed rapid, Mikhail Gorbachev's speech to the United Nations General Assembly would shift the process into overdrive.  In this ...

Topicnbspstate party structurethreadnbspfirst review the

Topic:  State Party Structure Thread:  First, review the Reading & Study presentation "Political Structure at the State Level" as an example about the structure of the Republican Party in Virginia Select 1 of the major p ...

What were the causes of the cold war also describe the

What were the causes of the Cold War? Also, describe the steps that the USA took to meet the perceived Soviet threat during the 1940s, '50s and '60s. Be sure to include the following topics: Iran crisis of 1946 Iron Curt ...

One thousand people are enrolled in a 10 year cohort study

One thousand people are enrolled in a 10 year cohort study. At the start of the study, 100 have diagnosed CVD. Over the course of the study, 80 people who were free of CVD at baseline develop CVD. What is the cumulative ...

In retrospect how might the united states under the truman

In retrospect, how might the United States under the Truman administration have handled the situation differently? How would you characterize the current situation and how might our relationship with the largest survivor ...

1 what are the advantages and disadvantages of using a

1. What are the advantages and disadvantages of using (a) figures, (b) tables, and (c) text to report the results of experiments in the research report? 2. Differentiate between random sampling and random assignment. Whi ...

Otto is trying out for the javelin throw to compete in the

Otto is trying out for the javelin throw to compete in the Olympics. The lengths of his javelin throws are normally distributed with a mean of 310 feet and a standard deviation of 13 feet. What is the probability that th ...

It is noted that research falls into four basic categories

It is noted that research falls into four basic categories, depending on whether the goal is to describe patterns of behavior, thought, or emotion (descriptive research); to examine the relationship among naturally occur ...

Researchers investigated the issue of race and equality of

Researchers investigated the issue of race and equality of access to clinical trials. The table below shows the population distribution and the numbers of participants in clinical trials involving lung cancer. Race / eth ...

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

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

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen