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
A gym membership cost $25 to join and $14 each month.write an algebraic expression to find the cost of the gym membership for 6
DanielleElmas [232]
Maybe this will help

<span>25 + (6 * 14)</span>
7 0
3 years ago
Read 2 more answers
Write the sum using summation notation, assuming the suggested pattern continues. 1 - 3 + 9 - 27 + ...
meriva
There is no sum for this geometric series. it diverges rather than converges due to the absolute value of the common ratio (r), which is -3, being 3. for a geometric series to have a sum (to converge), the absolute value of r must be less than 1. 
(you find r by dividing a2/a1, a3/a2, etc.)
hope this helps
4 0
3 years ago
Read 2 more answers
What number does 0.023 round to when rounded to the nearest hundredth?
iragen [17]

Answer:

.02

Step-by-step explanation:

8 0
2 years ago
PLEASE HELP ASAP!!!!
spin [16.1K]

It is easy! I got you! So if Gavin earned $25 more then Seiji and the total of money they got over the summer is $425, all you have to do is subtract, so 425- 25= 400. Seiji earned s and Gavin earned g.

3 0
4 years ago
Eduardo worked 40 regular hours last week plus 7 hours over time at time and a half his gross pay was 757.50 what is his hourly
Diano4ka-milaya [45]

Answer:

divide

Step-by-step explanation:

and youll find the answer

4 0
3 years ago
Read 2 more answers
Other questions:
  • How do you know if a function is increasing or decreasing?
    9·1 answer
  • I need to be able to find the value of x
    13·1 answer
  • Multiply and simplify.<br><br>2x^4yx times 6xy^2z^3
    7·1 answer
  • What is -14 w -21 and factoring expressions? please give me the correct answer because I have tried so many different things tha
    8·1 answer
  • A necklace has and matching bracelet have two types of beads. The necklace has 12 large beads and 8 small beads and weighs 88 gr
    11·1 answer
  • Write the equation of a line that passes through the points (-4, -5) and (2, 13).
    10·1 answer
  • Help me there is brainliest insured
    6·2 answers
  • HELPPPPPPPP!!!!!!!!!!!!!!!
    7·1 answer
  • Determine which number would satisfy the inequality 3y-8&gt;22. Choose all that apply.
    7·1 answer
  • The graph of the function f(x) is shown. Which is the value of f(-2)?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!