Ella Bradshaw

2022-01-27

The scores on a college entrance exam is 100 with a standard deviation of 7.5. How do you find the probability that a randomly selected score is between 85 and 100?

lirwerwammete9t

Beginner2022-01-28Added 9 answers

Explanation:

Asumming that the distribution is normal, let us find the z score of 85 and 100.

As$\mu =100$ and $\sigma =7.5$

z-score is given by$\frac{x-\mu}{\sigma}$

Hence for 85z z-scorre is$\frac{85-100}{7.5}=-\frac{15}{7.5}=-2$

and for 100, z-scorre is$\frac{100-100}{7.5}=0$

Hence area between -2 and 0 from tables is 0.4772

and probability is 47.72%

Asumming that the distribution is normal, let us find the z score of 85 and 100.

As

z-score is given by

Hence for 85z z-scorre is

and for 100, z-scorre is

Hence area between -2 and 0 from tables is 0.4772

and probability is 47.72%

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