A cross-sectional survey was conducted on adults (³20 years of age) residing in the Khairpur district in Sindh province of Pakistan. One objective of the survey was to evaluate the relationship of social economic position with under- and overweight. The following table gives the frequency counts for the number of participants in socioeconomic status (low, median, high) and BMI for a random sample of 1000 participants.

1) what is the probability that a randomly selected participant is both Normal (A) and falls in the Median social economic class (B)?

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2) what is th probability that a randomly selected participant is either Overweight/obese (A) or falls in the low level social economic class (B)?

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3) Suppose a randomly selected participant is form the Low Social Economic Class (A). Given this knowledge what is the probability that this person is overweight (B).

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4) Is being overweight (A) independent of social economic class? Consider the case of whether or not a randomly selected participant falls in the Low Social Economic Class (B) to answer this question?

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There are a number of companies that provide a delivery service for take away meals. One of the important factors for the customer is the time between placing an order and receiving the meal. A particular Thai restaurant use two different delivery companies. Company A delivers 40% of their orders while Company B delivers the rest. A survey of customers using the service have indicated they want their food delivered within 30 minutes. Historically, Company B has experienced 10% of their orders taking longer than 30 minutes to deliver while Company A has been late on 15% of their orders.

a. We will use A to represent the event ‘Company A delivers the order’ and L to represent the event ‘The meal is delivered late’. Use the correct statistical notation and words to define the complement of both A and L. (Use this terminology in your working throughout the remainder of this question).

b. Construct a fully labelled probability tree to describe this problem with the outcomes and probabilities shown along each branch.

c. A customer has just received their order. What is the probability the order was delivered on time, that is, within 30 minutes of placing the order?

d. A customer who contacted the Thai restaurant reported receiving their order 45 minutes after placing the order. Which company is most likely to have delivered the order? Use probabilities to support your conclusion.

e. Considering the probability calculated in part c., should the restaurant owner have any concerns about the reliability (delivery times) of the delivery companies they use? Explain.

Create your own Binomial Probability RV and Distribution

1. Describe your Binomial Experiment. Choose an n of between 20 and 100:

2. Success = __________________________   Failure = _____________________________

3. X ~ _____ (______, ______)

4. List or give the range of the values that X takes on:

5. Give the PDF formula for the RV:

6. Find the expected value and standard deviation for your random variable.  

7. Write the probability questions described below about YOUR binomial RV and evaluate the probabilities.

a. A probability that X = a single value

b. A probability with “at most”

d. A probability with “more than”

e. A probability with "between"

Business Statistics Assignment:

Hypothesis Testing

Multiple Parts/Steps

A. Set a target.
B. Set a tail probability that the target exceeds expectations (the tail of the distribution beyond the UPPER/lower bounds!)
C .Calculate a z or t score (depending on....): (mean - target) / sample standard deviation
D. Calculate the tail probability of the z or t score
E. If the tail probability of the z or t score is smaller than the target probability, then yes your team has exceeded expectations with a probability of being wrong equal to the tail probability of the z or t score.

PLEASE HELP!!!!!!

State whether or not the situation in each case is a probabilistic situation, and tell why. If it is not a probabilistic situation, reformulate the situation so that it is a probabilistic one.

a. the probability that the U.S. secretary of state is a woman.

b. the probability that a person will be able to read newspapers more intelligently after completing this course.

c. the probability that the soon-to-be-born baby of a pregnant Mrs. Johnson with two sons will be a girl

d. the probability that a woman's planned third child will be a girl, given the information that her first two children are boys.

e. the probability that it will snow tomorrow in this city

f. the probability that Joe ate pizza yesterday

State whether or not the situation in each case is a probabilistic situation, and tell why. If it is not a probabilistic situation, reformulate the situation so that it is a probabilistic one.

a. the probability that the U.S. secretary of state is a woman.

b. the probability that a person will be able to read newspapers more intelligently after completing this course.

c. the probability that the soon-to-be-born baby of a pregnant Mrs. Johnson with two sons will be a girl

d. the probability that a woman's planned third child will be a girl, given the information that her first two children are boys.

e. the probability that it will snow tomorrow in this city

f. the probability that Joe ate pizza yesterday

1. x is a binomial random variable. (Give your answers correct to three decimal places.)

(a) Calculate the probability of x for: n = 1, x = 0, p = 0.35 (b) Calculate the probability of x for: n = 7, x = 6, p = 0.7

(c) Calculate the probability of x for: n = 4, x = 1, p = 0.35

(d) Calculate the probability of x for: n = 3, x = 3, p = 0.7

(e) Calculate the probability of x for: n = 3, x = 0, p = 0.2

(f) Calculate the probability of x for: n = 6, x = 0, p = 0.7

The newest invention is a three-sided die. On any roll of this die, the result is 1 with probability 1/2, 2 with probability 1/4, and 3 with probability 1/4.

Consider a sequence of six independent rolls of this die.

A. Find the probability that exactly two of the rolls result in a 3.

B. Given that exactly two of the six rolls resulted in a 1, find the probability that the first roll resulted in a 1.

C. We are told that exactly three of the rolls resulted in a 1 and exactly three rolls resulted in a 2. Given this information, find the probability that the six rolls resulted in the sequence (1,2,1,2,1,2).

Asset A pays $1,500 with certainty, while asset B pays $2,000 with probability 0.8 or $100 with probability 0.2. If offered the choice between assets A and B, a particular decision maker would choose asset A. Asset C pays $1,500 with probability 0.25 or $100 with probability 0.75, while asset D pays $2,000 with probability 0.2 or $100 with probability 0.8. If offered the choice between assets C and D, the decision maker would choose asset D. Show that the decision maker's preferences violate the independence axiom.

PLEASE HELP SHOW WORK PLEASE!!

The mileage of the hybrid car, the Honda Insight, is normally distributed with a mean of 63.4 mpg and a standard deviation of 12.6 mpg.

1. Is it possible to find the probability that the mean mileage of seven Honda Insights exceeds 70 mpg? Provide a justification for your answer.

2. If we want to address the problem “Find the probability that the mean mileage of seven Honda Insights exceeds 70 mpg”, write the probability statement.

3. If we want to address the problem “Find the probability that the mean mileage of seven Honda Insights exceeds 70 mpg”, what is the probability? Be sure to show how you calculated your probability.