Please answer this is like my fifth try-4n(5n+6)-5(3+3n)
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The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.
<h3>How to evaluate the probability of a random variable getting at least some fixed value?</h3>Suppose the random variable in consideration be X, and it is discrete.
Then, the probability of X attaining at least 'a' is written as:
It is evaluated as:
The probability distribution of X is:
x f(x) = P(X = x)
6 0.02
7 0.11
8 0.61
9 0.15
10 0.09
Worker working at least 8 hours means X attaining at least 8 as its values.
Thus, probability of a worker chosen at random working 8 hours is
P(X ≥ 8) = P(X = 8) + P(X = 9) +P(X = 10) = 0.85 ≈ 0.84 approx.
By the way, this probability distribution seems incorrect because sum of probabilities doesn't equal to 1.
The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.
Learn more about probability distributions here:
<u>Given</u>:
Given that Mrs. Galicia’s solution for the equation.
We need to determine whether Mrs. Galicia’s solution is correct or not.
Also, we need to determine the correct solutions.
<u>Mrs. Galicia’s solution:</u>
Step 4:
Step 5:
After step 4, Mrs. Galicia’s did not take square root on both sides to determine the value of x.
Thus, Mrs. Galicia’s made in mistake in step 5, by solving the equation without taking square root on both sides.
Hence, Mrs. Galicia’s solution is wrong.
<u>Correct solutions:</u>
The equation is
Solving, we get;
Completing the square, we have;
Taking square root on both sides, we get;
Thus, the values of x are given by
and
and
Thus, the correct solutions are x = 9 and x = -1