1. In a normal population of IQ scores, what percent of people have “average” IQ’s?

Answer __68%

2. In a normal distribution, what percentage of people would be located at or below 2 standard deviations from the mean?

Answer _______70

3. Answer the following questions based on a distribution with a μ = 30 and σ = 5: ( don’t get this question )

1. What range of scores is considered “average”? ____________ to ______________

2. What percentage of people has an average score? __________________________

3. What percentage of people has extremely high or extremely low scores? _________

4. What range of scores (requires numbers to be noted in the blank spaces) have the highest probability of being selected? ____1______ to ___30______

Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected.

1. Find the probability that exactly one student is a sports fan.
2. Find the probability that at least one student is sports fan.
3. Find the probability that less than one student is a sports fan.
4. Find the probability that at most one student is a sports fan.
5. Find the probability that more than one student is a sports fan.
6. A sample of 100 students is selected. What is the standard deviation of the number of sports fans you expect?

In a large university, 20% of the students are male. If a random sample of twenty two students is selected

In​ mid-2012, Ralston Purina had​ AA-rated, 10-year bonds outstanding with a yield to maturity of 1.97 %. a. What is the highest expected return these bonds could​ have? b. At the​ time, similar maturity Treasuries had a yield of 0.97 %. Could these bonds actually have an expected return equal to your answer in part ​(a​)? c. If you believe Ralston​ Purina's bonds have 1.2 % chance of default per​ year, and that expected loss rate in the event of default is 49 %​, what is your estimate of the expected return for these​ bonds? a. What is the highest expected return these bonds could​ have? The highest expected return these bonds could have is _______% ​(Round to two decimal​ places.) b. At the​ time, similar maturity Treasuries had a yield of 0.97 %. Could these bonds actually have an expected return equal to your answer in part ​(a​)? ​ (Select the best choice​ below.) A. ​No, if the bonds are​ risk-free, the expected return equals the​ risk-free rate, and if they are not​ risk-free the expected return is less than the yield. B. ​Yes, the yield to maturity is the maximum expected return you can expect. C. ​Yes, if the bonds are risky​ enough, that is if the probability of default is high enough. D. ​Yes, because the reasons given in both A. and B. are true. c. If you believe Ralston​ Purina's bonds have 1.2 % chance of default per​ year, and that expected loss rate in the event of default is 49 %​, what is your estimate of the expected return for these​ bonds? The estimated expected return for these bonds will be _______% ​(Round to two decimal​ places.)

Particle in a box is a model that is often used to look at the spectroscopy of pi electrons in conjugated organic molecules. carotene, a precursor of retinal, a visual pigment found in the retina of the eye, has the formula given below. -carotene contains 11 conjugated double bonds which contribute 22 electrons that are delocalized along the length of the molecular chain. Each level of particle in a box has room for 2 electrons. a. The highest filled energy level is referred to as the HOMO (highest occupied molecular orbital). The quantum number that goes with this level is _____________. b. The lowest unoccupied (no electrons) is referred to as the LUMO (Lowest unoccupied molecular orbital). The quantum number for this level is ____________. c. To calculate the “length” of the box we will use the average bond length of 1.35 A for each carbon-carbon bond. The total length of the box in m is___________________ d. Find an expression for the energy difference between your LUMO and HOMO e. Using the expression in d. calculate the E for an electron moving between the HOMO and LUMO for -carotene. (be very careful about units!..no credit for calculation not done in correct units). f. What part of the electromagnetic spectrum would this transition occur in?

The mean number of arrival at an airport during rush hour is 20 planes per hour while the mean number of departures is 30 planes per hour. Let us suppose that the arrivals and departures can each be described by a respective poisson process. The number of passengers in each arrival or departure has a mean of 100 and a coefficient of variation of 40%.

a.) What is the probability that there will be a total of two arrivals and/or departures within a 6-minute period?

b.) Suppose that in the last hour there have been 25 plane-arrivals.

i.) What is the mean and variance of the total number of arriving passengers in the last hour?

ii.) What is the probability that the total number of arriving passengers exceeded 3000 in the last hour? State and justify all assumptions made.

List the criteria for a binomial experiment. (Select all that apply.)

-The probability of success on each trial is constant.

-The trials may have two or more outcomes.

-The trials have exactly three outcomes.

-The trials are mutually exclusive.

-The probability of success can change from trial to trial.

-The trials are independent. The trials have exactly two outcomes.

-A fixed number of trials repeated under identical conditions.

What does the random variable of a binomial experiment measure?

-The random variable measures the number of failures in n trials.

-The random variable measures the number of successes in n trials.

-The random variable measures the number of trials until the 1st success.

-The random variable measures the number of trials until the nth success.

Do it in python please

This lesson's Group Activities are:

We're going to take the Group Activity from last week and tweak it. Instead of storing the random numbers in a list, we're going to store them in a file. Write a program using functions and mainline logic which prompts the user to enter a number, then generates that number of random integers and stores them in a file. It should then display the following data to back to the user:

• The list of integers
• The lowest number in the list
• The highest number in the list
• The total sum of all the numbers in the list
• The average number in the list
• At a minimum, the numbers should range from 0 to 50, but you can use any range you like.

Helpful hint: don't forget about input validation loops and try/catch exceptional handling. Both are very useful when used in conjunction with functions.

Question 1 [25]
Namibia Car Dealers wants to determine the number of defects per new car. Suppose you are asked to conduct the quality survey for cars, suppose you sampled 30 new cars and following data on number of defects per car were recorded.
0 1 1 2 1 0 2 3 2 1 0 4 3 1 1 0 2 0 0 2 3 0 2 0 2 0 3 1 0 2 a) Compute the sample mean number of defects per car [2] b) Compute the sample standard deviation [5] c) Compute the standard error of mean, assuming that ?̅ and s are equal to ? and ? respectively [2] d) Compute the probability that number of defects per car more than 1.5 [5] e) Draw the distribution in d. [3] f) Compute the probability that that number of defects per is between 1 and 2 [5] g) Draw the distribution in d. [3] vQuestion 1 [25]
Namibia Car Dealers wants to determine the number of defects per new car. Suppose you are asked to conduct the quality survey for cars, suppose you sampled 30 new cars and following data on number of defects per car were recorded.
0 1 1 2 1 0 2 3 2 1 0 4 3 1 1 0 2 0 0 2 3 0 2 0 2 0 3 1 0 2 a) Compute the sample mean number of defects per car [2] b) Compute the sample standard deviation [5] c) Compute the standard error of mean, assuming that ?̅ and s are equal to ? and ? respectively [2] d) Compute the probability that number of defects per car more than 1.5 [5] e) Draw the distribution in d. [3] f) Compute the probability that that number of defects per is between 1 and 2 [5] g) Draw the distribution in d. [3] vQuestion 1 [25]
Namibia Car Dealers wants to determine the number of defects per new car. Suppose you are asked to conduct the quality survey for cars, suppose you sampled 30 new cars and following data on number of defects per car were recorded.
0 1 1 2 1 0 2 3 2 1 0 4 3 1 1 0 2 0 0 2 3 0 2 0 2 0 3 1 0 2 a) Compute the sample mean number of defects per car [2] b) Compute the sample standard deviation [5] c) Compute the standard error of mean, assuming that ?̅ and s are equal to ? and ? respectively [2] d) Compute the probability that number of defects per car more than 1.5 [5] e) Draw the distribution in d. [3] f) Compute the probability that that number of defects per is between 1 and 2 [5] g) Draw the distribution in d. [3] vQuestion 1 [25]
Namibia Car Dealers wants to determine the number of defects per new car. Suppose you are asked to conduct the quality survey for cars, suppose you sampled 30 new cars and following data on number of defects per car were recorded.
0 1 1 2 1 0 2 3 2 1 0 4 3 1 1 0 2 0 0 2 3 0 2 0 2 0 3 1 0 2 a) Compute the sample mean number of defects per car [2] b) Compute the sample standard deviation [5] c) Compute the standard error of mean, assuming that ?̅ and s are equal to ? and ? respectively [2] d) Compute the probability that number of defects per car more than 1.5 [5] e) Draw the distribution in d. [3] f) Compute the probability that that number of defects per is between 1 and 2 [5] g) Draw the distribution in d. [3] Question 1 [25]
Namibia Car Dealers wants to determine the number of defects per new car. Suppose you are asked to conduct the quality survey for cars, suppose you sampled 30 new cars and following data on number of defects per car were recorded.
0 1 1 2 1 0 2 3 2 1 0 4 3 1 1 0 2 0 0 2 3 0 2 0 2 0 3 1 0 2 a) Compute the sample mean number of defects per car [2] b) Compute the sample standard deviation [5] c) Compute the standard error of mean, assuming that ?̅ and s are equal to ? and ? respectively [2] d) Compute the probability that number of defects per car more than 1.5 [5] e) Draw the distribution in d. [3] f) Compute the probability that that number of defects per is between 1 and 2 [5] g) Draw the distribution in d. [3] Question 1 [25]
Namibia Car Dealers wants to determine the number of defects per new car. Suppose you are asked to conduct the quality survey for cars, suppose you sampled 30 new cars and following data on number of defects per car were recorded.
0 1 1 2 1 0 2 3 2 1 0 4 3 1 1 0 2 0 0 2 3 0 2 0 2 0 3 1 0 2 a) Compute the sample mean number of defects per car [2] b) Compute the sample standard deviation [5] c) Compute the standard error of mean, assuming that ?̅ and s are equal to ? and ? respectively [2] d) Compute the probability that number of defects per car more than 1.5 [5] e) Draw the distribution in d. [3] f) Compute the probability that that number of defects per is between 1 and 2 [5] g) Draw the distribution in d. [3]