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

The term critical value is often used to refer to the value

The term critical value is often used to refer to the value of a test statistic that determines statistical significance at some fixed α level for a test. For example,  + 1.96 are the critical values for a two-tailed z-t ...

A simple random sample of 120 men results in a mean of 80

A simple random sample of 120 men results in a mean of 80 beats per minute, and a standard deviation of 11 beats per minute. Based on the sample results, the researcher concludes that the pulse rates of men have a standa ...

Assume that you want to test the claim that the paired

Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is μd = 0. Compute the value of the t test statistic. Round intermediate calculations to four decima ...

Corrections for phase 4in confidence interval calculations

CORRECTIONS FOR PHASE 4 In confidence interval calculations, sqrt(364) goes in the bottom for E; this has thrown off your intervals - too narrow; t should be negative in the hypothesis test, but your conclusion is correc ...

Another simple question can you give me 3 points regarding

Another simple question, can you give me 3 points regarding to origins of the Cold War.

In an investigation of environmental causes of disease data

In an investigation of environmental causes of disease, data were collected on the annual mortality rate ( deaths per 100,0000) for males in 61 large towns in England and Wales. In addition, the water hardness was record ...

Mechanics hardware needs to accumulate 41000 in 3 years to

Mechanic's Hardware needs to accumulate $41,000 in 3 years to purchase new equipment. What sinking fund payment would they need to make at the END of each month, at 6% interest compounded monthly? (Use Table 12-1 from yo ...

Reading journal assignment stage iifor this portion of the

Reading Journal Assignment Stage II For this portion of the journal, you will create five journal entries, each addressing the prompts given below. Each entry will be one page in length, double spaced, with 12 point font ...

1 why do researchers calculate the coefficient of

1. Why do researchers calculate the coefficient of determination? 2. What does a coefficient of determination of .40 indicate?

A researcher obtained a sample of 180 participants between

A researcher obtained a sample of 180 participants between the ages of 18 and 24 and calculated the phi coefficient between whether they smoked cigarettes and whether they used marijuana (yes vs. no). Because the correla ...

  • 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