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
Dovator [93]
3 years ago
13

Suppose that 30% of all students who have to buy a text for a particular course want a new copy (the successes!), whereas the ot

her 70% want a used copy. Consider randomly selecting 15 purchasers.
The bookstore has 10 new copies and 10 used copies in stock.
If 15 people come in one by one to purchase this text, what is the probability that all 15 will get the type of book they want from current stock?
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
6 0

Answer:

The probability that all 15 will get the type of book they want from current stock is 0.4838.

Step-by-step explanation:

Denote the random variable <em>X</em> as the number of students who want to buy new copy.

The probability of a student wanting to buy a new copy is, P (X) = <em>p</em> = 0.30.

A random sample of <em>n</em> = 15 students is selected.

The random variable <em>X</em> follows a Binomial distribution.

The probability function of a Binomial distribution is:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0, 1, 2, 3,...

It is provided that the bookstore has 10 new copies and 10 used copies in stock.

All the 15 students get their desired copy, then this can happen if at most 10 want to buy new copy and at least 5 wants to buy used copy.

Compute the probability of (5 ≤ <em>X</em> ≤ 10) as follows:

P (5 ≤ <em>X</em> ≤ 10) = P (X = 5) + P (X = 6) + P (X = 7) + P (X = 8) + P (X = 9) + P (X = 10)

                     ={15\choose 5}(0.30)^{5}(1-0.30)^{15-5}+{15\choose 6}(0.30)^{6}(1-0.30)^{15-6}\\+{15\choose 7}(0.30)^{7}(1-0.30)^{15-7}+{15\choose 8}(0.30)^{8}(1-0.30)^{15-8}\\+{15\choose 9}(0.30)^{9}(1-0.30)^{15-9}+{15\choose 10}(0.30)^{10}(1-0.30)^{15-10}\\=0.2061+0.1472+0.0811+0.0348+0.0116+0.0030\\=0.4838

Thus, the probability that all 15 will get the type of book they want from current stock is 0.4838.

You might be interested in
Miguel compró 253 Kilos de pescado para venderlo en su negocio, si decide vender cada kilo de pescado en Bs 1.900.000. Entonces,
Sveta_85 [38]

Answer:

Miguel recaudó Bs 480.700.000 por la venta del pescado.

Step-by-step explanation:

Con la información proporcionada puedes calcular el dinero que recaudó en total por la venta del pescado multiplicando el precio de venta de cada kilo de pescado por el número de kilos que Miguel compró:

Número de kilos comprados=253

Precio de venta por kilo=1.900.000

Total vendido=253*1.900.000

Total vendido=480.700.000

De acuerdo a esto, la respuesta es que Miguel recaudó Bs 480.700.000 por la venta del pescado.

7 0
2 years ago
The first derivative of x^2+2y^2=16 is -x/(2y), the second is -(2y^2+x^2)/(4y^3). Find the third implicit derivative of x^2+2y^2
gtnhenbr [62]

Answer:

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

Step-by-step explanation:

d²y/dx² = (-2y² − x²) / (4y³)

Take the derivative (use quotient rule and chain rule):

d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²

d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)

d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)

d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)

d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)

Substitute:

d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)

d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

8 0
3 years ago
Read 2 more answers
HIGH POINT REWARD
Yuki888 [10]
Total number of seniors = 55 + 70 = 125
Number of seniors who plan to go to college = 55

Percentage of seniors who plan to go to college = 55/125 x 100 = 44%

Answer: 44%
3 0
3 years ago
IF ANSWERED CORRECTLY WILL GIVE BRAINLIEST BUT IF YOU GIVE ME PDFS OR LINKS I WILL REPORT YOU
Alchen [17]

Answer:

Defending the inference and challenge

Step-by-step explanation:

The inference is correct no one chosen math. Most of them choose english, few of them choose history, and only two choose science.

There are 1000 7th grader, since they did not ask them what was their favorite subject. They could of had 65% for math, 25% for english, 5% for science and history. We do not know.

Hopes this help

4 0
3 years ago
help plz last attempt on quiz i dont understand.An student is listening to songs that are on his phone. On his phone, he has 10
Elena-2011 [213]

write fractions for each type of song out of the total

10/45 country

15/45 pop

5/45 r&b

10/45 rap

5/45 techno

write these fractions in their simplest forms

2/9 country

1/3 pop

1/9 r&b

2/9 rap

1/9 techno

<em>the chances of the next song played on shuffle being pop is 15/45, or 1/3</em>


<em>(hope this helps! if it does, please give brainliest! thank you x)</em>

5 0
3 years ago
Read 2 more answers
Other questions:
  • Round the number 157 to the nearest tens plce
    9·1 answer
  • Write the following as an inequality.
    7·2 answers
  • HUNTER filed for Chapter 13 bankruptcy in 2009. Even if she planned to take the maximum time allowed under Chapter 13 to repay h
    12·2 answers
  • Convert the units of weight.
    15·1 answer
  • I need 1-3 help me!!
    10·1 answer
  • Answer the second question only please :D
    7·2 answers
  • Pam is baking cookies for the 7th grade dance. She had 10 34 cups of cookie dough. How many cookies can she make if each cookie
    14·1 answer
  • Mateo ordered a package of
    6·1 answer
  • A man divided $9,000 among his wife, son, and daughter. The wife received twice as much as the daughter, and the son received $1
    5·1 answer
  • Find value of x <br><br> (4x-12) 120
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!