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
Leno4ka [110]
1 year ago
6

A person is taking a 13​-question ​multiple-choice test for which each question has three answer​ choices, only one of which is

correct. The person decides on answers by rolling a fair die and marking the first answer choice if the die shows 1 or​ 2, the second if it shows 3 or​ 4, and the third if it shows 5 or 6. Find the probability that the person gets fewer than 3 correct answer
Mathematics
1 answer:
motikmotik1 year ago
6 0

The probability of getting fewer than 3 correct answers is 0.1385

<h3>How calculate the probability of getting fewer than 3 correct answers?</h3>

This is a binomial problem with n = 13

Since we are dealing with a binomial probability distribution. We are going to use the binomial distribution formula for determining the probability of x successes:

P(x = r) = nCr . p^r  . q^n-r

total choices = 13 x 3 = 39

p = P(correct answer) = 13/39 =1/3

Given: n = 13, p = 1/3, q = 1- 1/3 = 2/3

Fewer than 3 correct answers mean less than 3 correct answers

P(x<3) = P(x = 0) + P(x=1) + P(x=2)

P(x<3) = (13C0 × (1/3)^0 × (2/3)^13-0) + (13C1 × (1/3)^1 × (2/3)^13-1 + (13C2 × (1/3)^2 × (2/3)^13-2)

         = 0.005138 + 0.0333 + 0.1001

         = 0.1385

Therefore, the probability that the person gets fewer than 3 correct answers is 0.1385

Learn more about binomial distribution on:

brainly.com/question/29220138

#SPJ1

You might be interested in
Help pleaseeeeeee, I need help
Arlecino [84]

Answer:

15, 60, and 61

Step-by-step explanation:

First we have to find the 3rd side length from 2 side length chosen. So let’s pick 8 meters and 11 meters, to find the third side length we use the Pythagorean theorem: c^2 = a^2 + b^2

c = 11^2 + 8^2 = 121 + 64 = 185 = 13.6

13.6 isn’t one of the answers so we can’t pick 11 & 8. Let’s try 11 & 15:

c = 15^2 + 11^2 = 225 + 121 = 346 = 18.6

18.6 isn’t one of the answers either. Let’s try 15 & 60:

c = 60^2 + 15^2 = 3600 + 225 = 3825 = 61.85

61.85 might be it but let’s try one more just in case:

c = 60^2 + 61^2 = 3600 + 3721 = 7321 = 85.6

Nope! That means 15, 60, and 61 are the answer. I hope this is correct!

5 0
3 years ago
What does 4/12 eaqual
andreyandreev [35.5K]
It will equal 1/3  4/12= 1/3 1/3 is the answer

7 0
3 years ago
Read 2 more answers
Which of the following happens when 21.63 is multiplied by 103?
anastassius [24]
Answer: A
Because it is

7 0
3 years ago
100 TIMES WHAT EQUALS TO 560
nataly862011 [7]

Answer:

5.6

Step-by-step explanation:

Divide :)

3 0
3 years ago
Read 2 more answers
F(x)=-2x -3 and g(x)=x^2 +5x,find g(2)-f(3)
Simora [160]

Answer:

f(3)= -9, g(2)=4

Step-by-step explanation:

F(3)= -2(3) -3

F(3)= -6 -3

F(3)= -9

G(2)= 2^2

G(2)= 2×2

G(2)= 4

6 0
3 years ago
Other questions:
  • Use numbers 3 7 6 1 2 and write a expression that simplifies to 45
    10·1 answer
  • A pencil at a stationery store costs $1, and a pen costs $1.50. Stefan spent $7 at the store. He bought a total of 6 items. Whic
    12·2 answers
  • The equation M = 0.6666 log x – 3.2 represents the magnitude of an earthquake depending on the energy it produces. What does 0.6
    14·1 answer
  • Will Jennifer owe money or get a refund? How much?
    9·1 answer
  • Is the answer A),B),C) or D)?
    15·1 answer
  • Maria had planned to walk 10 1/8 miles on wednesday, if she walked 7 2/8 miles in the morning how far would she need to walk in
    10·1 answer
  • Please help this is hard
    9·2 answers
  • Solve the inequality and enter your solution as an inequality comparing a variable to a number x+9&gt;13
    9·1 answer
  • AD contains BC and AD=40. A point on AD is chosen at random. The probability that the point is also on BC is 0.2. What is BC?​
    13·1 answer
  • I need help guys, what's the line segment of PN.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!