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
Elimination method <br> 2x-7y=0<br> 4x+9y=0
Molodets [167]

Answer:

The answer to the question

5 0
3 years ago
19 there is a frog and snake exhibit at
Norma-Jean [14]

Answer:

b.42

Step-by-step explanation:

the ratiois is 3 to 4 .So every 4 snakes is to 3 frogs so since there are 24 snakes devide the 24 by 4 which will give u 6 then multiply the answer by 3 which will give u 18 which represents the total number of frogs then add 18 +24 which is 42.

so then total number of frogs is 42.

5 0
2 years ago
What is the solution to this equation 4x + 2 ( x + 6 ) = 36
Margaret [11]

The answer is A. x=4.


Start off by distributing the parentheses into the equation.

4x+2(x+6)=36

4x+2x+12=26


Combine like terms.

4x+2x=6x

6x+12=36


Now solve the equation as normal. Begin by subtracting 12 from both sides to isolate the variable.

6x+12=36

-12 -12

---------------

6x = 24


Divide 6 on both sides to find x.

6x=24

---- -----

6 6

x=4


The solution to the equation is 4.

4 0
3 years ago
Read 2 more answers
What is the answer?​
antoniya [11.8K]

Answer:

45

Step-by-step explanation:

6 0
2 years ago
The radius of a circle measures 15 feet. what is the circumference?
harina [27]
The circumference of this circle is c=94.25ft
7 0
3 years ago
Other questions:
  • How to express 1/243 using a negative exponent other than -1
    14·1 answer
  • What percent of the June budget was for Tim's Chevron and car (to the nearest tenth)?
    11·1 answer
  • 5+5orienwjiwinwjeuejnsjsineneje​
    12·1 answer
  • Which linear function represents the line given by the point-slope equation y + 7 = –2/3(x + 6)?
    7·2 answers
  • Which of the following is the correct factorization of the polynomial below?
    15·2 answers
  • The table below shows the amount Amelia earned babysitting. Find the rate of change
    14·2 answers
  • Teresa earns 8% commission on the solar panels she sells to businesses. In April she sold $56,000 worth of solar panels. How muc
    9·1 answer
  • 7. Matthew drove 350 miles on 10 gallons of gasoline. How many miles per gallon does
    15·1 answer
  • 100 divided by the sum of 22 and 3 in a expression
    12·1 answer
  • 17
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!