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
Gekata [30.6K]
3 years ago
9

For consumers making purchases online, 60% have devices made by Apple, 85% own a smartphone, and 75% use Venmo. Also, out of the

smartphone users, 80% use Venmo. Assume that having a device made by Apple and owning a smartphone are independent. A consumer who makes purchases online is selected at random, what is the probability they have an Apple device or own a smartphone (or both)? Enter your answer as a decimal to two places, and include the leading zero. For example, 0.12 would be a valid format.
Mathematics
1 answer:
kompoz [17]3 years ago
5 0

Answer:

The probability that a customer selected at random has an Apple device or own a smartphone or both is 0.94

Step-by-step explanation:

The percentage of costumers that have a device made by Apple = 60%

The percentage of customers that own a smartphone = 85%

The percentage of customers that use Venmo = 80%

The percentage out of the smartphone users that use Venmo = 80%

The probability both independent events A and B occurring = P(A) × P(B)

The exclusive probability of A or B occurring P(A XOR B) = P(A) + P(B) - 2 × P(A ∩ B)

Therefore, the probability of A or B or both occurring is given as follows;

P(A or B or Both) = P(A) + P(B) - 2 × P(A ∩ B) + P(A) × P(B)

Where A represent the percentage of costumers that have a device made by Apple and let B represent the percentage of users that have a smartphone, we have;

P(A or B or Both) = 0.6 + 0.85 - 2×0.6×0.85 + 0.6 × 0.85 = 0.94

Therefore, the probability that a customer selected at random has an Apple device or own a smartphone (or both), P(A or B or Both) = 0.94

You might be interested in
PLEASE ANSWER FAST!! will mark brainiest is answered correctly.
Olenka [21]
Number 1 is 4 4/5#2 is-3 #3 is > anf # 4 is 13 units
5 0
3 years ago
The number of cars running a red light in a day, at a given intersection, possesses a distribution with a mean of 3.6 cars and a
Iteru [2.4K]

Answer:

X \sim N(3.6,5)  

Where \mu=3.6 and \sigma=5

Then we have:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

With the following parameters:

\mu_{\bar X}= 3.6

\sigma_{\bar X} = \frac{5}{\sqrt{100}}= 0.5

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the number of cars running a red light of a population, and for this case we know the distribution for X is given by:

X \sim N(3.6,5)  

Where \mu=3.6 and \sigma=5

Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

With the following parameters:

\mu_{\bar X}= 3.6

\sigma_{\bar X} = \frac{5}{\sqrt{100}}= 0.5

5 0
3 years ago
Rebekah manages a yoga studio that charges each customer a one-time initial fee of $35 and an additional fee of $12 per class ta
Maru [420]

Answer:

Inequality: 12c + 35 ≥ 100

Minimum number of classes per customer: 6

Step-by-step explanation:

12c + 35 ≥ 100

      - 35     -35

12c ÷ (12) ≥ 65 ÷ (12)

c ≥ 5.4 (so 6)

Hope this helps good luck!

5 0
2 years ago
Read 2 more answers
7) Mr. Lopez is planting a flower garden. He has 18 red roses and 6 yellow roses. Which ratio compares the number of yellow rose
Kisachek [45]

Answer:

6:24 or 1:3 (this is reduced)

Step-by-step explanation:

I added 18 plus 6 together getting 24, which tells me that there are 24 flowers in Mr. Lopez's garden. I then set up the ratio as 6:24, but i knew that i could reduce it. (I'm noy sure if you want it reduced or not) So I divided both sides by 6 getting the ratio 1:3.

Hope this helps!

3 0
3 years ago
Classify triangle 1 and Classify triangle 2​
Nataly_w [17]
Right triangle and an equilateral triangle
7 0
2 years ago
Other questions:
  • can someone help me simplify this: the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the th
    15·1 answer
  • The area of a square quilt is 289 square inches. There is a smaller square patch on the quilt with an area of 121 square inches.
    14·2 answers
  • Can someone show me the steps to this equation.
    12·2 answers
  • What is the common ratio of the geometric sequence below?
    14·1 answer
  • Fernell and Dabney shared the driving
    8·1 answer
  • Use the definition of continuity to determine whether f is continuous at a. f(x) = 5x+5 a = -5 Question
    10·2 answers
  • 200 years ago, as it became more and more evident that the
    8·1 answer
  • What is the slope of the line that passes through the points (5,-25) and (10, -15)
    10·1 answer
  • Please help me due soon
    11·1 answer
  • Please help it would be greatly appreciated:)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!