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2 answers:
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Answer:
(a)
The expected number in the sample that treats hazardous waste on-site is 0.383.
(b)
There is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.
Step-by-step explanation:
Professional Geographer (Feb. 2000) reported the hazardous waste generation and disposal characteristics of 209 facilities.
N = 209
Only eight of these facilities treated hazardous waste on-site.
r = 8
a. In a random sample of 10 of the 209 facilities, what is the expected number in the sample that treats hazardous waste on-site?
n = 10
The expected number in the sample that treats hazardous waste on-site is given by
Therefore, the expected number in the sample that treats hazardous waste on-site is 0.383.
b. Find the probability that 4 of the 10 selected facilities treat hazardous waste on-site
The probability is given by
For the given case, we have
N = 209
n = 10
r = 8
x = 4
Therefore, there is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.
Each friend of Tommy will receive 4 blue balloons from tommy as Tommy wants to distribute his balloons equally among all of them.
As per the question statement, Tom has 24 blue balloons and he wants to distribute his balloons equally among all 6 of his friends.
To solve this question, let us assume that each friend of Tommy received "x" balloons on equal distribution.
We will now form a Linear Equation of single variable with "x", based on the condition mentioned in the question statement, and solving for "x", we will obtain our desired answer, i.e.,
Thus, Each friend of Tommy will receive 4 blue balloons.
- Linear Equation: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c) where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.
- Variable: In Mathematics, a variable is a symbol or a representative of a value, which is unknown.
To learn more about Linear Equations, click on the link below.
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