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
Allushta [10]
3 years ago
15

Apple uses cheap labor in factories in China to manufacture its cell phones. The probability that a phone is defective is 0.02.

What is the probability that a sample of 500 iPhones will contain exactly 5 defective phones?
a.) What is the average number of defective phones?
(No decimals)

b.) The probability of getting 5 defective phones?
(To thousandths)
Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0

Let x be the random variable representing defective phone. Let n be the sample size. Let p be the probability that phone is defective.

Given: n=500, p= 0.02

From given information we know that x is random variable such that p is the probability of success and it is constant for each trial. Sample size n is fixed.

X follows Binomial distribution with parameters n=500 and p=0.02

a). The average number of defective phone

E(x) = n*p = 500 * 0.02 = 10

The average number of defective phones is 10.

b)Probability of getting 5 defective phones.

P(X=5) = (nCx) p^{x}  (1-p)^{n-x}

= (500C5) 0.02^{5}  (1-0.02)^{500-5}

= 0.037

The probability of getting exactly 5 defective is 0.037.

You might be interested in
What is - 3x - ( - 2 - 4x ) if x equals 5
m_a_m_a [10]
It would be 7 because -3 times 5
7 0
3 years ago
Find an equation of a line that goes through the points (1,6) and (4, -2). Write your answer in the form y=mx + y.
zmey [24]

Answer:

The desired equation is y = (-8/3)x + 26/3.

Step-by-step explanation:

Moving from (1,6) to (4, -2) involves an increase of 3 in x and a decrease of 8 in y.  Thus, the slope of the line thru these two points is m = rise / run = -8/3.

Using the slope-intercept form of the eq'n of a straight line  and inserting the data given (slope = m = -8/3, x = 4,  y = -2), we get:

y = mx + b => -2 = (-8/3)(4) + b, or  -2 = -32/3 + b

Multiply all terms by 3 to clear out the fraction:

-6 = -32 + 3b.

Then 26 = 3b, and b = 26/3.

The desired equation is y = (-8/3)x + 26/3.

8 0
3 years ago
HELP!! And please explain thanks
ohaa [14]

pic the second one to your left and youll find ur answer

7 0
3 years ago
Identify the like terms in the expression. -3x^2+3x-x^2-2+6x
ololo11 [35]

like terms: -3x^2, -x^2

and 3x, 6x

6 0
3 years ago
John and Robyn promised their three sons that they will each get to pick one spot within 500 miles of their home in City A to vi
Ray Of Light [21]

Answer:

A) Weighted graph is attached

B) Shortest routes are;

1. A → C → B → D → A

2. A → D → B → C → A

Step-by-step explanation:

A) We are told their home is in City A. So that's where any journey will begin from.

Furthermore we are told that;

City A to City B = 296 ​miles

City A to City C = 206 ​miles

City A to City D = 79 ​miles

City B to City C = 497 ​miles

City B to City D = 241 ​miles

City C to City D = 281 miles.

I have attached an image of the weighted graph showing the distances on the appropriate edges.

B) We want to find the shortest route using Brute force method. The brute force method is by solving a particular problem by checking all the possible cases/routes to get the desired result we are looking for.

In this case, the desired result is the shortest route for the family to complete their vacation. So, i have attached a diagram showing the different routes via brute force method.

From the brute force method, the shortest length route is 1023 miles and this routes are from Cities;

1. A → C → B → D → A

2. A → D → B → C → A

6 0
3 years ago
Other questions:
  • A bag has five red marbles, six blue marbles, and four black marbles. What is the probability of picking a blue marble, replacin
    6·2 answers
  • Plz help will be thanked and will pick brainly
    14·1 answer
  • Similarities and differences between sine and cosine graphs — Algebra 2
    14·1 answer
  • Please do this ASAP! Due tomorrow. 9:12pm here.
    7·1 answer
  • Please help with this question!!
    8·1 answer
  • Zap’s car rental charges $15.00 an hour to rent a car.Easy car rental charges $8.50 an hour plus a rental fee of $25.50 per rent
    15·2 answers
  • An amount of money that is deposited or borrowed that earns or is charged interest is called a what?
    15·1 answer
  • Which equation represents the sentence:
    6·1 answer
  • A game decreased in price by 1 5 . After the reduction it was priced at £48. What was the original price of the game?
    9·1 answer
  • You will need 100 feet of fencing to put all the way around a rectangular garden. The length of the garden is 30 feet. What is t
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!