Questions
19. Classify the following statement as an example of classical​ probability, empirical​ probability, or subjective probability....

19. Classify the following statement as an example of classical​ probability, empirical​ probability, or subjective probability. Explain your reasoning.

The probability that a randomly selected number from 1 to 400 is divisible by 6 is 0.165.

This is an example of ___ probability since ____.

18.Classify the following statement as an example of classical​ probability, empirical​ probability, or subjective probability. Explain your reasoning.

According to a​ survey, the probability that an adult chosen at random is in favor of a tax cut is about 0.49

This is an example of ___ ​probability, since ___.

17.Classify the following statement as an example of classical​ probability, empirical​ probability, or subjective probability. Explain your reasoning.

An analyst feels that a certain​ stock's probability of increasing in price over the next week is 0.66

This is an example of ___ ​probability, since___

16.Classify the following statement as an example of classical​ probability, empirical​ probability, or subjective probability. Explain your reasoning.

The probability of choosing 6 numbers from 1 to 58 that match the 6 numbers drawn by a certain lottery is 1/40,475358 ≈0.00000002

This is an example of ___ ​probability, since ___

15.Classify the following statement as an example of classical​ probability, empirical​ probability, or subjective probability. Explain your reasoning.

According to company​ records, the probability that a washing machine will need repairs during a ten​-year period is 0.09.

This is an example of ___ ​probability, since____

In: Statistics and Probability

The number of messages that arrive at a Web site is a Poisson random variable with...

The number of messages that arrive at a Web site is a Poisson random variable with a mean of five messages per hour.

a. What is the probability that five messages are received in 1.0 hour?

b. What is the probability that 10 messages are received in 1.5 hours?

c. What is the probability that fewer than two messages are received in 0.5 hour?

d. Determine the length of an interval of time such that the probability that no messages arrive during this interval is 0.90.

I think I got A,B, and c. i mainly need help with D.

In: Statistics and Probability

1. What is the mean and standard deviation for the number of calls between 3:10PM and...

1. What is the mean and standard deviation for the number of calls between 3:10PM and 3:15PM from the above problem?

1b. The probability that Alice arrives on time is 80%. The probability that Bob arrives on time is 40%. If neither affects the other, what is the probability that both Alice and Bob arrive on time? What is the probability they do not arrive on time?

1c. In a survey of middle school students, 70% play basketball and 40% play basketball and football. Of those that play basketball, what percentage also plays football?

In: Statistics and Probability

According to an​ airline, flights on a certain route are on time 85​% of the time....

According to an​ airline, flights on a certain route are on time

85​% of the time. Suppose 25 flights are randomly selected and the number of​ on-time flights is recorded.

​(a) Explain why this is a binomial experiment.

​(b) Determine the values of n and p.

​(c) Find and interpret the probability that exactly 18 flights are on time.

​(d) Find and interpret the probability that fewer than 18

flights are on time.

​(e) Find and interpret the probability that at least 18

flights are on time.

​(f) Find and interpret the probability that between 16 and 18

​flights, inclusive, are on time.

In: Statistics and Probability

According to an airline, flights on a certain route are on time 80% of the time....

According to an airline, flights on a certain route are on time 80% of the time. Suppose 8 flights are randomly selected and the number of on time flights is recorded. Use technology to find the probabilities.

(a) Determine whether this a binomial experiment.
(b) Find and interpret the probability that exactly 6 flights are on time.
(c) Find and interpret the probability that fewer than 6 flights are on time.
(d) Find and interpret the probability that at least 6 flights are on time
(e) Find and interpret the probability that between 5 and 7 flights, inclusive, are on time.

In: Statistics and Probability

About 60% of the car accidents in a given highway road are due to exceed of...

About 60% of the car accidents in a given highway road are due to exceed of the limited high speed. If a study will investigate 10 cars accidents

  1. The probability that none is due to exceed of the limited high speed is
  2. The probability that 5 exact accidents are due to exceed of the limited high speed is
  3. The probability that at least 1 car accident is due to exceed of the limited high speed is
  4. The probability that at most 1 car accident is due to exceed of the limited high speed is
  5. The expected number of car accidents due to exceed of the limited high speed is

In: Statistics and Probability

A radio tube inserted into a system has probability 0.2 of lasting 500 hours. 20 tubes...

A radio tube inserted into a system has probability 0.2 of lasting 500 hours. 20 tubes are tested.

1. Find probability that exactly that 'k' of these tubes will last more than 500 hours.

2. Find probability that number of tubes that last more than 500 hours will fall between 12 and 17.

3. Sketch the CDF of the random variable that describes the random phenomenon

Also: a die is rolled 120 times. Find probability that 35 or more sixes will be rolled.

Show all steps, thank you.

In: Math

Thirty percent of all customers who enter a store will make a purchase. Suppose 10 customers...

Thirty percent of all customers who enter a store will make a purchase. Suppose 10 customers enter the store, and that they make independent purchasing decisions.

(a) Let X be the number, out of the 10 customers in the store, who will make a purchase. Write the binomial probability density function for this situation.

(b) Use the binomial distribution to calculate the probability exactly 5 customers make a purchase.

(c) Find the probability that 4 or fewer customers make a purchase.

(d) Find the probability that 7 or more customers make a purchase.

In: Math

Five males with an​ X-linked genetic disorder have one child each. The random variable x is...

Five males with an​ X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the​ X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is​ given, find its mean and standard deviation. If a probability distribution is not​ given, identify the requirements that are not satisfied.

x   P(x)
0   0.029
1   0.164
2   0.307
3   0.307
4   0.164
5   0.029

Does the table show a probability​ distribution? Select all that apply.

A

Yes table shows a probability distribution.

B.

​No, the random variable​ x's number values are not associated with probabilities.

C.

​No, the random variable x is categorical instead of numerical.

D.

​No, not every probability is between 0 and 1 inclusive.

E.

​No, the sum of all the probabilities is not equal to 1.

Find the mean of the random variable x. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

nothing

A. ​u =. child(ren) ​(Round to one decimal place as​ needed

B. The table does not show a probability distribution.

Find the standard deviation of the random variable x. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A. O=   child(ren) ​(Round to one decimal place as​ needed.)
B. The table does not show a probability distribution.

In: Statistics and Probability

Five males with an​ X-linked genetic disorder have one child each. The random variable x is...

Five males with an​ X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the​ X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is​ given, find its mean and standard deviation. If a probability distribution is not​ given, identify the requirements that are not satisfied.

x

​P(x)

0

0.0290.029

1

0.1610.161

2

0.3100.310

3

0.3100.310

4

0.1610.161

5

0.0290.029

Does the table show a probability​ distribution? Select all that apply.

A.

​Yes, the table shows a probability distribution.

B.

​No, not every probability is between 0 and 1 inclusive.

C.

​No, the random variable x is categorical instead of numerical.

D.

​No, the random variable​ x's number values are not associated with probabilities.

E.

​No, the sum of all the probabilities is not equal to 1.

Find the mean of the random variable x. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.

muμequals=nothing

​child(ren) ​(Round to one decimal place as​ needed.)

B.

The table does not show a probability distribution.

Find the standard deviation of the random variable x. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.

sigmaσequals=nothing

​child(ren) ​(Round to one decimal place as​ needed.)

B.

The table does not show a probability distribution.

In: Statistics and Probability