At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .49.

a. Find the probability that in a sample of 13 customers, none of the 13 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.) Probability

b. Find the probability that in a sample of 13 customers, at least 6 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.) Probability

c. Find the probability that in a sample of 13 customers, fewer than 7 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.) Probability

d. Find the probability that in a sample of 13 customers, all 13 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.) Probability

At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .48.

a. Find the probability that in a sample of 12 customers, none of the 12 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)

Probability          

b. Find the probability that in a sample of 12 customers, at least 5 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)

Probability          

c. Find the probability that in a sample of 12 customers, fewer than 6 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)

Probability          

d. Find the probability that in a sample of 12 customers, all 12 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)

Probability          

By experimenting with throwing 4 coins, find the following possibilities

1. What is the probability that the image will appear 3 times at most?

2. What is the probability that the image will appear at least 2 times?

3. What is the probability that the image will appear 1 times at most?

4. What is the probability of the image appearing more than three times?

5. What is the probability that the image will appear at least 3 times?

6. How likely is it to appear 4 times?

7. What is the probability that the image will appear 3 times?

8. What is the probability that the image will not appear?

9. What is the probability that the image will appear between 2 and 4?

10. What is the probability that all results will appear as pictures?

At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .51.

a. Find the probability that in a sample of 10 customers, none of the 10 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)

Probability           

b. Find the probability that in a sample of 10 customers, at least 7 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)

Probability           

c. Find the probability that in a sample of 10 customers, fewer than 8 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)

Probability           

d. Find the probability that in a sample of 10 customers, all 10 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)

Probability           

At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .34.

a. Find the probability that in a sample of 9 customers, none of the 9 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)

Probability b. Find the probability that in a sample of 9 customers, at least 6 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)

Probability c. Find the probability that in a sample of 9 customers, fewer than 7 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.) Probability ]

d. Find the probability that in a sample of 9 customers, all 9 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.) Probability

A study shows that the amount of time spent by millennials playing video games is 22.6 hours a month, with a standard deviation of 6.1 hours. A bright UWI stats student has doubts about the study’s results. She believes that they actually spend more time. The student tries to resolve her doubts, and collects a random sample of 60 millennials, asking them to keep a daily log of their video game playing habits. Millennials in the sample played an average of 24.2 hours per month. (a) If the null hypothesis is true, describe the sampling distribution of the mean number of hours spent playing video games. [5 marks] (b) Calculate the probability of randomly choosing a sample in which the average number of hours of video games played was 24.2 or more. [5 marks] (c) No hard and fast rule exists which divides the boundary between p-values for which we reject the null and those for which we feel the null is plausible. However p = 0.05 and p = Xi ~ Poisson : e?(2? ) (2?) X X ! , X = 0,1,2,… X 2 0.01 are two commonly used thresholds. Under these thresholds, should the student reject the null hypothesis? [5 marks] (d) Suppose the student doubted the study’s findings but had no prior expectation of whether they were too high or too low. Perhaps she should determine the probability of randomly choosing a sample in which the average number of hours spent playing video games was as extreme or more extreme that 24.2 hours. Should she reject the null hypothesis in this case? [5 marks] (e) Would a larger sample with the same mean of 24.2 have provided stronger evidence of a difference from the original study’s mean? Explain. [5 marks]

calculate:

PART A: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 203.9-cm and a standard deviation of 0.9-cm. For shipment, 20 steel rods are bundled together.

Find the probability that the average length of a randomly selected bundle of steel rods is less than 204.5-cm.
P(M < 204.5-cm) =

Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

PART B: The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.933 g and a standard deviation of 0.327 g. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. The supporting evidence consists of a sample of 34 cigarettes with a mean nicotine amount of 0.832 g.

Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly selecting 34 cigarettes with a mean of 0.832 g or less.
P(M < 0.832 g) =  
Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

PART C: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 249.1-cm and a standard deviation of 1.6-cm. For shipment, 19 steel rods are bundled together.

Find P₂₂, which is the average length separating the smallest 22% bundles from the largest 78% bundles.
P₂₂ = -cm

Enter your answer as a number accurate to 2 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

1. Find x and y so that the ordered data set has a mean of 42 and a median of 35, hence compute the harmonic mean and geometric mean of the data sample.

       17, 22, 26, 29, 34, x, 42, 67, 70, y                                                         

2. The lengths, in centimeters, of 18 snakes are given below. Draw an ordered stem-and-leaf diagram for the data.                                                                                                                                    

24, 62, 20, 65, 27, 67, 69, 32, 40, 53, 55, 47, 33, 45, 55, 56, 49, 58

3. Costs of production have been monitored for some time within a company and the following data found:

1. Calculate the correlation coefficient.                                                                        
2. Calculate the coefficient of determination and explain its significance for the company.                                                                                                                                                   

4. Using the following frequency distribution table;

Find

1. The mean                                                                                                       
2. Median                                                                                                           
3. Standard deviation                                                                                         
4. Coefficient of skewness and comment                                                          

5. A single fair die is tossed. What is the probability that the score is a prime number?                
6. The following data represents the comparison made between the price of a consumer product and the corresponding demand.

      Determine the linear regression equation of the form y= a+bx that relates price (x) and demand (y).                                                                                                                                                                        

7. An integer is randomly selected between 1 and 50, inclusively. Find the probability that the number is not divisible by 7.                                                                                                                              

There are three arrangements of the word DAD, namely DAD, ADD, and DDA. How many arrangements are there of the word PROBABILITY?            

(1 point) The problem below describes an experiment and defines a random variable. For this problem:
(a) Find the distribution of the random variable (and provide it as a chart).
(b) Calculate the expected value of the random variable.

Roll two fair, six-sided dice. Let X be the (absolute value of the) difference between the numbers they will land on.

a. The distribution of the random variable (enter possible values in numerical order):

b. The expected value of the random variable:

The problem below describes an experiment and defines a random variable. For this problem:
(a) Find the distribution of the random variable (and provide it as a chart).
(b) Calculate the expected value of the random variable.

A room has 15 art majors and 10 science majors. Two students are selected randomly (without replacement). Let S be the number of science majors that will be drawn.

a. The distribution of the random variable (put possible values in numerical order):

b. The expected value of the random variable:

2.

(1 point)
A large class with 1,000 students took a quiz consisting of ten questions. To get an A, students needed to get 9 or 10 questions right. To pass, students needed to get at least 6 questions right.
Let X be the number of questions a student got right. The distribution of X is given below.

xP(x)00.0410.0720.0930.1440.1650.0460.0870.1280.1590.06100.05x012345678910P(x)0.040.070.090.140.160.040.080.120.150.060.05

a) If a student is selected randomly from the class, what is the probability he got an A on the quiz?



b) How many students got an A on the quiz?



c) How many students did not miss a single question on the quiz?



d) If a student is selected randomly from the class, what is the probability he passed the quiz?



e) How many students passed the quiz?



f) How many students failed the quiz?



g) If a student is selected randomly from the class, what is the probability that student got at least one question right?

Question 1:

Suppose you draw a sample of four skittles (with replacement) from a large jar containing 5,333 skittles. You record whether each of the four skittles is ORANGE or NOT ORANGE on each draw.  There are 955 orange skittles in the jar.

What is the probability of drawing an orange skittle from the jar? Round to two decimal places.

Question 2:

Suppose you draw a sample of four skittles (with replacement) from a large jar containing 5,333 skittles. You record whether each of the four skittles is ORANGE or NOT ORANGE on each draw.  There are 955 orange skittles in the jar.

Using your answer from Question #1, what is the probability of drawing no orange skittles in four draws? Round to two decimal places.

Question 3:

Suppose you draw a sample of four skittles (with replacement) from a large jar containing 5,333 skittles. You record whether each of the four skittles is ORANGE or NOT ORANGE on each draw.  There are 955 orange skittles in the jar.

Using your answer from Question #1 and #2, what is the probability of drawing no more than 1 orange skittle in four draws? Round to two decimal places.

Question 4:

Suppose you draw a sample of four skittles (with replacement) from a large jar containing 5,333 skittles. You record whether each of the four skittles is ORANGE or NOT ORANGE on each draw.  There are 955 orange skittles in the jar.

Use your answer from Question #1 to calculate the expected number of orange skittles in four draws. Round to two decimal places.

Question 5:

Suppose you draw a sample of four skittles (with replacement) from a large jar containing 5,333 skittles.  You record whether each of the four skittles is ORANGE or NOT ORANGE on each draw.  There are 955 orange skittles in the jar.  

Use your answer from Question #1 to calculate the standard deviation for the number of orange skittles in four draws. Round to two decimal places.