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
A deposit of $35.45 was made to a checking account. Before the deposit, the account had a balance of −$12.39 .
Naddika [18.5K]
The answer would be 23.06.
7 0
3 years ago
In how many ways can you distinguishable ways can you arrange the letters AAABB
anyanavicka [17]

Answer:

10

Step-by-step explanation:

5! divided by all the repeats so 3!2! = 10 ways

6 0
3 years ago
A bookseller bought 20 pencils at Rs 4.50 each and sold them at Rs 5.75 each. What i total profit? ​
WITCHER [35]
<h3>Answer:    Rs  25</h3>

Explanation:

Each pencil has a profit of Rs 1.25 since \text{revenue} - \text{cost} = 5.75 - 4.50 = 1.25

Multiply that result with 20 to get the final answer shown above in bold.

7 0
1 year ago
8. Mario walks 7 blocks from his home to
Vika [28.1K]
I believe the answer is 2. i hope this helps
6 0
3 years ago
Read 2 more answers
in a random School sampling of 50 middle school students it was found that 18 students bring their lunch to school everyday if t
dem82 [27]

Answer:

340

Step-by-step explanation:

We can see in the sample that 18/50 people bring lunches to school. If we divide 18 by 50 we get 0.36 now we know that 36% of people bring their lunches in the sample. Now we take that number and multiply it by 942.

0.36*942= 339.12 which we can round to 340

5 0
2 years ago
Other questions:
  • Quick:Three different factorizations of 32m+56mp.
    7·1 answer
  • Figures that have the same size and same shape. Their corresponding angles and sides are the same size. whats the answer?
    14·1 answer
  • Hey so I just ordered Pizza Hut it was 7 dollars how much should I tip.
    5·2 answers
  • What is X in the equation -15x+15(-4)=-30
    12·1 answer
  • The mean weight of the domesticated house cat is 9.2 pounds with a standard deviation of 3.4 pounds. If a cat has a z-score of -
    5·1 answer
  • Graph the line that represents the equation y=2/3x+1
    12·1 answer
  • Anju plots points showing equivalent ratios on the coordinate plane below​
    14·2 answers
  • Rewrite each of the following expressions without using absolute value.<br><br> |x−y| , if x
    11·1 answer
  • Algebra 1 CR-8
    13·1 answer
  • Troy prepared 10 kilograms of dough after working 2 hours. How many hours did Troy work if
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!