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
Sauron [17]
3 years ago
9

The amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 30 and 60 minutes. One

student is selected at random. Find the probability of the following events.
a. The student requires more than 55 minutes to complete the quiz.
b. The student completes the quiz in a time between 30 and 40 minutes.
c. The student completes the quiz in exactly 37.23 minutes.
Mathematics
1 answer:
Stella [2.4K]3 years ago
7 0

Answer:

a) 0.1667 = 16.67% probability that the student requires more than 55 minutes to complete the quiz.

b) 0.3333 = 33.33% probability that the student completes the quiz in a time between 30 and 40 minutes.

c) 0% probability that the student completes the quiz in exactly 37.23 minutes.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

Uniformly distributed between 30 and 60 minutes.

This means that a = 30, b = 60

a. The student requires more than 55 minutes to complete the quiz.

P(X > 55) = \frac{60 - 55}{60 - 30} = 0.1667

0.1667 = 16.67% probability that the student requires more than 55 minutes to complete the quiz.

b. The student completes the quiz in a time between 30 and 40 minutes.

P(30 \leq X \leq 40) = \frac{40 - 30}{60 - 30} = 0.3333

0.3333 = 33.33% probability that the student completes the quiz in a time between 30 and 40 minutes.

c. The student completes the quiz in exactly 37.23 minutes.

Probability of an exact value in a continuous distribution, such as the uniform distribution, is 0%, so:

0% probability that the student completes the quiz in exactly 37.23 minutes.

You might be interested in
The term in a linear prediction rule that represents the intercept of a regression line is
kipiarov [429]
 Linear Production is defined as a mathematical operation where future values of a discrete-<span>time signal are estimated as a </span>linear<span> function of previous samples.</span><span>
The term in a linear prediction rule that represents the intercept of a regression line is:
a= y intercept = regression constant
b = slope = regression coefficient</span>
7 0
2 years ago
A coffee shop sells coffee, tea and pastries. The owner analysed her profits from the shop this week and found that
KIM [24]
[Pre-Chorus]
Oh, woah-oh, oh, oh
Oh-oh-oh-oh-oh-oh
I'll get him hot, show him what I've got
Oh, woah-oh, oh, oh
Oh-oh-oh-oh-oh-oh
I'll get him hot, show him what I've got

[Chorus]
Can't read my, can't read my
No, he can't read my poker face
(She's got me like nobody)
Can't read my, can't read my
No, he can't read my poker face
(She's got me like nobody)

[Post-Chorus]

Russian roulette is not the same with
8 0
1 year ago
What is the volume of a rectangular prism with the dimensions: base 2 3 /8 cm, height 1 1/3 cm, and length 3 3 /4 cm?
Ugo [173]

Answer: 11.84 cm³


Step-by-step explanation:

1. Let's rewrite the given dimensions (expressed as mixed numbers) as decimals. Divide the numerator by the denominator of the fractional part and add the result to whole number part. Then:

2^\frac{3}{8}cm=(2+0.375)cm=2.375cm\\1^\frac{1}{3}=(1+0.333)cm=1.333cm\\3^\frac{3}{4}=(3+0.75)cm=3.75cm

2. Then, to calculate the volume you must multiply its dimensions. Therefore, you obtain the following result:

V=2.375cm*3.75cm*1.33cm\\V=11.84cm^{3}


5 0
3 years ago
Read 2 more answers
What is 3√125x^12<br><br> A) 5x^2<br> B) 5x^4<br> C) 25x^2<br> D) 25x^4
Schach [20]
\sqrt[3]{125x^{12}}=\sqrt[3]{125}\cdot\sqrt[3]{x^{4\cdot3}}=5\sqrt[3]{(x^4)^3}=5x^4\\\\\text{Answer:}\ B)\ 5x^4\\\\\text{Used:}\\\sqrt[n]{a\cdot b}=\sqrt[n]{a}\cdot\sqrt[n]{b}\\\\(a^n)^m=a^{n\cdot m}\\\\\sqrt[n]{a^n}=a
5 0
3 years ago
Read 2 more answers
How do you find the hypotenuse of a triangle?
earnstyle [38]

The hypotenuse is always opposite the right angle and it is always the longest side of the triangle.

Hope this helped ;)

6 0
3 years ago
Read 2 more answers
Other questions:
  • Do all then, show your work also. If you're first comment and it's all right then you get the crown
    12·1 answer
  • How should i do this?
    15·1 answer
  • Amira has \dfrac34
    10·1 answer
  • A grocery store is offering a 50% discount off a $4.00 box of cereal. You also have a $1.00 off coupon for the same cereal. Use
    14·1 answer
  • Integrate. Choose the best approach and the answer. LaTeX: \int\sin^3x\:dx ∫ sin 3 ⁡ x d x a. use LaTeX: \sin^2x=\frac{1}{2}\lef
    15·1 answer
  • HELPPPPP! In the image shown, line n is a transversal cutting parallel lines l and m.
    10·1 answer
  • 5. If p(x) = 2^2, what is the value of p(3) - P(2) ?<br> 1) 1<br> 2) 2<br> 3) 6<br> 4) 4
    9·2 answers
  • What is the value of x?
    15·1 answer
  • Create the equation of the line that passes through the point (1, -10) and is perpendicular to y=-1/3x+5
    11·1 answer
  • Sonia works at a bakery. The function f(x) represents the amount of money Sonia earns per loaf, where x is the number of loaves
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!