Classify the following random variables as discrete or continuous:

Mathematics

1 answer:

Bogdan [553]3 years ago

3 0

Answer:

a. Discrete

b. Continuous

c. Continuous

d. Discrete

e. Discrete

f. Continuous

Step-by-step explanation:

The difference between discrete variable and continuous variable is that discrete variable can take a value in the form of whole numbers while continuous variable can take any form of value whole numbers or a fractions.

In other words when the values of variable can be counted then it is a discrete variable and when the values of variable can be measured then it is a continuous variable .

Variable X consists of number of automobile accidents which can be counted. So, it is a discrete variable.

Variable Y consists of length of time which can't be counted but can be measured. So, it is a continuous variable.

Variable M consists of amount of milk produced which can't be counted but can be measured. So, it is a continuous variable.

Variable N consists of number of eggs laid which can be counted. So, it is a discrete variable.

Variable P consists of number of buildings permit issued which can be counted. So, it is a discrete variable.

Variable Q consists of weight of grain which can't be counted but can be measured. So, it is a continuous variable.

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When we test Upper H 0: muequals0 against Upper H Subscript a: mugreater than0, we get a P-value of 0.03. a. What would the

Anastasy [175]

Answer:

(a) The null hypothesis will be rejected.

(b) Type I error

Step-by-step explanation:

The hypothesis provided is:

$H_{0}: \mu = 0\\ H_{a} : \mu > 0$

The p-value of the test obtained is 0.03

(a)

Decision rule for hypothesis testing, based on p-value, states that if the p-value is less than the significance level (α) then the null hypothesis is rejected and vice versa.

The significance level is α = 0.10

Then,

$p-value = 0.03 < \alpha = 0.10$