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
Dima020 [189]
3 years ago
15

A driving exam consists of 29 ​multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probabili

ty that a student makes fewer than 6 mistakes on the exam is 0.26 and that the probability that a student makes from 6 to 20 ​(inclusive) mistakes is 0.53. Find the probability of each of the following outcomes. a. A student makes more than 20 mistakes b. A student makes 6 or more mistakes c. A student makes at most 20 mistakes d. Which two of these three events are​ complementary?
Mathematics
2 answers:
Sholpan [36]3 years ago
6 0

Answer and explanation:

Given : A driving exam consists of 29 ​multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probability that a student makes fewer than 6 mistakes on the exam is 0.26 and that the probability that a student makes from 6 to 20 ​(inclusive) mistakes is 0.53.

Let X be the number of mistake

P(X

P(6\leq X\leq 20)=0.53

To find : The probability of each of the following outcomes.

a) A student makes more than 20 mistakes

i.e. P(X>20)

P(X>20)=1-P(X\leq 20)

P(X>20)=1-(P(X\leq 5)+P(6\leq X\leq 20))

P(X>20)=1-(0.26+0.53)

P(X>20)=1-(0.79)

P(X>20)=0.21

b. A student makes 6 or more mistakes

i.e. P(X\geq 6)=1-P(X

P(X\geq 6)=1-0.26

P(X\geq 6)=0.74

c. A student makes at most 20 mistakes

i.e. P(X\leq 20)=1-P(X>20)

Using 'a' part  P(X>20)=0.21

P(X\leq 20)=1-0.21

P(X\leq 20)=0.79

d. Which two of these three events are​ complementary?

The complement of an event happening is the exact opposite: the probability of it not happening.

According to definition,

Option a and c are complementary events.

Leviafan [203]3 years ago
3 0

Answer:

(a) P(X > 20) = 0.18

(b) P(X\geq 6) = 0.71

(c) P(X\leq 20) = 0.82

(d) Events (a) and (c)

Step-by-step explanation:

As per the question:

Total no. of multiple choice questions = 29

Now,

Let the no. of mistakes that a student make be X.

Then

P(X < 6) = P(X \leq 5 = 0.29

P(6\leq X\leq 20) = 0.53

Now,

(a) When a student makes more than 20 mistakes:

P(X > 20) = 1 - P(X\leq 20)

P(X > 20) = 1 - {P(X\leq 5) + P(6\leq X\leq 20)}

P(X > 20) = 1 - {0.29 + 0.53) = 0.18

(b) When the student makes 6 mistakes or more:

P(X\geq 6 = 1 - P(X\leq 5) = 1 - 0.29 = 0.71

(c) When the student makes at most 20 mistakes:

P(X\leq 20) = 1 - P(X > 20) = 1 - 0.18 = 0.82

(d) The two complementary events are (a) and (c), i.e., the event when a student more than 20 mistakes and when at most 20 mistakes are made by the student.

You might be interested in
Given a term in the geometric sequence and the common ratio find the first five terms the explicit form and the recursive formul
Pani-rosa [81]
A1 = 4
a2 = 5a1 = 5 x 4 = 20
a3 = 5a2 = 5 x 20 = 100
a4 = 5a3 = 5 x 100 = 500
a5 = 5a4 = 5 x 500 = 2,500

Tn = ar^(n-1); where a = 4, r = 5
Tn = 4(5)^(n-1) = 4/5 (5)^n
Explicit formular is Tn = 4/5 (5)^n

Recursive formular is a_{n+1} = 5a_{n-1}
5 0
2 years ago
It took Samantha 324 minuets to cook an 18 pound turkey. How many minutes per pound did it take to cook the turkey
Natalka [10]
18 min per pound

324 min.  =   X
______        _____
    18                 1 pound

324 x 1 = 324       324/18= 18 pounds

Cross multiply then divide as above.



5 0
3 years ago
Reading list
never [62]

9514 1404 393

Answer:

  7 cm, 4.4 cm

Step-by-step explanation:

The side lengths can be found from the law of cosines. Each triangle has legs 3 cm and 5 cm. The angle between these will be 60° or 120°. Then the two sides of the parallelogram are ...

  s = √(a² +b² -2ab·cos(C))

  s = √(3² +5² -2·3·5·(±1/2)) = √(34 ±15) = {√49, √19}

The two side lengths are 7 cm and about 4.4 cm.

8 0
3 years ago
I'll mark you the brainliest
Arada [10]

Answer:

C.2

Step-by-step explanation:

Kase pinag papalus lang yan

I hope makatulong

and Pa follow narin po plss

5 0
2 years ago
Read 2 more answers
If you practice a musical instrument each day for of an hour how many hours of practice would you get in each week?
Tanzania [10]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ 7 hours

1 week = 7 days

Each day = 1 hr

1 x 7 = 7

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

6 0
3 years ago
Read 2 more answers
Other questions:
  • Determine the relationship of AB and CD given the following points: A (2, -3), B (4,-6), C (7, 2), and D (5,
    15·2 answers
  • What is 22.47 rounded to the nearest tenth
    12·2 answers
  • The letter a represents a nonzero constant. Solve x + a = 3/4<br> for x
    9·2 answers
  • *****Write a polynomial using the roots -3,5i. PLEASE HELP IM SO LOST!!!
    9·1 answer
  • Helppppppppp please:)
    6·1 answer
  • What is the greatest common factor of 42 and 15?
    5·2 answers
  • Can anyone help ? I’m bad at math
    5·1 answer
  • Need help ASAP pls!!!
    5·1 answer
  • HELPPPPPPPPPPPPPP MEEEEEEEEEEEEEE
    11·2 answers
  • Cecil’s remark in line 1 ("Lucy . . . faults") is made
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!