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- Q1
In a computer laboratory, the teacher wants to find out if there is a defective computer. Suppose three computers are tested randomly, she asks one of her CSS students to list all the possible outcomes, such that D represents the faulty computer and N represents the non-defective computer. Let X be the random variable for the number of defective computers. Find the value of the random variable X.
X = 0, 1, 2, 3
X = 0, 1, 2
X = 1, 2
X = 0, 1
120s - Q2
What is the sum of the probabilities P(X) in tossing 2 coins?
∑PX=2
∑PX=3
∑PX=0
∑PX=1
60s - Q3
What is the value of X or the number of tails in tossing 2 coins?
X = 0, 2
X = 0, 1
X = 0, 1, 2
X = 0, 1 , 1
120s - Q4
What is the sum of the probabilities P(X)?
∑PX=0
∑PX=1
∑PX=3
∑PX=2
60s - Q5
A fair six-sided die is rolled, and the result is represented by X. If the average of X is 3.5, what does this mean?
Rolling a 3 or 4 happens more often than other numbers.
The number 3.5 is the most common result.
If you roll the die many times, the average result will be close to 3.5.
The die will always land on 3 or 4.
120s - Q6
Two lottery games have the same average prize but different variances. What Does this tell us?
Variance does not affect how prizes are spread out.
Both lotteries will always give the same prize.
The lottery with the lower variance has a bigger average prize.
The lottery with the higher variance has more unpredictable winnings.
120s - Q7
Which is NOT a characteristic of normal distribution?
Asymptotic
Symmetrical
Bell-Shaped
Continuos
60s - Q8
What is the total area of a normal curve?
0.5
1
0
100
60s - Q9
Who are the 2 mathematicians to extend the study of Normal Distribution?
Pierre-Simon de Laplace and Kar Friedrich Gauss
Abraham De Moivre and
Pierre-Simon de Laplace
Abraham De Moivre and Kar Friedrich Gauss
Pierre-Simon de Laplace and Gottfried Leibniz
120s - Q10
Find the area under the standard normal distribution curve to the left of z = 1.83
0.2884
0.3340
0.4664
0.4573
120s - Q11
What is the area that corresponds to z=-2.26?
0.0119
0.0136
0.0129
0.0122
120s - Q12
What is the area under the normal curve between z1=3.02 and z2=-1.63?
0.4741
0.4471
0.4451
0.4571
120s - Q13
x=25, μ= 40, σ=36, z=?
z = -0.63
z = -0.74
z = -0.42
z = -0.58
120s - Q14
What percent of the area under a normal curve is within 3 standard deviations?
99.7%
95%
100%
68%
60s - Q15
What is the probability greater than z=1?
15.87%
81.34%
84.13%
18.75%
120s