Suppose approximately 75% of all marketing personnel are extroverts, whereas about 70% of all computer programmers are introverts. (For each answer, enter a number. Round your answers to three decimal places.)

(a)At a meeting of 15 marketing personnel, what is the probability that 10 or more are extroverts?

What is the probability that 5 or more are extroverts?

What is the probability that all are extroverts?

(b) In a group of 5 computer programmers, what is the probability that none are introverts?

What is the probability that 3 or more are introverts?   

is the probability that all are introverts?

Please provide explanation and right answer

5.78

A selective college would like to have an entering class of 1000 students. Because not all studets who are offered admission accept, the college admits more than 1000. Past experience shows that about 83% of the students admitted will accept. The college decides to admit 1200 students.Assuming that students make their decisions independently, the number who accept his the B(1200, 0.83) distribution. If this number is less than 1000, the college will admit students from its waiting list.

a What are the mean and standard deviation of the number X of students who accept?

b. Use the Normal approximation to find the probability that at least 800 students accept.

c. The college does not want more than 1000 students. What is the probability that more than 1000 will accept?

d. If the college decides to decrease the number of admission offers to 1150, what is the probability that more than 1000 will accept?

Let X be a Bin(100, p) random variable, i.e. X counts the number of successes in 100 trials, each having success probability p. Let Y = |X − 50|. Compute the probability distribution of Y.

Read the following specification and then answer the questions that follow. Specification:

A soccer league is made up of at least four soccer teams. Each soccer team is composed of seven(7) to eleven(11) players, and one player captains the team. A team has a name and a record of wins and losses. Players have a number and a position. Soccer teams play games against each other. Each game has a score and a location. Teams are sometimes lead by a coach. A coach has a level of accreditation and a number of years of experience, and can coach multiple teams. Coaches and players are people, and people have names and addresses.

Question: Carry out an initial object oriented design for the above specification.

You must identify and write down. Classes that you think will be required [5 marks]

Their attributes and behaviours [2 marks]

Any inheritance relationships you can identify [3 marks]

Any other relationships (aggregation or otherwise between the classes) [2 marks]

The number of people entering a security check-in lineup in a 15-minute interval at a medium sized airport can be modeled by the following probability model:

?(?=?)=?−16.6(16.6)??!?=0,1,2,⋯P(X=x)=e−16.6(16.6)xx!x=0,1,2,⋯

Part (a) What does 16.6 represent in the probability model? Select the most appropriate explanation below.

A. 16.6 represents how much skewed the distribution of values is.
B. 16.6 represents a weighted-average of the number of people who enter the a security check-in lineup every 15-minutes.
C. 16.6 is the rate at which people enter the security check-in lineup every 15 minutes.
D. 16.6 is the standard deviation of the distribution of people entering the security check-in lineup every 15-minutes.
E. 16.6 represents the average number of people who enter the a security check-in lineup every 15-minutes.


Part (b) Compute the probability that 16 people enter the security check-in lineup in a 15-minute interval. Use four decimals in your answer.

?(?=16)=

Part (c) Compute the probability that at least 4 people will enter the security check-in lineup in a 5-minute interval.

Part (d) In the past 15-minutes, you have been told that somewhere between 13 and 20 people, inclusive, have entered the security lineup. Compute the probability that this uncertain number is 17.

An experiment is designed to test the potency of a drug on 10 rats. Previous animal studies have shown that a 10-mg dose of the drug is lethal 5% of the time.

1. What is the probability that exactly 0 rats will die?
2. What is the probability that 1 or more rats will die?
3. What is the mean (or the expected number of deaths) and standard deviation for this probability distribution?

Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in a​ self-driving vehicle. 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 0.367 1 0.428 2 0.180 3 0.025 Does the table show a probability​ distribution? Select all that apply.

A. ​Yes, the table shows a probability distribution.

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

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

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

E. ​No, the random variable​ x's number values are not associated with probabilities. 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. mu equalsnothing ​adult(s) ​(Round to one decimal place as​ needed.)

TABLE 6-4

According to Investment Digest, the arithmetic mean of the annual return for common stocks from 1926-2010 was 9.5% but the value of the variance was not mentioned. Also 25% of the annual returns were below 8% while 65% of the annual returns were between 8% and 11.5%. The article claimed that the distribution of annual return for common stocks was bell-shaped and approximately symmetric. Assume that this distribution is normal with the mean given above. Answer the following questions without the help of a calculator, statistical software, or statistical table.

15) Referring to Table 6-4, find the probability that the annual return of a random year will be less than 11.5%.____?

16) Referring to Table 6-4, find the probability that the annual return of a random year will be more than 11.5%_____?

17) Referring to Table 6-4, find the probability that the annual return of a random year will be between 7.5% and 11%.________?

18) Referring to Table 6-4, what is the value above which will account for the highest 25% of the possible annual returns?_________

19) Referring to Table 6-4, 75% of the annual returns will be lower than what value?___________

According to an airline, flights on a certain route are on time 80% of the time. Suppose 20 flights are randomly selected and the number of on-time flights is recorded.
A. Find and interpret the probability that exactly 14, flights are on time
B. Find and interpret the probability that fewer than 14 flights are on time
C. Find and interpret the probability that at least 14 flights are on time.
. Find and interpret the probability that between 12 and 14 flights, inclusive, are on time.