Question

B. Determine whether or not the table is a valid probability distribution of a discrete random variable. Explain fully.

X | 0.23 | 0.14 | 0.17 |

P(X=x) | -0.22 | 0.38 | 0.84 |

- Daily sales of a medium sized restaurant are normally distributed with a mean of $720 and a standard deviation of $80.
- What is the probability that a randomly selected day will make a sales of at least $656?
- What is the probability that a randomly selected day will make a sales between $680 and $840?
- What is the lowest amount of sales to put a day above the top 10% of daily sales?

Donor ID | Number of days before the next donation |

1 | 33 |

2 | 37 |

3 | 34 |

4 | 36 |

5 | 33 |

6 | 32 |

7 | 34 |

8 | 33 |

9 | 32 |

10 | 35 |

11 | 32 |

12 | 36 |

13 | 32 |

14 | 34 |

15 | 35 |

16 | 35 |

17 | 35 |

18 | 33 |

19 | 32 |

20 | 33 |

21 | 35 |

22 | 31 |

23 | 35 |

24 | 34 |

25 | 35 |

26 | 36 |

27 | 37 |

28 | 36 |

29 | 33 |

30 | 33 |

31 | 34 |

32 | 35 |

33 | 31 |

34 | 34 |

35 | 34 |

36 | 36 |

37 | 33 |

38 | 33 |

39 | 34 |

40 | 37 |

41 | 32 |

42 | 31 |

43 | 35 |

44 | 31 |

45 | 37 |

46 | 36 |

47 | 37 |

48 | 31 |

49 | 31 |

50 | 36 |

51 | 35 |

52 | 36 |

53 | 32 |

54 | 33 |

55 | 33 |

56 | 33 |

57 | 33 |

58 | 35 |

59 | 35 |

60 | 36 |

61 | 32 |

62 | 34 |

63 | 36 |

Answer #1

Determine whether or not the table is a valid probability
distribution of a discrete random variable. Explain fully.
a.
x
-2
0
2
4
P(x)
0.3
0.5
0.2
0.1
b.
x
0.5
0.25
0.25
P(x)
-0.4
0.6
0.8
c.
x
1.1
2.5
4.1
4.6
5.3
P(x)
0.16
0.14
0.11
0.27
0.22

A sales analyst wants to determine whether there is
a difference in the mean monthly sales of a company’s four sales
regions. Several salespersons from each region are randomly
selected and each provides his or her sales amounts (in thousands
of dollars) for the previous month. The results are listed in the
following table. At alpha = 0.05, can the analyst conclude that
there is a difference in the mean monthly sales among the sales
regions? Assume that each population...

Perform a one-sample t-test to determine if the average
quantitative GRE score is significantly lower than 600 (use α =
0.05). Be sure to report the test statistic and
p-value.
ID
Gender
Ethnicity
Age
Science Type
Student Status
Verbal GRE
Quantitative GRE
Analytic GRE
College GPA
Graduate GPA
1
Female
White
24
Social
Full Time
450
500
550
3.14
3.42
2
Female
White
25
Social
Full Time
480
580
450
3.11
3.34
3
Female
White
30
Social
Full Time
610
650...

The data collection is conducted by randomly selecting 51
persons whose ages are between 25-30 and interviewing the average
time they spend on Instagram in a day.
What is the probability that people ages between 25-30
spend time using Instagram for more than one hour in a
day?
I need a PMF equation
The collected data:
Number of Person
Time
Number of Person
Time
Number of Person
Time
Number of Person
Time
1
120
14
90
26
120
39
70...

Assume that the two samples are independent simple random
samples selected from normally distributed populations. Do not
assume that the population standard deviations are equal.
Refer to the accompanying data set. Use a
0.010.01
significance level to test the claim that the sample of home
voltages and the sample of generator voltages are from populations
with the same mean. If there is a statistically significant
difference, does that difference have practical significance?
Day
HomeHome
left parenthesis volts right parenthesis(volts)
GeneratorGenerator...

StatCrunch Project #1 Open “Cities”. Provide the following using
Statcrunch: (in a pdf document)
mean PM10
median PM10
min PM10
max PM10
Q1 of PM10
Q3 of PM10
Standard deviation of PM10
Variance of PM10
PM10 stem & leaf plot
PM10 histogram
PM10 box plot
PM10 normal quantile plot (QQ plot)
Comparison box plots for REGION vs PM10
Scatterplot for Y vs MAX DEG F JAN
What is the coefficient of linear correlation? Q3 Q1
city
X
Y
State
Region...

Orchard Relief is a product that is designed to improve sleep at
night. The company, Eli Orchard, is guessing that sales of the
product is somewhat related to sleeping patterns of customers over
the days of the week. Before mass production of the product, Eli
Orchid has market-tested Orchid Relief in only Orange County over
the past 8 weeks. The weekly demand is recorded. Eli Orchid is now
trying to use the sales pattern over the past 8 weeks to...

Orchard Relief is a product that is designed to improve sleep at
night. The company, Eli Orchard, is guessing that sales of the
product is somewhat related to sleeping patterns of customers over
the days of the week. Before mass production of the product, Eli
Orchid has market-tested Orchid Relief in only Orange County over
the past 8 weeks. The weekly demand is recorded. Eli Orchid is now
trying to use the sales pattern over the past 8 weeks to...

Recall in our discussion of the binomial distribution the
research study that examined schoolchildren developing nausea and
vomiting following holiday parties. The intent of this study was to
calculate probabilities corresponding to a specified number of
children becoming sick out of a given sample size. Recall also that
the probability, i.e. the binomial parameter "p" defined
as the probability of "success" for any individual, of a randomly
selected schoolchild becoming sick was given.
Suppose you are now in a different...

Recall in our discussion of the binomial distribution the
research study that examined schoolchildren developing nausea and
vomiting following holiday parties. The intent of this study was to
calculate probabilities corresponding to a specified number of
children becoming sick out of a given sample size. Recall also that
the probability, i.e. the binomial parameter "p" defined as the
probability of "success" for any individual, of a randomly selected
schoolchild becoming sick was given. Suppose you are now in a
different...

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