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
ludmilkaskok [199]
3 years ago
10

A student answers all 48 questions on a multiple-choice test by guessing. Each question has four possible answers, only one of w

hich is correct. Find the probability that the student gets exactly 15 correct answers. Use the normal distribution to approximate the binomial distribution.
Mathematics
1 answer:
Arada [10]3 years ago
8 0
Let X be the answers all 48 questions on a multiple-choice test by guessing. 

<span>p = 1/4 </span>

<span>q = 1 - 1/4 = 3/4 </span>

<span>n = 48 </span>

<span>μx = n*p = 48*(1/4) = 12 </span>

<span>σx = sqrt(n*p*q) = sqrt(4/*(1/4)*(3/4)) = 0.8660254038 </span>

<span>P(X = 15) = P(X ≤ 16) - P(X ≤ 14) = P((X - 12)/0.8660254038 ≤ (16 - 12)/0.8660254038) - P((X - 12)/0.8660254038 ≤ (14 - 12)/0.8660254038) = P(Z ≤ 4.62) - P(Z ≤ 2.31) = 1 - 0.9896 = 0.0104 </span>

<span>You could use the binomial distribution: </span>

<span>P(X = 15) = 0.07670882173 </span>

<span>(48) </span>
<span>(15)*((1/4)^15)*(3/4)^33 = 0.07670882173</span>
You might be interested in
Sears editing ‘company is a small editorial services company owned and operated by deloris Sears. On January 31, 20Y1 , the end
Valentin [98]

1. Preparation of   the adjusting entries for

Sears editing ‘company

Sears editing ‘company  Adjusting Entries

a. Dr Insurance expense $1,800

($7,200-$5,400)  

Cr Prepaid insurance  $1,800

(To record insurance expense)

 b. Dr  Supplies expense $1,605

($1980 - $375)

Cr Supplies  $1,605

(To record supplies expense)

c. Dr  Depreciation expense $6,000

Cr Accumulated depreciation-building  $6,000

(To record depreciation expense on building)

d. Dr  Depreciation expense $3,000

Cr Accumulated depreciation-equipment  $3,000

(To record depreciation expense on equipment)  

e. Dr Unearned rent $5,400

($6,750-$1,350)

Cr Rent revenue  $5,400

(To record rent earned from unearned rent)

f. Dr Salaries and wages expense $2,900

Cr Salaries and wages payable  $2,900

(To record salaries and wages expense)  

g. Dr Accounts receivable $18,600

Cr Fees earned  $18,600

(To record accrued revenue)

2. Preparation of  an adjusted trial balance.

Sears editing ‘Company Adjusted Trial balance

Debit side

Cash $7,500

Account Receiveble $57,000

Prepaid Insurance  $5,400

Supplies $375

Land $112,500

Building $150,250

Equipment $135,300

Drawing $15,000

Salaries and wages expense $196,270

Utilities expense $42,375

Advertising expense $22,800

Repair expense $17,250

Depreciation expense-Building $6,000

Depreciation expense-Equipment $3,000

Insurance expense $1,800

Supplies expense $1,605

Miscellaneous expense $6,075

Total Debit side $780,500

Credit side

Accumulated Depreciation-Building  $93,550

Accumulated Depreciation-Equipment $100,950

Account payable $12,150

Unearned rents $1,350

Salaries and wages payable $2,900

Capital stock $221,000

Fees earned $343,200

Rent revenue $5,400

Total Credit side $780,500

Learn more here:brainly.com/question/21304366

4 0
3 years ago
The shop sold 12,789 chocolate and 9,324 cookie dough cones. It sold 1,067 more peanut butter cones than cookie dough cones and
inysia [295]

Answer:1045



Step-by-step explanation:


4 0
3 years ago
Which of the following statements about the mean is false?
Harlamova29_29 [7]

Answer:

The value of the mean reflects both the number and the value of cases. is false

Step-by-step explanation:

8 0
3 years ago
Is this proportional
love history [14]
What is proportional?
Can you copy and paste the question or link the website?

I ***POSSIBLY*** can TRY to help you
6 0
3 years ago
What is 33 %of what number is 1.45
Anna007 [38]
To find 33% of 1.45 we have to tranform 33% into decimal of traction
33% is 0.33 or \frac{33}{100} and multiply if by 1.45
so
0.33*1.45=0.4785
or
1.45*\frac{33}{100}= \frac{957}{2000}
5 0
3 years ago
Other questions:
  • What is the simplified form of each expression?<br><br> 5(14 - 2)^2 ÷ 2
    13·1 answer
  • Please help<br> help<br> help
    6·2 answers
  • What is equivalent to 13 - √-18?<br><br> 4<br> 13 - 9i<br> 13 + 9i<br> 22
    9·1 answer
  • Pls tell me how many vertices there are
    5·2 answers
  • I'm in summer school and need help. The situation that is best modeled by a discrete graph is
    6·2 answers
  • The perimeter of a triangle is 17 inches. One side is 5 inches, and another is 4 inches. What is the length of the third side?
    10·1 answer
  • Akira's dog will be having four puppies. Akira performs a
    8·2 answers
  • sally had 21 marbles her friendgave her some more.she then had 35 marbles. write an expression that shows how many marbles she h
    11·1 answer
  • The ratio of United States gold medals to Russia gold medals was about to 1. If the US has 46 and Russia has 24, then what is th
    10·2 answers
  • What is the value of y in the system of equations 6x-y=2 and 4x-y=-8
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!