A family consisting of four persons—A, B, C, and D—belongs to a medical clinic that always has a doctor at each of stations 1, 2, and 3. During a certain week, each member of the family visits the clinic once and is assigned at random to a station. The experiment consists of recording the station number for each member. Suppose that any incoming individual is equally likely to be assigned to any of the three stations irrespective of where other individuals have been assigned.

(a) What is the probability that all four family members are assigned to the same station?


(b) What is the probability that at most three family members are assigned to the same station?


(c) What is the probability that one station has two family members at it and the others have only one?

A study of 248 advertising firms revealed their income after taxes:

1. What is the probability an advertising firm selected at random has under $1 million in income after taxes? (Round your answer to 2 decimal places.)

1. b-1. What is the probability an advertising firm selected at random has either an income between $1 million and $20 million, or an income of $20 million or more? (Round your answer to 2 decimal places.)

1. b-2. What rule of probability was applied?

• Rule of complements only

• Special rule of addition only

• Either

The survival rate of a cancer using an existing medication is known to be 30%. A pharmaceutical company claims that the survival rate of a new drug is higher. The new drug is given to 15 patients to test for this claim. Let X be the number of cures out of the 15 patients. Suppose the rejection region is {8 }.≥X a. State the testing hypotheses. b. Determine the type of error that can occur when the true survival rate is 25%. Find the error probability. c. Determine the type of error that can occur when the true survival rate is 30%. Find the error probability. d. Determine the type of error that can occur when the true survival rate is 40%. Find the error probability. e. What is the level of significance?

For this problem, complete the function stub to simulate the following random variable: Suppose we have a (possibly) unfair coin where the probability of Head is ? and we flip this coin ? times. Let X = "the number of heads showing."

Demonstrate your solution by generating 10⁵ random variates for the parameters shown and displaying them using show_distribution(...).

STARTER CODE:

# First, create a function which simulates the coin, where
# you return 1 with probability p and 0 with probability 1-p.

N = 10
p = 0.25

num_trials = 10**5

def coinFlip(p):
return 0 # Just to get it to compile
  
def coinFlips(N,p):
return 0 # Just to get it to compile

print("Demonstration:")

seed(0)

A survey of 2645 consumers by DDB Needham Worldwide of Chicago for public relations agency Porter/Novelli showed that how a company handles a crisis when at fault is one of the top influences in consumer buying decisions,with 73% claiming it is an influence. Quality of product was the number one influence, with 96% of consumers stating that quality influences their buying decisions. How a company handles complaints was number two, with 85% of consumers reporting it as an influence in their buying decisions.

Suppose a random sample of 1,100 consumers is taken and each is asked which of these three factors influence their buying decisions. Appendix A Statistical Tables

a. What is the probability that more than 820 consumers claim that how a company handles a crisis when at fault is an influence in their buying decisions?

b. What is the probability that fewer than 1,030 consumers claim that quality of product is an influence in their buying decisions?

c. What is the probability that between 82% and 84% of consumers claim that how a company handles complaints is an influence in their buying decisions?

*(Round the values of z to 2 decimal places. Round the intermediate values to 4 decimal places. Round your answer to 4 decimal places.)

**(Round the values of z to 2 decimal places. Round the intermediate values to 4 decimal places. Round your answer to 5 decimal places.)

a. enter the probability that more than 820 consumers claim their buying decisions are influenced by how a company handles a crisis when at fault rounded to 4 decimal places .

b. enter the probability that fewer than 1,030 consumers claim that quality of product influences their buying decisions rounded to 5 decimal places

c. enter the probability that between 82% and 84% of consumers claim that their buying decisions are influenced by how a company handles a crisis when at fault rounded to 4 decimal places

A survey of 2645 consumers by DDB Needham Worldwide of Chicago for public relations agency Porter/Novelli showed that how a company handles a crisis when at fault is one of the top influences in consumer buying decisions,with 73% claiming it is an influence. Quality of product was the number one influence, with 96% of consumers stating that quality influences their buying decisions. How a company handles complaints was number two, with 85% of consumers reporting it as an influence in their buying decisions. Suppose a random sample of 1,200 consumers is taken and each is asked which of these three factors influence their buying decisions.

a. What is the probability that more than 910 consumers claim that how a company handles a crisis when at fault is an influence in their buying decisions?
b. What is the probability that fewer than 1,125 consumers claim that quality of product is an influence in their buying decisions?
c. What is the probability that between 82% and 84% of consumers claim that how a company handles complaints is an influence in their buying decisions?

*(Round the values of z to 2 decimal places. Round the intermediate values to 4 decimal places. Round your answer to 4 decimal places.)
**(Round the values of z to 2 decimal places. Round the intermediate values to 4 decimal places. Round your answer to 5 decimal places.)

a. enter the probability that more than 910 consumers claim their buying decisions are influenced by how a company handles a crisis when at fault rounded to 4 decimal places *

b. enter the probability that fewer than 1,125 consumers claim that quality of product influences their buying decisions rounded to 5 decimal places **

c. enter the probability that between 82% and 84% of consumers claim that their buying decisions are influenced by how a company handles a crisis when at fault rounded to 4 decimal places *

how can i put in the financial calculator

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A rookie quarterback is negotiating his first NFL contract. His opportunity cost is 6%. He has been offered three possible 4-year contracts. Payments are guaranteed, and they would be made at the end of each year. Terms of each contract are as follows:

As his adviser, which contract would you recommend that he accept?

Select the correct answer.

Hi!

I've been stuck with this question this whole day, not being able to get find out how to solve it.

The question follows "In a zoo lives a hyena who every day eats a certain number of packs of hyena food. The probability that the hyena eats one pack of hyena food in one day is 0.4 and the probability that the hyena eats two packs of hyena food in one day is 0.6. What is the probability that the hyena eats more than 153 packets of hyena food in 100 days?"

What I've figured out so far:

Since I have a known number of trials (n=100), I can use a binomial distribution to calculate the problem, P(X>153).

P(1)=0,4
P(2)=0,6

The lower limit is 1 package of food * 100 days = 100 packages of food
The upper limit is 2 packages of food * 200 days = 200 packages of food

But that's about how far I've come, I can not figure out what I should do with the p-values.

Thank you in advance.

During the 2015-16 NBA season, Jodie Meeks of the Detroit Pistons had a free throw shooting percentage of 0.906 . Assume that the probability Jodie Meeks makes any given free throw is fixed at 0.906 , and that free throws are independent.

(a) If Jodie Meeks shoots 12 free throws in a game, what is the probability that he makes at least 11 of them?

Round your answer to four decimal places.

(b) If Jodie Meeks shoots 80 free throws in the playoffs, what is the probability that he makes at least 70 of them?

Round your answer to four decimal places.

(c) If Jodie Meeks shoots 12 free throws in a game, what are the mean and standard deviation for the number of free throws he makes during the game?

Enter the exact answer for the mean, and round your answer for the standard deviation to three decimal places.

(d) If Jodie Meeks shoots 80 free throws in the playoffs, what are the mean and standard deviation for the number of free throws he makes during the playoffs?

Enter the exact answer for the mean, and round your answer for the standard deviation to three decimal places.

During the 2015-16 NBA season, Jodie Meeks of the Detroit Pistons had a free throw shooting percentage of 0.906 . Assume that the probability Jodie Meeks makes any given free throw is fixed at 0.906 , and that free throws are independent.

(a) If Jodie Meeks shoots 12 free throws in a game, what is the probability that he makes at least 11 of them?

Round your answer to four decimal places.

(b) If Jodie Meeks shoots 80 free throws in the playoffs, what is the probability that he makes at least 70 of them?

Round your answer to four decimal places.

(c) If Jodie Meeks shoots 12 free throws in a game, what are the mean and standard deviation for the number of free throws he makes during the game?

Enter the exact answer for the mean, and round your answer for the standard deviation to three decimal places.

(d) If Jodie Meeks shoots 80 free throws in the playoffs, what are the mean and standard deviation for the number of free throws he makes during the playoffs?

Enter the exact answer for the mean, and round your answer for the standard deviation to three decimal places.