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
Yanka [14]
3 years ago
12

(Ross 5.15) If X is a normal random variable with parameters µ " 10 and σ 2 " 36, compute (a) PpX ą 5q (b) Pp4 ă X ă 16q (c) PpX

ă 8q (d) PpX ă 20q (e) PpX ą 16q
Mathematics
1 answer:
pochemuha3 years ago
8 0

Answer:

(a) 0.7967

(b) 0.6826

(c) 0.3707

(d) 0.9525

(e) 0.1587

Step-by-step explanation:

The random variable <em>X</em> follows a Normal distribution with mean <em>μ</em> = 10 and  variance <em>σ</em>² = 36.

(a)

Compute the value of P (X > 5) as follows:

P(X>5)=P(\frac{x-\mu}{\sigma}>\frac{5-10}{\sqrt{36}})\\=P(Z>-0.833)\\=P(Z

Thus, the value of P (X > 5) is 0.7967.

(b)

Compute the value of P (4 < X < 16) as follows:

P(4

Thus, the value of P (4 < X < 16) is 0.6826.

(c)

Compute the value of P (X < 8) as follows:

P(X

Thus, the value of P (X < 8) is 0.3707.

(d)

Compute the value of P (X < 20) as follows:

P(X

Thus, the value of P (X < 20) is 0.9525.

(e)

Compute the value of P (X > 16) as follows:

P(X>16)=P(\frac{x-\mu}{\sigma}>\frac{16-10}{\sqrt{36}})\\=P(Z>1)\\=1-P(Z

Thus, the value of P (X > 16) is 0.1587.

**Use a <em>z</em>-table for the probabilities.

You might be interested in
Help please. Geometry.
Mars2501 [29]

Answer:

I think its sometimes sorry if im wrong

8 0
3 years ago
Read 2 more answers
Find the perimeter of the image below:
Vsevolod [243]
What image hahha hahha
4 0
3 years ago
Read 2 more answers
Can someone help me with question 3 i really dont understand this.
makvit [3.9K]

Answer:28 hours

Step-by-step explanation:

2x7x2

5 0
3 years ago
Read 2 more answers
Please someone help me I will mark you has brainiest​
Anna35 [415]

Answer:

i angle EFB

ii BFC and AFC

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the volume of the rectangular prism.<br> The volume is cm?<br><br> 8 cm<br> 5 cm<br> 9 cm
dedylja [7]

Answer:

360 cm

Step-by-step explanation:

volume= length x width x height

8*5*9=360 cm

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is 15 1/5 + 3 5/8 ?
    9·1 answer
  • a car dealership pays you 5% commission on your first $10,000 on car sales and 8% commission on the sale amount over $10,000 if
    5·1 answer
  • Rewrite as a logarithmic equation. e^(7)=y
    6·1 answer
  • 2. Find the magnitude and direction of the resultant vector of two forces. The first force is 250 pounds at an angle of 25 degre
    15·1 answer
  • Explain how to tell weather an event is as likely as not
    13·1 answer
  • The length of two sides of triangular field are 16 m and 19m . The perimeter of rectangle is 50 cm find the third side?​
    13·1 answer
  • 12 : n = 2 : 3 what is n??? ASAPPP
    14·2 answers
  • Factories:<br><img src="https://tex.z-dn.net/?f=xy%20-%205y%20%2B%202x%20-%2010" id="TexFormula1" title="xy - 5y + 2x - 10" alt=
    15·1 answer
  • Need help, please...
    9·2 answers
  • What is 200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!