The grades of a science test are normally distributed. Thanh finds that his grade on the test has a z-score of –2.5. Which state
2 answers:
Answer:
Step-by-step explanation:
Given that the grades of a science test are normally distributed.
Also given that Thanh finds that his grade on the test has a z-score of –2.5
From this information we can find out the percentile of Thanh.
=1%
i.e. only 1% of the students were below Thanh grade and nearly 99% were above his grade
It is high time that Thann improves his scores as he is at 1st percentile only
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Answer:
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- <u><em>Event A: 1/35</em></u>
- <u><em>Event B: 1/840</em></u>
<u><em></em></u>
Explanation:
<u>Event A</u>
For the event A, the order of the first 4 acts does not matter.
The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.
Thus, the number of ways that the first <em>four acts</em> can be scheduled is:
And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).
Therefore the<em> probability of Event A</em> is:
Event B
Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.
The number of ways in which <em>four acts </em>can be scheculed when the order matters is:
The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)
Therefore, <em>the probability of Event B</em> is: