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
professor190 [17]
3 years ago
8

Given a standardized normal distribution (with a mean of O and a standard deviation of 1), determine the following probabilities

.
a. P(Z > 1.09) b. P(Z < -0.22) c. P(-1.96 d. What is the value of Z if only 8.08% of all possible Z-values are larger?
Mathematics
1 answer:
Mkey [24]3 years ago
3 0

Answer:

a) P(Z > 1.09) = 0.1379

b) P(Z < -0.22) = 0.4129.

c) P(Z < -1.96) = 0.025, P(Z > -1.96) = 0.025

d) Z = 1.4

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

a. P(Z > 1.09)

This is 1 subtracted by the pvalue of Z = 1.09.

Z = 1.09 has a pvalue of 0.8621

1 - 0.8621 = 0.1379, so

P(Z > 1.09) = 0.1379

b. P(Z < -0.22)

This is the pvalue of Z = -0.22.

Z = -0.22 has a pvalue of 0.4129. So

P(Z < -0.22) = 0.4129.

c) P(Z < -1.96) or P(Z > -1.96)

Z = -1.96 has a pvalue of 0.025. So

1 - 0.025 = 0.975

P(Z < -1.96) = 0.025

P(Z > -1.96) = 0.025

d. What is the value of Z if only 8.08% of all possible Z-values are larger?

Z with a pvalue of 100 - 8.08 = 91.92 = 0.9192, so Z = 1.4

You might be interested in
What is the slope of a line perpendicular to the line whose equation is 2x+4y=-642x+4y=−64. Fully simplify your answer.
labwork [276]

9514 1404 393

Answer:

  2

Step-by-step explanation:

Solving the given equation for y, you have ...

  2x +4y = -64

  4y = -2x -64

  y = -1/2x -16

The coefficient of x is the slope of the given line: -1/2. The slope of the perpendicular line is the opposite reciprocal of this:

  -1/(-1/2) = 2

The slope of the perpendicular line is 2.

5 0
3 years ago
3. CDEF is a parallelogram. Find m2C
Nezavi [6.7K]

Answer:

m<C = 56°

m<D = 124°

Step-by-step explanation:

Of CDEF is a parallelogram then the sum of angle m<C and angle m<D must be equal to 180°

4x + 28 + 17x + 5 = 180 add like terms

21x + 33 = 180 subtract 33 from both sides

21x = 147 divide both sides by 21

x = 7 now to find the measure of each angle replace x with 7

6 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs.
Reptile [31]

Answer:

{31, 0, 28, -27} are integers

{2pie, 25square root 3,  3.141592653..., square root 48} are irrational numbers

{

3 0
3 years ago
Read 2 more answers
4 x ((-4)= (-2) - (-3) + (-6))
sergij07 [2.7K]

Answer:

x=5/16

Step-by-step explanation:

Let's solve your equation step-by-step.

4x(−4)=−2−(−3)−6

Step 1: Simplify both sides of the equation.

4x(−4)=−2−(−3)−6

−16x=−2+3+−6

−16x=(−2+3+−6)(Combine Like Terms)

−16x=−5

−16x=−5

Step 2: Divide both sides by -16.

−16x

−16

=−5/−16

x=5/16

can I be the brainiest please!!

4 0
3 years ago
One number is six times another number. Their difference is 35. What are the two numbers?
konstantin123 [22]









x - y = 35
x = 6y
Plug 6y in for x in the first equation.
6y - y = 35
5y = 35
Divide both sides by 5
y = 7
x = 6y
x = 6(7) = 42
42 and 7
Letter C
Since we had the answers we could have just tried the answers but you will not always have multiple choice so this is the method for solving.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Two functions are represented in different formats.
    13·1 answer
  • a train traveled at an average speed of 45 miles per hour for 2 hours and 30 miles per hour for 3 hours. what is the total numbe
    10·2 answers
  • There are 10 sodas , 5 cream sodas and 7 cherry sodas in an ice chest. how many sodas must be removed from the ice chest to guar
    11·1 answer
  • Which expression represent the approximate length of BC HEEEEELLLLPPP!!!
    15·1 answer
  • What is the slope,m?<br> A. 4/3<br> B. 3/4<br> C. - 4/3<br> D. - 3/4
    9·2 answers
  • A shopper bought a 12 pound bag of orange for $18.72. How much did it cost per pound
    10·1 answer
  • 0 = x - 7x + 16<br> Help
    14·2 answers
  • I need help again please
    11·2 answers
  • Please help.. no links:)​
    11·2 answers
  • If the surface area of the cone below is 628.32, find its volume. (Diameter is 16)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!