A study involving depression during the quarantine period of this health crisis is done on the people in Turkey. The depression scores follow a continuous uniform distribution with the lowest stress score equal to 0 and the highest equal to 1. Using a sample of 48 people, find

a) the mean and standard deviation of the sample mean.

b) using central limit theorem, estimate the probability that the average depression score for 48 people is larger than 0.45.

Two articles describing firms’ use of a cooperative strategy: one where trust is being used as a strategic asset and another where contracts and monitoring are being emphasized. What are the differences between the managerial approaches being used in the two companies? Which of the cooperative strategies has the highest probability of being successful? Why?

- No TALK ABOUT: Apple, McDonald's, Whole Food Market, Walmart or T-Mobile.

nor Plagiarism!!

Please

Two fair dies are rolled; one coloured blue and the other coloured black. We define the following random variables:

X = The number shown on the blue die

Y = 0 if the number on both dies are the same

Y = 1 if the number on the blue die is greater than the number on the black die

Y = 2 if the number on the black die is greater than the number on the blue die

a. Write the table for the joint probability mass function.

b. Find the marginal probability mass function for Y .

c. Find the conditional probability mass function for X given Y = 1.

1. A six-sided die is weighted so that all even numbers have an equal chance of coming up when the die is rolled, all odd numbers have an equal chance of coming up, and each even number is three times as likely to come up as each odd number. This die is rolled once.

What is the probability of rolling a 3?

What is the probability of rolling a 6?

What is the probability of rolling an even number?

2. An eight-sided die is weighted so that all even numbers have an equal chance of coming up when the die is rolled, all odd numbers have an equal chance of coming up, and each odd number is eight times as likely to come up as each even number. This die is rolled once.

What is the probability of rolling the number 5?
What is the probability of rolling the number 4?
What is the probability of rolling a number greater than 5?
Enter each answer as a whole number or a fraction in lowest terms.

3.A gumball machine contains 45 gumballs. Some are purple and the rest are yellow. There are 4 times as many purple gumballs as yellow. Because the purple gumballs are slightly smaller than the yellow, each purple gumball is 3 times as likely to be dispensed as each yellow gumball.
An experiment consists of the machine dispensing one gumball. Let each gumball be considered one outcome.

What weight should be assigned to each purple gumball?
What is the probability of the event that a yellow gumball is dispensed?
Enter your answers as whole numbers or fractions in lowest terms.

1) The number of students taking the Scholastic Aptitude Test (SAT) has risen to an all-time high of more than 1.5 million. Students are allowed to repeat the test in hopes of improving the score that is sent to college and university admission offices. The number of times the SAT was taken and the number of students are as follows. (HINT: This is a Discrete Probability Distribution Problem) Number of Times SAT is taken Number of Students 1 721,769 2 601,325 3 166,736 4 22,299 5 6,730 a. Let x be a random variable indicating the number of times a student takes the SAT. Show the probability distribution for this random variable. b. What is the probability that a student takes the SAT more than one time? c. What is the probability that a student takes the SAT three or more times? d. What is the expected value of the number of times the SAT is taken? What is your interpretation of the expected value? e. What is the variance and standard deviation for the number of times the SAT is taken?

2) In San Francisco, 30% of workers take public transportation daily. In a sample of 10 workers, a. Clearly state what the random variable in this problem is? b. What is an appropriate distribution to be used for this problem and why? c. What is the probability that exactly three workers take public transportation daily? d. What is the probability that NONE of the workers take public transportation daily? e. What is the probability that more than five workers take public transportation daily? f. What is the probability that less than seven workers take public transportation daily? g. What is the probability at least two but no more than eight workers take public transportation daily?

3) In a typical month, an insurance agent presents life insurance plans to 40 potential customers. Historically, one in four such customers chooses to buy life insurance from this agent. You may treat this as a binomial experiment. a. What is the probability of success? b. What is the total number of trials? c. Create a probability distribution table which includes probability of each possible outcome. Also create the cumulative probability column. d. What is the probability that exactly five customers will buy life insurance from this agent in the coming month? e. What is the probability that no more than 10 customers will buy life insurance from this agent in the coming month? f. What is the probability that at least 20 customers will buy life insurance from this agent in the coming month? g. Determine the mean and standard deviation of the number of customers who will buy life insurance from this agent in the coming month? h. What is the probability that the number of customers who buy life insurance from this agent in the coming month will lie within two standard deviations of the mean?

4) During the period of time that a local university takes phone-in registrations, calls come in at the rate of one every two minutes. a. Clearly state what the random variable in this problem is? b. What is an appropriate distribution to be used for this problem and why? c. What is the expected number of calls in one hour? d. What is the probability of receiving three calls in five minutes? e. What is the probability of receiving NO calls in a 10-minute period? f. What is the probability of receiving more than five calls in a 10-minute period? g. What is the probability of receiving less than seven calls in 15-minutes? h. What is the probability of receiving at least three but no more than 10 calls in 12 minutes?

5) The annual number of industrial accidents occurring in a particular manufacturing plant is known to follow a Poisson distribution with mean 12. a. What is the probability of observing of observing exactly 12 accidents during the coming year? b. What is the probability of observing no more than 12 accidents during the coming year? c. What is the probability of observing at least 15 accidents during the coming year? d. What is the probability of observing between 10 and 15 accidents (including 10 and 15) during the coming year? e. Find the smallest integer k such that we can be at least 99% sure that the annual number of accidents occurring will be less than k.

1/Suppose that about 84% of graduating students attend their graduation. A group of 37 students is randomly chosen, and let X be the number of students who attended their graduation.

Please show the following answers to 4 decimal places.

1. What is the distribution of X? X ~ ? B U N  (,)
2. What is the probability that exactly 29 number of students who attended their graduation in this study?
3. What is the probability that at least 29 number of students who attended their graduation in this study?
4. What is the probability that more than 29 number of students who attended their graduation in this study?
5. What is the probability that between 26 and 31 (including 26 and 31) number of students who attended their graduation in this study?

2/A company prices its tornado insurance using the following assumptions:
• In any calendar year, there can be at most one tornado.
• In any calendar year, the probability of a tornado is 0.13.
• The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year.
Using the company's assumptions, calculate the probability that there are fewer than 4 tornadoes in a 23-year period

3/A local bakary has determined a probability distribution for the number of cheesecakes that they sell in a given day.

What is the probability of selling 15 cheesecakes in a given day?
What is the probability of selling at least 10 cheesecakes?
What is the probability of selling 5 or 15 chassescakes?
What is the peobaility of selling 25 cheesecakes?
Give the expected number of cheesecakes sold in a day using the discrete probability distribution?
What is the probability of selling at most 10 cheesecakes?

4/Find the mean of the following probability distribution? Round your answer to four decimal places.

μμ =

5/

A researcher gathered data on hours of video games played by school-aged children and young adults. She collected the following data.

Find the range.
( ) hours
Find the standard deviation. Round your answer to the nearest tenth, if necessary.
( ) hours
Find the five-number summary.

.

In a recent year, grade 6 Michigan State public school students taking a mathematics assessment test had a mean score of 303.1 with a standard deviation of 36. Possible test scores could range from 0 to 1000. Assume that the scores were normally distributed.

a)  Find the probability that a student had a score higher than 295.

b) Find the probability that a student had a score between 230 and 305.

c) What is the highest score that would still place a student in the bottom 16% of the scores?

Please show all work or if you used a TI 84 please explain the necessary steps to get the answer, thank you for the help :)

1. Suppose that in a game that you are making, the player wins if her score is at least 100. Write a function called hasWon that takes as a parameter the player score and prints “Game won!” if she has won, but nothing otherwise.

2. In the future, everyone will be able to wear sensors that monitor their health. One task of these sensors is to monitor body temperature: if it falls outside the range 97.9F to 99.3F the person may be getting sick. Write a function called monitor that takes a temperature (in Fahrenheit) as a parameter and prints out a warning if it is not within this range.

3. Write a function called winner that takes as parameters two players’ scores and prints out who is the winner (Player 1 or Player 2). The higher score wins and you can assume that there are no ties.

4. Repeat the previous question, but now assume that ties are possible and that you should report them.

5. Your firm is looking to buy computers from a distributor for $1500 per machine. The distributor will give you a 5% discount if you purchase more than 20 computers. Write a function called cost that takes as a parameter the number of computers you wish to buy and prints the cost of buying them from this distributor.

6. Repeat the previous question, except now you should assume that the cost per machine ($1500 above), the number of computers to get a discount (20 above), and the discount (5% above) are all passed as parameters of the function.

7. The speeding ticket policy in a nearby town is $50 plus $5 for each mph over the posted speed limit. In addition, there is an extra penalty of $200 for all speeds above 90 mph. Write a program that accepts a speed limit and a clocked speed and returns the fine amount (and 0 if within the speed limit).

C++ coding functions

Implement the following class using linked lists. Creating a simple linked list class to use is probably your
first step.(Please do not use collections like .push() . pop(), etc.) and instead create the implementation

A templated stack class that stores type T with the following public functions:
- void Push(T t) - adds t to the top of the stack
- T Pop() - asserts that the stack is not empty then removes and returns the item at the top of the stack.
- T Peek() - asserts that the queue is not empty then returns the item at the top of the stack without removing it.

-  unsigned int Size() - returns the number of items currently in the stack