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
vesna_86 [32]
3 years ago
14

What is the probability that a value picked at random from the standard normal distribution will be between -1.96 and 1.96?

Mathematics
1 answer:
iren [92.7K]3 years ago
4 0

Answer:

P( -1.96 ≤ Z≤ 1.96) = 0.95

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the z -scores -1.96 and 1.96

we have to find   P( -1.96 ≤ Z≤ 1.96)

P( -1.96 ≤ Z≤ 1.96) = |A(1.96)+A(-1.96)|

                              = |A(1.96)+A(-1.96|   (∵A(-Z) = A(Z))

                            =  0.4750+0.4750

                            = 2×0.4750

                           = 0.95

The probability lies between  -1.96 to 1.96

P( -1.96 ≤ Z≤ 1.96) = 0.95

             

You might be interested in
How much interest is earned on $8,000 invested at an annual rate of 12% for 1 year?
Ghella [55]

Answer:

96$

Step-by-step explanation:

P = $8,000

R = 12%

T = 1yr

I = PRT/100

I = (800×12×1)/100

I = 96$

8 0
3 years ago
Simplify<br>-6√20+2√45+7√5 <br><br>show Woking out to prove ans please​
Dmitry_Shevchenko [17]

Answer:

\sqrt{5}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplifying the radicals

\sqrt{20} = \sqrt{4(5)} = \sqrt{4} × \sqrt{5} = 2\sqrt{5}

\sqrt{45} = \sqrt{9(5)} = \sqrt{9} × \sqrt{5} = 3\sqrt{5}

Thus

- 6(2\sqrt{5}) + 2(3\sqrt{5}) + 7\sqrt{5}

= - 12\sqrt{5} + 6\sqrt{5} + 7\sqrt{5}

= \sqrt{5}

6 0
3 years ago
Emily ran 4 1/8 miles at track practice on one day and 3 3/4 miles the next day. Her coach said she needed to run 10 miles this
Katen [24]

Answer

2 1/8

Step-by-step explanation 10–7 7/8=(10 – 7) + ( 0–7/8)= 3 +0 × 8 – 7/8= 3 + 08– 78=  3 + 0 – 78=  3 + -7/8 = 2 1/8

5 0
2 years ago
Point A is located at (4,7). The point is reflected the x-axis. It's image is located at
babymother [125]

Answer:    (4, -7)

Step-by-step explanation: Your reflecting it across the X axis so only the Y changes.

3 0
2 years ago
Solve for (0,2π]<br> 2cos ß * sin ß = cos ß
Temka [501]

Given :

An equation, 2cos ß sin ß = cos ß .

To Find :

The value for above equation in (0, 2π ] .

Solution :

Now, 2cos ß sin ß = cos ß

2 sin ß = 1

sin ß = 1/2

We know, sin ß = sin (π/6)  or sin ß = sin (5π/6) in  ( 0, 2π ] .

Therefore,

\beta = \dfrac{\pi}{6}\ or\ \beta = \dfrac{5\pi}{6}

Hence, this is the required solution.

4 0
2 years ago
Other questions:
  • Please help! I'll give brainiest!
    11·2 answers
  • Is negitive 1.8 greater than negitive 2.1
    11·2 answers
  • The button on Preston's jacket has a radius of 4 millimeters. What is the button's area?
    10·1 answer
  • Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the
    14·2 answers
  • Differentiate each of the following, where
    6·1 answer
  • A room is 30m long , 24m broad and 18m high. Find (a) Length of the longest rod that can be placed in the room. (b) Its tolal su
    9·1 answer
  • Can anyone help me answer this<br>​
    8·1 answer
  • Benjamin spends $9.50 for a movie ticket at Emagine and $4.50 for each snack.
    14·1 answer
  • #1 Jo estimates that a piece of ribbon measures 8.5 inches. If it actually measures 7.8 inches, what is the percent error of Jo’
    6·2 answers
  • The sum of two numbers is 88 and the second number is 30 more than the first number what is the number and we’re doing writing
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!