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
Marysya12 [62]
3 years ago
6

Given that z is a standard normal random variable, find z for each situation (to 2 decimals).

Mathematics
1 answer:
dedylja [7]3 years ago
3 0

Answer:

a) Z = 2.33

b) Z = 1.7

c) Z = 1.65.

d) Z = 0.84.

Step-by-step explanation:

Z-score:

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, which is also the area to the left of z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is also the area to the right of z.

A. The area to the right of z is 0.01.

Z has a pvalue of 1 - 0.01 = 0.99. So Z = 2.33.

B. The area to the right of z is 0.045.

Z has a pvalue of 1 - 0.045 = 0.955. So Z = 1.7

C. The area to the right of z is 0.05.

Z has a pvalue of 1 - 0.05 = 0.95. So Z = 1.65.

D. The area to the right of z is 0.2.

Z has a pvalue of 1 - 0.2 = 0.8. So Z = 0.84.

You might be interested in
The circle graph below shows the colors of flowers in a garden
Kruka [31]
Purple and white make up less than 30 %
5 0
3 years ago
Read 2 more answers
Two angles are complementary. If the measure of one angle is twice the measure of the other angle, what is the measure of the la
Alenkinab [10]
Two angles are complementary: x + y = 90 (complementary = 90 degrees)
x = 2y

plug in 2y for x

2y + y = 90
3y = 90
3y/3 = 90/3
y = 30

plug in 30 for y
x = 2y
x = 2(30)
x = 60

x (the largest angle) = 60°


hope this helps
8 0
3 years ago
Read 2 more answers
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3
Dafna1 [17]

Answer:

I say A or B but in favor A

Step-by-step explanation:

5 0
3 years ago
Which of the following is NOT an arithmetic sequence?
Rashid [163]

Answer:

2, 4, 8, 16, 32

Step-by-step explanation:

4 0
3 years ago
What is the domain for the function?<br><br> someone please help
Vinvika [58]

Answer:

Domain : ( -3 , 4.5 )

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Ron has a bag containing 3 green pears and 4 red pears. He randomly selects a pear then randomly selects another pear, without r
    5·1 answer
  • What is the slope of the line described by the equation below?<br> y=10x2
    6·2 answers
  • What is the vertex of the absolute value function defined by ƒ(x) = |x - 7| + 1?
    12·2 answers
  • Which equation has an a-value of –2, a b-value of 1, and a c-value of 3?
    14·2 answers
  • Drag yes or no for each coordinate.
    9·1 answer
  • What percent of 25 is 14?
    13·2 answers
  • I need help with this one please
    5·2 answers
  • Write the equation in slope- intercept form<br><br> 4x+2y=12 <br><br> Thanks!
    10·1 answer
  • Could someone help a girl out?
    13·2 answers
  • Ari is recording the number of laps he walks around the track each day, On Day 1, he walks 8 laps. On Day 2, his number of laps
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!