In: Statistics and Probability
Question 12 pts
Which of the following would be a discrete variable?
Group of answer choices
Number of cans of dog food eaten
Number of inches reflecting someone’s height
Amount of soup in a can
Count of students in class
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Question 22 pts
A main characteristic of a discrete probability distribution is that ___________.
Group of answer choices
each probability is between -1 and +1
each probability is between 1 and 2
the probabilities add to 0
the probabilities add to 1
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Question 32 pts
If Sam can purchase up to 3 ice cream cones and the probabilities that he/she purchases 0, 1, 2, or 3, are 0.20, 0.45, 0.35, and 0.05 respectively, is this a valid probability distribution?
Group of answer choices
No, as they do not add to 1
Yes, as they are all positive
No, as no probability is between 0 and 1
Yes, as all are between 0 and 1
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Question 42 pts
If Alex can purchase up to 2 ice cream cones and the probabilities that he/she purchases 0, 1, or 2 are 0.10, 0.50, and 0.40, what is the mean number of cones that he/she will purchase?
Group of answer choices
0.7
1.3
1.0
1.5
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Question 52 pts
When conducting a binomial experiment, how many times will the experiment be repeated?
Group of answer choices
n
2
infinite
p(x)
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Question 62 pts
The mean of a binomial distribution is found using which of the following formulas?
Group of answer choices
p*q
n*p
q*x
p*x
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Question 72 pts
In binomial probabilities, q represents _______.
Group of answer choices
the negative probability
p-1
the probability of x
1-p
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Question 82 pts
A right skewed distribution has most of the data points to the _______ of the distribution.
Group of answer choices
left
right
top
middle
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Question 92 pts
A left skewed distribution can be described as __________.
Group of answer choices
having most data in higher values and a tail of data to the left
having most data in the lower values and a tail of the data to the right
a symmetrical distribution
having all data to the left side of the graph
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Question 102 pts
When considering if a probability distribution follows the expected distribution, we are considering the distribution’s __________.
Group of answer choices
shape
symmetry
normality
goodness of fit
Question 12 ---- discrete variable Number of cans of food eaten , Count of students in class. These two are discrete random variable.
Question 22 pts
A main characteristic of a discrete probability distribution is that the probability add up to 1 option (d) is correct.
(32) sum of probability = 0.20 + 0.45+ 0.35+ 0.05
= 1.05
This is not a valid probability distribution as sum of all probability do not add to 1. So option (a) No.as they do not add to 1 is correct.
(42) Mean =
= 0.P( X= 0) + 1.P(X= 1) + 2.P(X=2)
= (0)(0.10)+(1)(0.50) +(2)(0.40)
= 0 + 0.50+ 0.80
= 1.30
Option (b) 1.3 is correct answer.
(52)
When conducting a binomial experiment, how many times will the experiment be repeated?
The experiment is repeated n times. Option (a) n is correct answer.
Question 62 pts
The mean of a binomial distribution is found using which of the following formulas?
Mean of binomial distribution is np
So option (b)n*p is correct answer.
Question 72 pts
In binomial probabilities, q represents 1-p .
Option (d) 1-p is correct