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"STA301 Quiz No. 2"
Multiple Choice Question
1 February 2021
Question No: 1
Which of the following statements is not an example of a continuous variable? ► The time to failure for an electronic system
► The weight gain in pounds per month for a calf
► The price for cheese cake in New York Style Cheese cake
► The time it takes to finish this statistics test
Question No: 2
Consider a large population with a mean of 160 and standard deviation of 20. A random sample of size 64 is taken form this population.
What is the standard deviation of the sample mean?
► 2,500
► 3,125
► 1,654
► 3,658
Question No: 3
Suppose "X" is equal to the number of heads, when you throw a coin three time. The possible value if x are:
► 0,1,2,3
► 1,2,3
► 0,1,2,3,....
► 1,2,3,....
Question No: 4
If we have f(x) = 4x, 0<x<.then f(x) is a:
► Probability density function
► Continues random variable
► Distribution function
► Probability distribution
Question No: 5
The sum of the Probabilities of bivariate probabilities function f(X, Y) is ONE then what will be the value of its marginal probability function f(X)?
► Will be one
► May and may not be one
► Will be the average of two variables
► Depends on the Y variable
Question No: 6
If the second moment ratio is less then 3 the distribution will be:
► Platykurtic
► Mesocratic
► Leptokurtic
► None of these
Question No: 7
E(10x +3) = __________
► 10 E(X)+3
► 10 E(X)
► E(X)+3
► 100E(X)
Question No: 8
Which of the probability distributions has three parameters?
► Hypergeometric distribution
► Normal distribution
► Binomial distribution
► Poisson distribution
Question No: 9
Let X and Y are TWO random variables. Which property of expectation is true?
► E(X + Y)= E(X) + E(Y)
► E(X + Y)= 2*(E(X) + E(Y)
► E(X + Y)= E*(E(X) + E(Y) - E(Y)
► E(X + Y)= 2*(E(X + Y)
Question No: 10
IF f(X) = 1/10, x=10, then E(X) is:
► 1
► 0
► -1
► 6/8
"STA301 Quiz No. 2" (2)
Multiple Choice Question
1 February 2021
Question No: 1
Using the normal approximation to the binomial distribution with n= 3 and p= 0.0571 the value of mean is:
► 0.1713
► 0.2132
► 0.5133
► 0.1923
Question No: 2
When a coin is tossed 3 times, the probability of getting 3 or less tails is
► 1
► 1/2
► 0
► 3/5
Question No: 3 (rep)
Which of the probability distributions has three parameters?
► Hypergeometric distribution
► Normal distribution
► Binomial distribution
► Poisson distribution
Question No: 4
In a normal distribution how much area lies between u + 3a ► 99.73% ► 70% ► 89% ► 68%
Question No: 5
In a normal distribution how much area lies between u + 2a
► 95.45%
► 94%
► 75%
► 85%
Question No: 6
If E(x) = 2.5 then E(2x+0)=…..'
► 5
► 2.5
► 0
► 3.5
Question No: 7
We can apply binomial distribution formula, when we are drawing a sample form finite population without replacement and the sample size "n" is not moor then ..... % of the population size N.
► 5%
► 8%
► 10%
► 1%
Question No: 8
Normal approximation to the binomial distribution is used when:
► Both of the above
► np>5
► nq>5
► None of the above
Question No: 9
We can obtain the individual probabilities of x and y form the joint probability function/distribution of f(x, y). Such individual probabilities are known as
► Marginal probabilities
► Bivariate probabilities
► Separate probabilities
► Independent probabilities
Question No: 10
If E(x) = 1.5 then E(2x+3)=…..' ► 6 ► 3 ► 2 ► 1.5
"STA301 Quiz No. 2" (3)
Multiple Choice Question
1 February 2021
Question No: 1
If the sampled population has a normal distribution, when is the sampling distribution of the sample mean also a normal distribution?
► Always
► Only when the sample size is at least 100
► Only when the sample size is at least 30
► Only when the sample size is at least 30
Question No: 2
Which of the following statement is not an example of continuous random variable?
► The time to failure for an electronic system
► The wait gain in pound per month for a Sam
► The price for cheese cake in New Work Style Cheese cake
► The time it takes you finish this statics test
Question No: 3
The probability mass function p(x) of a discreate random variable X is: P(0)=0.10,P(1)=0.15, p(2)=0.45, P(3)=0.05, and P(4)=0.025.
What is the value of cumulative distribution function for x=2
► 0.7
► 0.3
► 0.5
► 0.6
Question No: 4
In the binomial experiment successive trials are:
► Independent
► Dependent
► Both
► None
Question No: 5
Match the binomial probability P(x,23) with the correct statement.
► P (there are fewer 23 successes)
► P (there are at most 23 successes)
► P (there are more then 23 successes)
► P (there are at least then 23 successes)
Question No: 6
The two mutually exclusive outcomes in Bernoulli trial are usually called.
► Success and failure
► Variable and constant
► Mean and variance
► With and without replacement a trials are independent
Question No: 7
If the moment ratio is equal to 0,then the distribution will be:
► Symmetrical
► Positively Skewed
► Leptokurtic
► Negatively Skewed
Question No: 8
What does it mean when a data set has a standard deviation equal to zero:
► All of the value in the data are same
► Mean = median = mode
► The mean of the data is also zero
► All values of the data appear with the same frequency
Question No: 9
► The mean deviation of the normal distribution is approximately:
► 4/5 of the S.D
► 7/8 of the S.D
► 3/4 of the S.D
► 1/2 of the S.D
Question No: 10
A sales firm receive different calls from clients. If someone says, today it will receive "at most 3 calls" How many calls will be received?
► 0,1,2,3
► 1,2,3
► 1,4,5
► 0,1,2,3,5....
"STA301 Quiz No. 3"
Multiple Choice Question
19 February 2021
Question No: 1
Which of the following is not a criterion for a good problem situation? ► It must be clearly structured and defined. ► It must be linked to the course curriculum. ► It must be authentic. ► It must involve students in collaborative research of information.
Question No: 2
ß is the probability of:
► Reject HO/HO is true
► Accept HO/HO is false
► Reject HO/HO is true
► Accept HO/HO is false
Question No: 3
If we are testing H0 : mean = 50 against H1 : mean < 50 then the rejection region will be ► in the center
► on left side of mean
► on right side of mean
► on both sides
Question No: 4
The level of significance is also called:
► Type | error
► Type || error
► Power of test
► Acceptance region
Question No: 5
The confidence intervals become wide and less precise by
► None of these (Not Sure)
► increasing the sample size
► decreasing the sample size
► decreasing the level of significance
Question No: 6
The larger the standard error, the ….. the confidence interval
► Inaccurate
► Narrower
► Wider
► Accurate
Question No: 7
For test of hypothesis Ho:µ 1 = µ 2 and H1:µ1 < µ2, the critical region at 0.05 level of significance and n > 30
► Z> 1.96 (Not Sure)
► Z less and equal 1.96
► Z> 1.645
► Z<- 1.645
Question No: 8
No data found, please contact developer
► Accept HO (Not Sure)
► Reject HO
► None of the above
► Impossible to decide
Question No: 9
How can we interpret the 90% confidence interval for the mean of the normal population.
► There are 90% chances of falling true value of the parameter
► There are 10% chances of falling true value of the parameter
►There are 100% chances of falling true value of the parameter
► All are correct
Question No: 10
A confidence interval has a specified probability__________ of containing the true value of the parameter.
► a
► a/2
► 1-a
► 1+a
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