1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
prohojiy [21]
2 years ago
13

For a standard normal distribution, find the approximate value of p (negative 0.78 less-than-or-equal-to z less-than-or-equal-to

1.16). use the portion of the standard normal table below to help answer the question.
Mathematics
1 answer:
topjm [15]2 years ago
8 0

The approximate value of P(-0.78 ≤ Z ≤ 1.16) is obtained being 0.6593

<h3>How to get the z scores?</h3>

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have  X \sim N(\mu, \sigma)

(X is following normal distribution with mean \mu and standard deviation \sigma)

then it can be converted to standard normal distribution as

Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

P(Z \leq z) = P(Z < z) )

Also, know that if we look for Z = z in z-tables, the p-value we get is

P(Z \leq z) = \rm p \: value

For this case, we have to find:

P(-0.78\leq Z \leq 1.16)

It can be rewritten as:

P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z < -0.78) \\P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z \leq -0.78)

The p-values for Z = 1.16 and Z = -0.78 from the z-table is found as 0.8770 and 0.2177 respectively, and therefore, we get:

P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z \leq -0.78)\\P(-0.78\leq Z \leq 1.16) = 0.8770 - 0.2177 = 0.6593

Thus, the approximate value of P(-0.78 ≤ Z ≤ 1.16) is obtained being 0.6593

Learn more about z-score here:

brainly.com/question/21262765

You might be interested in
Write and simplify the equation you would use to solve the problem below.
Taya2010 [7]
12s + 5 = 77
12s = 77 - 5 = 72
s = 72/12
s = 6 ...//

Ans = C ... 12x + 5 = 77 ...
7 0
3 years ago
Write an equation in point-slope form for each line (If possible please show work)
Archy [21]

Answer: y-2=1/4(x-1)

Step-by-step explanation:

The formula for point-slope is y-y₁=m(x-x₁). Since we are given the slope m, we can fill that in. We are also given the point (x₁,y₁). We can also fill that in.

y-2=1/4(x-1)

8 0
3 years ago
38% of what is 152? Show work
marusya05 [52]
Take that certain number we are looking for as 'n'

38% ⇒ 0.38

0.38n = 152

Divide by 0.38

0.38n = 152
 /0.38      /0.38

n = 400

So 38% of 400 is 152.
3 0
3 years ago
Read 2 more answers
Which equation could be used to create the graph?
Eva8 [605]

Answer:

C

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

m = \frac{3-0}{9-0} = \frac{3}{9} = \frac{1}{3}, thus

y = \frac{1}{3} x

Or

y = \frac{x}{3} → C

6 0
3 years ago
Read 2 more answers
2. In order to go to college, Howard goes from working full-time making $33,000 per year to working part-time at half the
Ipatiy [6.2K]

Answer:4

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • The graph of a function f(x) is shown below:
    14·1 answer
  • jane is practicing solving systems of equations by inspection.she thinks that y=5/6x+2 and y=5/6x-2 would have exactly one solut
    6·1 answer
  • A toy car is placed at 0 on a number line. It moves 9 cm to the left, then 4 cm to the right, and then 6 cm to the left. The tot
    9·2 answers
  • Ingnore question 17 but i need help 30 POINTS!!!
    10·1 answer
  • Can someone help me with this?​
    15·1 answer
  • HELP <br><br> What is the equation of the trend line in the scatter plot ?
    14·1 answer
  • Someone help plz make sure it’s right will mark brainiest if it is :)
    5·1 answer
  • John threw 20 darts at the board. Only 7 hit the bullseye. What percent of darts hit the bullseye?
    11·1 answer
  • What is the value of the expression?<br> 84-24428<br> 13<br> 115<br> 13.4<br> 152<br> O
    7·1 answer
  • Solve the following questions: a. 17 x 10 = b. 24 x 100 = c. 6 x 1000 =
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!