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I need 25 Statistics questions solved in Word format, all the working out for each question needs to be included.
Instructions:
Solve the following exercises:
1
. A study of queues to pay in the cash registers at a supermarket showed that during the busiest hour the average number of customer waiting to pay is
4
. What is the probability that during that period:
a. There are no customers waiting?
b. Four customers are waiting in the line?
c. Four or less customers are waiting in the line?
d. Four or more customers are waiting?
2
. Classes of first year in a school are full and it is necessary to open new groups. We consider that half of the new students will be boys and the second half will be girls. The size of each group is limited to 1
8
students.
a. What is the probability that exactly 9 boys and 9 girls will be in a group?
b. What is the probability that
11
or more boys will be in the new group? Is this the same probability as there will be less than 7 girls in the group?
c. What is the probability that exactly 7 girls and 11 boys will be in the new group?
d. What is the probability that on the first day of classes when the doors are opened the first student to arrive to the classroom will be a girl?
Solve the following exercises:
1. A food company offers
3
different meals: sopa, caldo and rice. The prices of the meals are $1
5
.
0
0, $25.00 y $22.00 respectively, based on an study the customers ask for the meals in this way, 27% soup, 55% caldo and 18% rice.
a. Is this a discrete probability distribution? Why?
b. Calculate the average amount charged per meal
c. What is the variance in the charge of the meals?
d. What is the standard deviation? Interprete the results.
e. Graph the probability distribution
|
Ratio of change |
Number of days |
||||
|
– 1 / 4 |
6 |
||||
|
– 1 / 8 |
10 |
||||
| 0 | 8 | ||||
|
1 / 8 |
12 |
||||
|
1 / 4 |
11 | ||||
|
1 / 2 |
3 |
2. A trader observed the behaviour of certain shares during 50 days in the Mexican stock market and he registered the following data:
Ratio of change
Number of days
– 1 / 4
6
– 1 / 8
10
0
8
1 / 8
12
1 / 4
11
1 / 2
3
3.
a. Does this information correspond to a discrete probability distribution?
b. Transform this information to a probability distribution and calculate the mean and variance. Interprete the results.
c. Create the graph that represent this probability distribution.
4. The manager of Human Resources in a company has information about the accidents at work during one month. He created the following probability distribution:
|
Number of accidents |
Probability |
|
|
0.27 |
||
| 1 |
0.23 |
|
| 2 |
0.17 |
|
|
0.12 |
||
| 4 |
0.09 |
|
| 5 |
0.07 |
|
|
0.05 |
a. Calculate the mean, variance and standard deviation
b. Interprete the results
c.
Create the graph that represents the probability distribution.
5. A bakery offers cakes with special decoration and also standard cakes. The owner has created the following probability distribution:
|
Sold cakes in one day |
Percentage |
|
10% |
|
|
20% |
|
|
32% |
|
|
28% |
|
Calculate the mean, variance and standard deviation. Interprete the results
Create the graph that represents the probability distribution.
Instructions:
Solve the following exercises:
1. In one experiment a person throws two dices four times.
a. What is the probability that in the last throw the person gets a 12?
b. What is the probability that in the last throw the person gets a number higher than 10?
2. The owner of a flower shop has 18 delivery vehicles. Suppose that 4 of the 18 vehicles have air conditioning to preserve the flowers. Four vehicles are chosen to test them. What is the probability that all the chosen vehicles have air conditioning to preserve the flowers?
3. An electronic devices shop received a shipment of 100 DVDs. The owner reported that there were 30 defective devices. They decided to test 2 DVDs. What is the probability that both are defective?
