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
STatiana [176]
3 years ago
11

The random variable X~(30,2^2) Find p(X<33) Find p(X>26)

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
5 0

Answer:

i) P(X<33)  = 0.9232

ii) P(X>26) = 0.001

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 30

Given that the standard deviation of the Population = 4

Let 'X' be the Normal distribution

<u>Step(ii):-</u>

i)

Given that the random variable  X = 33

               Z = \frac{x-mean}{S.D}

               Z = \frac{33-30}{2} = 1.5 >0

P(X<33) = P( Z<1.5)

              = 1- P(Z>1.5)

             = 1 - ( 0.5 - A(1.5))

             = 0.5 + 0.4232

  P(X<33)  = 0.9232

<u>Step(iii) :-</u>

Given that the random variable  X = 26

               Z = \frac{x-mean}{S.D}

               Z = \frac{33-26}{2} = 3.5 >0

P(X>26)  = P( Z>3.5)

              = 0.5 - A(3.5)

              = 0.5 - 0.4990

             = 0.001

P(X>26) = 0.001

You might be interested in
A class of 30 is divided into 2 groups such that the size of the smaller group is 2/3 the size of the larger group. How large is
pogonyaev

Answer:

I kinda did a lil of this in my head so i might not be 100% correct, but i would say the bigger group is 20 and the smaller group is 10

6 0
3 years ago
Want me a good Night was a great night okey what is five Times 35
Oksana_A [137]

Answer:

175

Step-by-step explanation:

35 * 5 = 175

4 0
3 years ago
Read 2 more answers
According to the order of operations, which of the following operations should be completed first in the following expression?
lukranit [14]

Answer:simplify (5-3)

Step-by-step explanation:

4 0
2 years ago
Original cost: $7.50; markup %:50%
vagabundo [1.1K]
You would pay $3.75
7.50÷2
6 0
3 years ago
Read 2 more answers
Brooke and her friends buy a jumbo bag of Millicent's Mini Donuts at the fair. They sit at a
djyliett [7]

Answer:

d+13=4 is wrong it would be divede because it says put one in each napkin so it is being divided

Step-by-step explanation: 13/d

7 0
2 years ago
Other questions:
  • What is triangle similarity
    5·1 answer
  • Alberto spent half of his weekly
    12·1 answer
  • What is the final price of a product that costs $14.30 with an added tax rate of 4%?
    15·1 answer
  • A tortoise is walking in the desert. it walks for 17.5 meters at a speed of 7meters per min
    10·1 answer
  • a population of 55 foxes in a wildlife preserve triples every 11 years. the function y=55*3^x, where X is the number of 11-year
    11·1 answer
  • What is the little t in Torricelli’s law
    11·1 answer
  • Which of the following sets are subspaces of R3 ?
    7·1 answer
  • Which expression represents the product of s and 39?<br>A=39-s<br>B=39÷s<br>C=39s<br>D=39+s​
    5·1 answer
  • C) 40.3, 32.7, 40.29, 43.43,<br>32.23 In Decreasing order please ​
    8·1 answer
  • I need help with this .<br>use the name of the graph to name the function ​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!