According to an​ airline, flights on a certain route are on time 80​% of the time. Suppose 10 flights are randomly selected and the number of​ on-time flights is recorded.

​(a) Explain why this is a binomial experiment. (options provided below)​

A.There are two mutually exclusive​ outcomes, success or failure.

B.The probability of success is different for each trial of the experiment.

C.Each trial depends on the previous trial.

D.There are three mutually exclusive possibly​ outcomes, arriving​ on-time, arriving​ early, and arriving late.

E.The exeriment is performed a fixed number of times.

F.The probability of success is the same for each trial of the experiment.

G.The trials are independent.

H.The experiment is performed until a desired number of successes is reached.

(b) Determine the values of n and p. ​

(c) Find and interpret the probability that exactly 6 flights are on time. ​

(d) Find and interpret the probability that fewer than 6 flights are on time. ​

(e) Find and interpret the probability that at least 6 flights are on time.

​(f) Find and interpret the probability that between 4 and 6 ​flights, inclusive, are on time.

A single extraction with 100 mL of CHCl₃ extracts or removes 88.5% of the weak acid, HA, from 50 mL of aqueous solution. What is the Distribution coefficient, D, for HA at a pH = 3.00? The K_a for HA is 3.5 x 10^-5.

- A primary sedimentation basin for a municipal waste water treatment plant treats a flow of 3 MGD and removes 70 percent of the total suspended solids..The basin is 60ft in diameter with a depth of 15 ft. the TSS removed (kg)in the basin about ?

Takes a string and removes all spaces and special characters, and converts
// to upper case, returning the result
// Pre: inString contains a string
// Post: Returns a string with all spaces and special characters removed and
// converted to upper case

in c++ please

In the game of Lucky Sevens, the player rolls a pair of dice. If the dots add up to 7, the player wins $4; otherwise, the player loses $1. Suppose that, to entice the gullible, a casino tells players that there are many ways to win: (1, 6), (2, 5), and soon. A little mathematical analysis reveals that there are not enough ways to win to make the game worthwhile; however, because many people's eyes glaze over at the first mention of mathematics “wins $4”.

      Your challenge is to write a program that demonstrates the futility of playing the game. Your Python program should take as input the amount of money that the player wants to put into the pot, and play the game until the pot is empty.

            The program should have at least TWO functions (Input validation and Sum of the dots of user’s two dice). Like the program 1, your code should be user-friendly and able to handle all possible user input. The game should be able to allow a user to ply as many times as she/he wants.

            The program should print a table as following:

      Number of rolls             Win or Loss                Current value of the pot

                              1                                 Put                                   $10

                    2                                           Win                                  $14

                    3                                           Loss                                 $11

                              4

                              ##                              Loss                                 $0

        You lost your money after ## rolls of play.

        The maximum amount of money in the pot during the playing is $##.

        Do you want to play again?

      At that point the player’s pot is empty (the Current value of the pot is zero), the program should display the number of rolls it took to break the player, as well as maximum amount of money in the pot during the playing.

        Again, add good comments to your program.

        Test your program with $5, $10 and $20.

In the game of Lucky Sevens, the player rolls a pair of dice. If the dots add up to 7, the player wins $4; otherwise, the player loses $1. Suppose that, to entice the gullible, a casino tells players that there are many ways to win: (1, 6), (2, 5), and soon. A little mathematical analysis reveals that there are not enough ways to win to make the game worthwhile; however, because many people's eyes glaze over at the first mention of mathematics “wins $4”.

      Your challenge is to write a program that demonstrates the futility of playing the game. Your Python program should take as input the amount of money that the player wants to put into the pot, and play the game until the pot is empty.

            The program should have at least TWO functions (Input validation and Sum of the dots of user’s two dice). Like the program 1, your code should be user-friendly and able to handle all possible user input. The game should be able to allow a user to ply as many times as she/he wants.

            The program should print a table as following:

      Number of rolls             Win or Loss                Current value of the pot

                              1                                 Put                                   $10

                    2                                           Win                                  $14

                    3                                           Loss                                 $11

                              4

                              ##                              Loss                                 $0

        You lost your money after ## rolls of play.

        The maximum amount of money in the pot during the playing is $##.

        Do you want to play again?

      At that point the player’s pot is empty (the Current value of the pot is zero), the program should display the number of rolls it took to break the player, as well as maximum amount of money in the pot during the playing.

        Again, add good comments to your program.

        Test your program with $5, $10 and $20.

Let the probability of success on a Bernoulli trial be 0.20. a. In nine Bernoulli trials, what is the probability that there will be 8 failures? (Round your final answers to 4 decimal places.) Probability b. In nine Bernoulli trials, what is the probability that there will be more than the expected number of failures? (Round your final answers to 4 decimal places.) Probability

Calculate ?(? < 8) if: (i) ? is the number of distinctions reported in a year by 20 Colleges. Each College produces distinctions at the rate of 0.2 per year independently of the other Colleges. (ii) ? is the number of claims examined up to and including the fourth claim that exceeds K20,000. The probability that any claim received exceeds K20,000 is 0.3 independently of any other claim. (iii) ? is the number of deaths amongst a group of 500 TB patients. Each patient has a 0.01 probability of dying independently of any other patient. (iv) ? is the number of phone calls made before an agent makes the first sale. The probability that any phone call leads to a sale is 0.01 independently of any other call.

Suppose you are rolling a fair four-sided die and a fair six-sided die and you are counting the number of ones that come up.

a) Distinguish between the outcomes and events.

b) What is the probability that both die roll ones?

c) What is the probability that exactly one die rolls a one?

d) What is the probability that neither die rolls a one?

e) What is the expected number of ones?

f) If you did this 1000 times, approximately how many times would you expect that exactly one die would roll a one?

g) What is the expected number of ones?

Changes in Education Attainment: USE SOFTWARE - According to the U.S. Census Bureau, the distribution of Highest Education Attainment in U.S. adults aged 25 - 34 in the year 2005 is given in the table below.

Census: Highest Education Attainment - 2005

In a survey of 4000 adults aged 25 - 34 in the year 2013, the counts for these levels of educational attainment are given in the table below.

Survey (n = 4000): Highest Education Attainment - 2013

The Test: Test whether or not the distribution of education attainment has changed from 2005 to 2013. Conduct this test at the 0.05 significance level.

(a) What is the null hypothesis for this test?

H₀: p₁ = p₂ = p₃ = p₄ = p₅ = 1/5

H₀: The distribution in 2013 is different from that in 2005.     

H₀: p₁ = 0.14, p₂ = 0.48, p₃ = 0.08, p₄ = 0.22, and p₅ = 0.08.

H₀: The probabilities are not all equal to 1/5.

(b) The table below is used to calculate the test statistic. Complete the missing cells.
Round your answers to the same number of decimal places as other entries for that column.

(c) What is the value for the degrees of freedom?  

(d) What is the critical value of χ²? Use the answer found in the χ²-table or round to 3 decimal places.
t_α =  

(e) What is the conclusion regarding the null hypothesis?

reject H₀

fail to reject H₀    

(f) Choose the appropriate concluding statement.

We have proven that the distribution of 2013 education attainment levels is the same as the distribution in 2005.

The data suggests that the distribution of 2013 education attainment levels is different from the distribution in 2005.     

There is not enough data to suggest that the distribution of 2013 education attainment levels is different from the distribution in 2005.