teacher asked her students write down the number of hours studied rounded to the nearest half hour. she complies the results in
develops the probability distribution below for randomly selected student. what is the mean of the probability distribution
1 answer:
Answer:
1.5
Step-by-step explanation:
The question is incomplete due to the probability distribution table, investigating you can find it so I will attach it.
Having the table, we need to find the mean of the probability distribution, which is defined as the sum of the product of probability and value of random distribution, that is:
M = Sum (xi) * P (xi)
We replace:
M = 0.5 * 0.07 + 1 * 0.2 + 1.5 * 0.46 + 2 * 0.2 + 2.5 * 0.07
M = 1.5
Therefore, the mean of the given table is 1.5
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Explanation:
Remember: we have to isolate the variable x, so that means we have to get x by itself.
Step 1:
Let’s look at our equation:
Let’s subtract 2x from both sides of the equation, since our goal is to isolate the variable. You could also subtract 6x from both sides, but you would end up with a negative number, and I find it easier to deal with positive numbers.
Step 2:
Now, let’s subtract 57 from both sides of our equation.
Step 3:
Since we have to isolate x, let’s divide both sides of the equation by 4.
Our final answer: x = 64.5
None of your options is the correct answer. Notify your teacher, tutor, etc. since there none of the options are correct.