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
Anna11 [10]
3 years ago
15

At Least One Defective iPhone It has been reported that 20% of iPhones manufactured by Foxconn for a product launch did not meet

Apple’s quality standards. An engineer needs at least one defective iPhone so she can try to identify the problem(s). If she randomly selects 15 iPhones from a very large batch, what is the probability that she will get at least 1 that is defec- tive? Is that probability high enough so that she can be reasonably sure of getting a defect for her work?
Mathematics
1 answer:
bija089 [108]3 years ago
7 0
We can use the binomial theorem to find the probability that 0 out of the 15 samples will be defective, given that 20% are defective.
P(0/15) = (15C0) (0.2)^0 (1 - 0.2)^15 = (1)(1)(0.8)^15 = 0.0352
Then the probability that at least 1 is defective is equal to 1 - 0.0352 = 0.9648. This means there is a 96.48% chance that at least 1 of the 15 samples will be found defective. This is probably sufficient, though it depends on her significance level. If the usual 95% is used, then this is enough.
You might be interested in
On average, Shawnee drinks 1/2 of a 6 ounce glass of water in 2/3 hour. How much water does she drink in an hour?
Mumz [18]

Answer:

1/2 of 6 = (1/2)*6 = 0.5*6 = 3

Shawnte drinks 3 ounces of water in 2/3 hrs.

3 oz = 2/3 hr

3*(3 oz) = 3*(2/3 hr) .... multiply both sides by 3

9 oz = 2 hrs

She drinks 9 ounces of water in 2 hrs

9/2 oz = 2/2 hrs .... divide both sides by 2

4.5 oz = 1 hr

She drinks 4.5 ounces of water in 1 hour.

6 0
3 years ago
The local branch of the Internal Revenue Service spent an average of 21 minutes helping each of 10 people prepare their tax retu
AURORKA [14]

Answer:

The confidence Interval is [- 0.7053  10.4521]

a: The  hypotheses  are

H0: μ1=μ2    against the claim Ha :μ1≠μ2

b. The critical value for t∝/2 for 17 d.f  t > 2.508 and  t < -2.111

c. t= -2.8422

d. The calculated value of t= -2.8422 is less than t < -2.11 the critical value therefore we reject H0 and conclude there is a difference between the two means.

Step-by-step explanation:

When the standard deviations are not the same then the confidence intervals for mean differences are calculated as

(x1`-x2`)- t∝/2 √s1²/n1 + s2²/n2 < u1-u2 < (x1`-x2`)+ t∝/2 √s1²/n1 + s2²/n2

x1`= 21        x2`= 27

n1=  10       n2= 14

s1= 5.6       s2= 4.3

The degrees of freedom is calculated using

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

= 17

The t∝/2 for 17 d.f = 2.11

Putting the values

(x1`-x2`)- t∝/2 √s1²/n1 + s2²/n2 < u1-u2 < (x1`-x2`)+ t∝/2 √s1²/n1 + s2²/n2

(21-27) - 2.11√5.6²/10+ 4.3²/14 < u1-u2 <(21-27)  +2.11√5.6²/10+4.3²/14

6- 2.11*2.111 < u1-u2 <  ( 6 )  +2.11*2.111

6- 4.4521 < u1-u2 <  ( 6 )  +5.294

- 1.5479 < u1-u2 <  10.4521

The confidence Interval is [- 0.7053  10.4521]

a: The  hypotheses  are

H0: μ1=μ2    against the claim Ha :μ1≠μ2

The claim is that there is a difference in the average time spent by the two services

b. The critical value for t∝/2 for 17 d.f  t > 2.508 and  t < -2.111

The degrees of freedom is calculated using

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

= 17

c. The test statistic is

t= (x1`-x2`)  /√s1²/n1 + s2²/n2

t= (21-27)  /√5.6²/10+ 4.3²/14

t= -6/2.111

t= -2.8422

d. The calculated value of t= -2.8422 is less than t < -2.11 the critical value therefore we reject H0 and conclude there is a difference between the two means.

5 0
3 years ago
The Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.35261 USD. Since the Ruiz family knows
Andru [333]
1 euro = 1.35261 USD

The Ruiz family will be able to exchange their euros for US dollar using the rate of $1.35 per 1 euro.


4 0
3 years ago
Read 2 more answers
There is a bag filled with 5 blue, 6 red and 2 green marbles.
vodka [1.7K]

Answer:

the answer is still 1/12

4 0
3 years ago
which car can travel farther on 1 gallon of gas if blue car travels 18 2/5 miles using 0.8 gallons of gas and red car travels 17
Black_prince [1.1K]

Divide the miles by the gallons used for each car to find the miles per gallon, then compare them:

Blue car: 18 2/5 miles / 0.8 gallons = 23 miles per gallon.

Red car: 17 2/5 miles / 0.7 gallons = 24.86 miles per gallon.

The red car can travel farther on 1 gallon of gas.

8 0
3 years ago
Other questions:
  • the cafeteria has 45 square  tables that can be pushed together to form one long table for the lacrosse team's banquet. Each squ
    12·2 answers
  • 8(3x-1)=-80 <br> ^^ also show the check pls
    15·2 answers
  • What is the correct classification for each given angle?
    13·2 answers
  • Can someone PLEASE help me?
    7·2 answers
  • To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an angle 75° from the horizontal.
    10·1 answer
  • (30)Points<br> Which Statement is true<br> A,<br> B.<br> C.<br> D.
    14·1 answer
  • Which list shows all the factor pairs of 72?
    15·1 answer
  • Given that 7x - 3y = 23
    10·1 answer
  • Look at the adjoining figure and write 2 pairs of intersecting lines.​
    9·1 answer
  • (5^4)^6 Rewrite using a single exponent
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!