Can y’all plz help me with this

A data set with a mean of 34 and a standard deviation of 2.5 is normally distributed

tresset_1 [31]

Answer:

a) $z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

b) $P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

c) $z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

Step-by-step explanation:

For this case we have a random variable with the following parameters:

$X \sim N(\mu = 34, \sigma=2.5)$

From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.

We want to find the following probability:

$P(34 < X$

We can find the number of deviation from the mean with the z score formula:

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

And replacing we got

$z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

For the second case:

$P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

For the third case:

$P(29 < X$

And replacing we got:

$z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

7 0

2 years ago

Jo is looking for a new part-time job as a plumber. She responds to a classified ad for a position that pays 44.9K. What would h

hoa [83]

Answer:

855.77

Step-by-step explanation:

44500/52 equals 855.77

3 0

2 years ago

Solve for x:<br> Зах + b = с

Brrunno [24]

X= c/3a - b/3a if I’m right.

6 0

2 years ago

Read 2 more answers

1. 100 students who are in 9th or 10th grade were asked if they participated in at least one extracurricular activity (sports, m

Marianna [84]

I can not set up a 2 way table online but what they want is a collom of the information neatly laid out...

With the 9th graders in one collom and the 10th graders in the other

like this

                   9th grader   10th grader
# of students    32                      40
# of participated 32                      18

Draw this out with lines and it will be correct.

I hope this helps GOOD LUCK...this is tough math for a middle schooler.

5 0

3 years ago

A BAKER USED 4 CUPS OF FLOUR TO MAKE 5 BEATLES OF COOKIES. HE USED ???? OF A CUP OF FLOUR TO MAKE 1 BATCH OF COOKIES

zepelin [54]

Answer:

Your answer will be 1.2 cups of flour

or

1 1/5

Step-by-step explanation: I hope this heled, if not let me know and I will get you a better answer! :)

5 0

2 years ago

Read 2 more answers