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
Greeley [361]
3 years ago
8

If student D can solve 60% of multiple choice questions and Student B can solve 51% of the multiple choice questions and Student

C can solve 57%. The students are unaware of each other.
a) At least one can be solved
b) Probability at most one of them can be solved
c) Probability that neither of them can be solved
d) Exactly two them can be solved
Mathematics
1 answer:
SOVA2 [1]3 years ago
3 0
Do you know answer or not please give me answer
You might be interested in
How do you solve this problem ?
svetlana [45]

Answer: 2y124√y12

How to: <u>Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.</u>

Have a great day and stay safe !

3 0
3 years ago
Read 2 more answers
ASAP I NEED HELP <br> four 28s in lowest terms​
Margaret [11]

1/7 is the answer. 4/28 = 1/7 but in the lowest term

5 0
3 years ago
Sarah rolls a die twice. What is the probability that she rolls a 3 and then an even number?
egoroff_w [7]
1/12

This is because she has a 1/6 chance of getting a 3 on the first try and then a 1/2 chance of getting an even on the second. Multiply these two together to get your answer. 
7 0
3 years ago
A random variable X with a probability density function () = {^-x &gt; 0
Sliva [168]

The solutions to the questions are

  • The probability that X is between 2 and 4 is 0.314
  • The probability that X exceeds 3 is 0.199
  • The expected value of X is 2
  • The variance of X is 2

<h3>Find the probability that X is between 2 and 4</h3>

The probability density function is given as:

f(x)= xe^ -x for x>0

The probability is represented as:

P(x) = \int\limits^a_b {f(x) \, dx

So, we have:

P(2 < x < 4) = \int\limits^4_2 {xe^{-x} \, dx

Using an integral calculator, we have:

P(2 < x < 4) =-(x + 1)e^{-x} |\limits^4_2

Expand the expression

P(2 < x < 4) =-(4 + 1)e^{-4} +(2 + 1)e^{-2}

Evaluate the expressions

P(2 < x < 4) =-0.092 +0.406

Evaluate the sum

P(2 < x < 4) = 0.314

Hence, the probability that X is between 2 and 4 is 0.314

<h3>Find the probability that the value of X exceeds 3</h3>

This is represented as:

P(x > 3) = \int\limits^{\infty}_3 {xe^{-x} \, dx

Using an integral calculator, we have:

P(x > 3) =-(x + 1)e^{-x} |\limits^{\infty}_3

Expand the expression

P(x > 3) =-(\infty + 1)e^{-\infty}+(3+ 1)e^{-3}

Evaluate the expressions

P(x > 3) =0 + 0.199

Evaluate the sum

P(x > 3) = 0.199

Hence, the probability that X exceeds 3 is 0.199

<h3>Find the expected value of X</h3>

This is calculated as:

E(x) = \int\limits^a_b {x * f(x) \, dx

So, we have:

E(x) = \int\limits^{\infty}_0 {x * xe^{-x} \, dx

This gives

E(x) = \int\limits^{\infty}_0 {x^2e^{-x} \, dx

Using an integral calculator, we have:

E(x) = -(x^2+2x+2)e^{-x}|\limits^{\infty}_0

Expand the expression

E(x) = -(\infty^2+2(\infty)+2)e^{-\infty} +(0^2+2(0)+2)e^{0}

Evaluate the expressions

E(x) = 0 + 2

Evaluate

E(x) = 2

Hence, the expected value of X is 2

<h3>Find the Variance of X</h3>

This is calculated as:

V(x) = E(x^2) - (E(x))^2

Where:

E(x^2) = \int\limits^{\infty}_0 {x^2 * xe^{-x} \, dx

This gives

E(x^2) = \int\limits^{\infty}_0 {x^3e^{-x} \, dx

Using an integral calculator, we have:

E(x^2) = -(x^3+3x^2 +6x+6)e^{-x}|\limits^{\infty}_0

Expand the expression

E(x^2) = -((\infty)^3+3(\infty)^2 +6(\infty)+6)e^{-\infty} +((0)^3+3(0)^2 +6(0)+6)e^{0}

Evaluate the expressions

E(x^2) = -0 + 6

This gives

E(x^2) = 6

Recall that:

V(x) = E(x^2) - (E(x))^2

So, we have:

V(x) = 6 - 2^2

Evaluate

V(x) = 2

Hence, the variance of X is 2

Read more about probability density function at:

brainly.com/question/15318348

#SPJ1

<u>Complete question</u>

A random variable X with a probability density function f(x)= xe^ -x for x>0\\ 0& else

a. Find the probability that X is between 2 and 4

b. Find the probability that the value of X exceeds 3

c. Find the expected value of X

d. Find the Variance of X

7 0
2 years ago
HELP ASAP PLEASE!! The Great Pyramid of Cheops is the largest pyramid in the world. It was built around 2500 B.C. by Khufu, or C
OlgaM077 [116]

Answer:

138, 460 m²

Step-by-step explanation:

How To Find Volume of Pyramid With Slant Height? If 'x' is the base length, 's' is the slant height, and 'h' is the height of a regular pyramid, then they satisfy the equation (the Pythagoras theorem) (x/2)2 + h2 = s2.

8 0
2 years ago
Other questions:
  • A person is trying to quit chewing gum. They decide they will have 64 pieces in week 1, but each week have half as many as the w
    13·1 answer
  • Just a lil some some so please help me
    6·2 answers
  • I don't know how to do this question can you please help me. ? ? ?
    11·1 answer
  • What is the area of a kitchen floor that measures 15 1/4feet by 133/4 feet
    11·2 answers
  • A number cube has sides numbered 1though 6 the probability of rolling a 2 is
    6·1 answer
  • Select all of the ordered pairs (x,y) that are solutions to the linear equation 2x+3y=6.
    9·1 answer
  • janelle and Jacob are considering a $130,000 mortgage for 30 years at 4.8%. With this information, their monthly payment would b
    6·1 answer
  • Three times a number minus 4
    13·2 answers
  • Someone help me on 103 pls
    14·2 answers
  • Please help no one is answering and I cannot figure this out I just wasted 10 points on some moron who didn't even explain
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!