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Brrunno [24]
3 years ago
10

The average score of this quiz is 24 points with a standard deviation of 1.5 points. What is the probability that someone scored

21.9 or less
Mathematics
1 answer:
navik [9.2K]3 years ago
7 0

Answer:

8.08 %

Step-by-step explanation:

Let us denote : X= score X follows a normal distribution with mean =24 and standard deviation =1.5

Step 2

The probability that someone scored 21.9 or less is :

\mathrm{P}(\mathrm{X} \leq 21.9)

=\mathrm{P}\left(\mathrm{Z} \leq \frac{21.9-24}{1.5}\right)

=\mathrm{P}(\mathrm{Z} \leq-1.4)

=0.0808

=8.08%

Answer : 8.08 %

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