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]
2 years ago
11

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

Mathematics
1 answer:
Ostrovityanka [42]2 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
What’s the slope of the line?
Dmitry [639]
The slope of the line is 1. the equation would be y=x-3
3 0
2 years ago
A light bulb consumes 960 watt-hours per day. How many watt-hours does it consumes in 4 days and 18 hours?
MaRussiya [10]
960 watts = 24 hours

4 days = 96 hours

960 (watts) x 4 (days) = 3840 watts

12 hours= 480 watts

6 hours = 240 watts

18 hours = 720 watts

3840 (4 days) + 720 (18 hrs) = 4560

8 0
2 years ago
Sal is trying to determine how much fabric he will need to create the kite diagrammed below.
nikdorinn [45]

Answer:

(40)(108) and (40)(33)+(40)(75) hope this help

Step-by-step explanation:

5 0
2 years ago
A periodic function goes through 5 complete cycles in 4 min . What is the period of the function?
Annette [7]

The period of the function is 48 minutes if the periodic function goes through 5 complete cycles in 4 min.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

A periodic function goes through 5 complete cycles in 4 min

From the question:

f = 5/4 cycles per minutes

f = 5/240 cycles per seconds  [1 minutes = 60 seconds]

f = 1/48

Period = 1/f

Period = 48 minutes

Thus, the period of the function is 48 minutes if the periodic function goes through 5 complete cycles in 4 min.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

4 0
1 year ago
Read 2 more answers
Which is the measure of AB? 10 feet 15 feet 20 feet 100 feet
cupoosta [38]
10 feet is the one i hop i help
6 0
3 years ago
Other questions:
  • Solve: negative 1/2 x + 1 = –x + 8<br><br> 7<br> 1/2<br> 14<br> 18
    11·1 answer
  • 35 multiplied by the quantity r less than 45
    14·1 answer
  • According to the rational root theorem, the numbers below are some of the potential roots of f(x)=10x^3+29x^2-66x+27. Select all
    9·1 answer
  • last week, Jim worked h hours and earned $9 per hour. if he earned a total of $405, which equation can be used to find out how m
    11·1 answer
  • Please explain with working!!! Find the set of values of x that satisfy the inequality 9x^2-15x&lt;6
    5·1 answer
  • Wilma can mow a lawn in 120 minutes. Rocky can mow the same lawn in 80 minutes. How long does it take for both Wilma and Rocky t
    8·1 answer
  • Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
    14·1 answer
  • Free pionts for brainlist pleas​
    7·2 answers
  • Will give brainleist Write an equation in slope intercept form. (Remember you need to find the “b,” using (x,y)
    10·1 answer
  • Find the coordinates of the point <br> 3/10 of the way from A to B.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!