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Mathematics
General Mathematics
Maths STATS Problems
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Maths STATS Problems
Question # 00012042
Subject:
Mathematics
Topic:
General Mathematics
Due on: 05/12/2014
Posted On: 04/10/2014 11:26 PM
Rating:
4.1
/5
Posted By
vikas
Questions:
4722
Tutorials:
4991
Feedback Score:
97% (2741 ratings)
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Question
Refer to the following frequency distribution for Questions 1, 2, 3, and 4
.
Show all work
.
Just the answer, without supporting work, will receive no credit
.
The frequency distribution below shows the distribution for checkout time (in minutes) in UMUC MiniMart between 3:00 and 4:00 PM on a Friday afternoon
.
Checkout Time (in minutes) Frequency
1
.
0 – 1
.
9 5
2
.
0 – 2
.
9 6
3
.
0 – 3
.
9 4
4
.
0 – 4
.
9 3
5
.
0 – 5
.
9 2
1
.
What percentage of the checkout times was less than 3 minutes?
2
.
Calculate the mean of this frequency distribution
.
3
.
Calculate the standard deviation of this frequency distribution
.
4
.
Assume that the smallest observation in this dataset is 1
.
2 minutes
.
Suppose this observation were incorrectly recorded as 0
.
12 instead of 1
.
2
.
Will the mean increase, decrease, or remain the same? Will the median increase, decrease or remain the same?
Refer to the following information for Questions 5 and 6
.
Show all work
.
Just the answer, without supporting work, will receive no credit
.
A 6-faced die is rolled two times
.
Let A be the event that the outcome of the first roll is greater than 4
.
Let B be the event that the outcome of second roll is an odd number
.
5
.
What is the probability that the outcome of the second roll is an odd number, given that the first roll is greater than 4?
6
.
Are A and B independent? Why or why not?
Refer to the following data to answer questions 7 and 8
.
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.
Just the answer, without supporting work, will receive no credit
.
A random sample of STAT200 weekly study times in hours is as follows:
4 14 15 17 20
7
.
Find the standard deviation
.
8
.
Are any of these study times considered unusual in the sense of our textbook? Explain
.
Does this differ with your intuition? Explain
.
Refer to the following table for Questions 9, 10, and 11
.
Show all work
.
Just the answer, without supporting work, will receive no credit
.
The table shows temperatures on the first 12 days of October in a small town in Maryland
.
Date Temperature Date Temperature Date Temperature
Oct 1 73 Oct 5 53 Oct 9 66
Oct 2 66 Oct 6 52 Oct 10 49
Oct 3 65 Oct 7 62 Oct 11 53
Oct 4 70 Oct 8 55 Oct 12 57
9
.
Determine the five-number summary for this data
.
10
.
Determine the mean temperature
.
11
.
Determine the mode(s), if any
.
Refer to the following information for Questions 12 and 13
.
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.
Just the answer, without supporting work, will receive no credit
.
There are 1000 students in the senior class at a certain high school
.
The high school offers two Advanced Placement math / stat classes to seniors only: AP Calculus and AP Statistics
.
The roster of the Calculus class shows 100 people; the roster of the Statistics class shows 80 people
.
There are 45 overachieving seniors on both rosters
.
12
.
What is the probability that a randomly selected senior is in at least one of the two classes?
13
.
What is the probability that a randomly selected senior takes only one class?
Refer to the following information for Questions 14, and 15
.
Show all work
.
Just the answer, without supporting work, will receive no credit
.
A box contains 10 chips
.
The chips are numbered 1 through 10
.
Otherwise, the chips are identical
.
From this box, we draw one chip at random, and record its value
.
We then put the chip back in the box
.
We repeat this process two more times, making three draws in all from this box
.
14
.
How many elements are in the sample space of this experiment?
15
.
What is the probability that the three numbers drawn are all multiples of 3?
Questions 16 and 17 involve the random variable x with probability distribution given below
.
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.
Just the answer, without supporting work, will receive no credit
.
X 2 3 4 5 6
P(x) 0
.
1 0
.
2 0
.
3 0
.
1 0
.
3
16
.
Determine the expected value of x
.
17
.
Determine the standard deviation of x
.
Consider the following situation for Questions 18, 19 and 20
.
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.
Just the answer, without supporting work, will receive no credit
.
Mimi just started her tennis class three weeks ago
.
On average, she is able to return 15% of her opponent’s serves
.
Let random number X be the number of serves Mimi returns
.
As we know, the distribution of X is a binomial probability distribution
.
If her opponent serves 10 times, please answer the following questions:
18
.
What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively?
19
.
Find the probability that she returns at least 2 of the 10 serves from her opponent
.
20
.
Find the mean and standard deviation for the probability distribution
.
Tutorials for this Question
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Maths STATS Problems
Tutorial # 00011610
Posted On: 04/10/2014 11:27 PM
Posted By:
vikas
Questions:
4722
Tutorials:
4991
Feedback Score:
97% (2741 ratings)
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senior is in at least one of the two classes Probability that a randomly selected senior is in Calculus Probability that a randomly selected senior is in Statistics.....
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