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In: Statistics and Probability

Question 12 pts Which of the following would be a discrete variable? Group of answer choices...

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

Solutions

Expert Solution

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


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