Based on a survey, when 1009 consumers were asked if they are comfortable with drones delivering their purchases, 42% said yes. The probability of randomly selecting 30 of the 1009 consumers and getting exactly 24 who are comfortable with the drones is represented as 0plus. What does 0plus indicate? Does 0plus indicate that it is impossible to get exactly 24 consumers who are comfortable with drones?Choose the correct answer below.
A.The probability 0+ indicates that the probability is a very small positive value. It indicates that the event is impossible.
B.The probability 0+ indicates that the probability is a very small positive value. It indicates that the event is possible, but very unlikely.
C.The probability 0+ indicates that the probability is a very small positive value. It indicates that the event is likely.
D.The probability 0+ indicates that the probability is zero. It indicates that the event is impossible.

Question

04-10-2019
Mathematics

contestada

Based on a survey, when 1009 consumers were asked if they are comfortable with drones delivering their purchases, 42% said yes. The probability of randomly selecting 30 of the 1009 consumers and getting exactly 24 who are comfortable with the drones is represented as 0plus. What does 0plus indicate? Does 0plus indicate that it is impossible to get exactly 24 consumers who are comfortable with drones?Choose the correct answer below.
A.The probability 0+ indicates that the probability is a very small positive value. It indicates that the event is impossible.
B.The probability 0+ indicates that the probability is a very small positive value. It indicates that the event is possible, but very unlikely.
C.The probability 0+ indicates that the probability is a very small positive value. It indicates that the event is likely.
D.The probability 0+ indicates that the probability is zero. It indicates that the event is impossible.

Respuesta :

Otras preguntas

What is the state at which a net force is zero called

A toy rocket is shot vertically into the air from a launching pad 5 feel above the ground with an initial velocity of 80 feet per second. The height h, in feet,

Veronica earned $150 at work this past week in her paycheck. She wants to buy some necklaces which costs $6 each. She writes a function to model the amount of m

why did the citizens of Richmond, Virginia feel upset about the actions at Fort Sumter ?

What area of the long bone is covered with cartilage

@stewyWhich sentence uses a verb that agrees with its compound subject? A.Waiters and waitresses serve the diners at the banquet.B.cell phones and tablets i

The accompanying frequency table indicates the grades on the math midterm in Ms.Dennis' class. In which interval does the median of the date lie?

Why did Pres. Truman believe that political change would come to the Soviet Union?A. The failures of the Soviet Nuclear programB. The Appeal of freedom and the

Veronica earned $150 at work this past week in her paycheck. She wants to buy some necklaces which costs $6 each. She writes a function to model the amount of m

how do i make 24 using the numbers 11 6 10 2?

SaniShahbaz SaniShahbaz · Answer 1 · 2019-10-14T01:48:21+02:00

Answer:

B.The probability 0+ indicates that the probability is a very small positive value. It indicates that the event is possible, but very unlikely.

Step-by-step explanation:

Out of 1009 consumers a sample of 30 consumers is selected and asked the questions. So, the sample size is 30.

n = 30

Based on previous survey, 42% are comfortable with the drone. So in this sample, we can consider the probability of success to be 42%.

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

We want to find the probability of getting exactly 24 consumers who are comfortable with drones.

x = 24

Since, the sample size is fixed, the selections are independent and probability of success is constant, we can use the Binomial Probability to answer this problem. All the conditions of a Binomial Distribution are being satisfied.

According to the formula of Binomial Distribution, the probability of getting exactly x success among n trials is given as:

[tex]P( X = x )=^{n}C_{x}(p)^{x}(q)^{n-x}[/tex]

Using the values, we get:

[tex]P(X = 24) =^{30}C_{24}(0.42)^{24}(0.58)^{6}= 0.00002[/tex]

Thus, the probability of getting exactly 24 consumers from a sample of 30 who are comfortable with drones is 0.00002, which is extremely small.

Since, the value of probability is a very small positive number, it indicates that event is possible but very unlikely. An impossible event has probability equal to 0.

Therefore, option B gives the correct answer.