Question 5: perform without writing vertically a) 50 x 513 x 2 how we can solve it

Professor Halen teaches a College Mathematics class. The scores on the midterm exam are normally distributed with a mean of 72.3

lbvjy [14]

Answer:

14.63% probability that a student scores between 82 and 90

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 72.3, \sigma = 8.9$

What is the probability that a student scores between 82 and 90?

This is the pvalue of Z when X = 90 subtracted by the pvalue of Z when X = 82. So

X = 90

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{90 - 73.9}{8.9}$

$Z = 1.81$

$Z = 1.81$ has a pvalue of 0.9649

X = 82

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{82 - 73.9}{8.9}$

$Z = 0.91$

$Z = 0.91$ has a pvalue of 0.8186

0.9649 - 0.8186 = 0.1463

14.63% probability that a student scores between 82 and 90

3 0

3 years ago

What is the answer and how to do this?

zhenek [66]

Answer:

a

Step-by-step explanation:

Given :

⇒ P (Sumit) = 1/2

⇒ P (Sujan) = 1/3

⇒ P (Rakesh) = 1/a

⇒ P (total) = 3/4

============================================================

Solving :

⇒ 1/2 × 1/3 × 1/a = 3/4

⇒ 1/6 × 1/a = 3/4

⇒ 2/12 × 1/a = 9/12

⇒ a = 9/2

6 0

2 years ago

Graph x^2+60x+256in^2

Softa [21]

Answer:

44

Step-by-step explanation:

there you goooooo oooooooooooooooooo

8 0

3 years ago

For breakfast, a customer can choose two different items from the following list: eggs pancakes waffles oatmeal bacon or muffin.

Colt1911 [192]

${ 6\choose 2}=\frac{6!}{2!4!}=\frac{6\cdot5}{2}=3\cdot5=15$

6 0

3 years ago

A city has 3 new houses for every 9 old houses. If there are 21 new houses in the city, how many old houses are there?

kipiarov [429]

To find your answer you would divide 21 by 3 which would be 7, once you've got 7 you would multiply it by 9 which would give you the amount of old houses that there is which would be 63.

5 0

3 years ago

Question 5: perform without writing verticallya) 50 x 513 x 2how we can solve it​

Question 5: perform without writing verticallya) 50 x 513 x 2how we can solve it