# Statistics

Anonymous
account_balance_wallet \$20

Question description

quiz 44 questions

1. Solve for probabilities in a continuous uniform distribution
2. Solve for probabilities in a normal distribution using z scores and for the mean, the standard deviation, or a value of x in a normal distribution when given information about the area under the normal curve
3. Solve problems from the discrete binomial distribution using the continuous normal distribution and correcting for continuity

1. Solve for probabilities in a continuous uniform distribution
2. Solve for probabilities in a normal distribution using z scores and for the mean, the standard deviation, or a value of x in a normal distribution when given information about the area under the normal curve
3. Solve problems from the discrete binomial distribution using the continuous normal distribution and correcting for continuity

uoscar
School: UIUC

The solution is attached.Please, give me feedback.

QUESTION 1
1. The weight of softballs is uniformly distributed over the interval of
8 to 12 ounces, inclusively. What is the probability that a randomly selected softball will weigh
between 13 and 15 ounces?

0.250
0.500
0.375
0.000
1.000

QUESTION 2
1. If the weight of softballs is uniformly distributed over the interval of
8 to 12 ounces, inclusively then what is the probability that a randomly selected softball will
weigh more than 10 ounces?
0.750
0.000
0.333
0.500
0.900

QUESTION 3
1. The time it takes (in minutes) to change a flat tire is uniformly distributed. The time is
distributed over a uniform interval of 20 to 30 minutes, inclusively. What is the probability that
the change of a flat tire will be completed in 21.75 to 24.25 minutes?
0.250
0.333

0.375
0.000
1.000
QUESTION 4
Z is a normally distributed random variable. The distribution of Z has a mean equal to 0 and a standard
deviation equal to 1. What is the probability that z will be less than 1.3 or P(Z -1.1)?
0.36432
0.8643
0.1357
-0.1357
-0.8643
QUESTION 6
The number of miles a Ford Explorer is driven before needing a major repair is known to be normally
distributed with a mean of 40,000 miles and a standard deviation of 5,000 miles. What is the probability
that a randomly selected Explorer will travel at least 50,000 miles before needing a major repair?
0.0228
0.9772
0.5000

0.4772
1.0000
QUESTION 7
1. The net gain on an investment in gold is normally distributed with a mean of \$10,000 and a
standard deviation of \$5,000. What is the probability that an investor will realize a net gain of at
least \$5,000 on his investment in gold?
0.1859
0.3413
0.8413
0.4967
0.5000

QUESTION 8
1. The diameter of flex piping used in commercial heating systems is normally distributed with a
mean of 30.5 inches and a standard deviation of 0.20 inches. What is the probability that a
randomly selected section of flex pipe will have a diameter of less than 31 inches?
0.00
0.9938
.8289
.5987
QUESTION 9
1. An apple juice producer buys all his apples from a conglomerate of apple growers in one
northwest state. The amount of juice squeezed from each of these apples is approximately
normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce.
What is the probability that a randomly selected apple will contain between 2.00 and 3.00
ounces of juice?
.0475
.4525

.9525
.9554

QUESTION 10
1. An apple juice producer buys all his apples from a conglomerate of apple growers in one
northwest state. The amount of juice squeezed from each of these apples is approximately
normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce.What is
the probability that a randomly selected apple will contain between 2.00 and 2.15 ounces?
.4525
.2039
.2486
.7011
QUESTION 11
1. The organizers of the "Holy Smokes Marathon" provide bottled water to the participants and
spectators during the race. Based on data collected in the past, the organizers know that the
number of bottles of water passed out is normally distributed with a mean of 200 bottles and a
standard deviation of 20 bottles. Based on this information, what is the probability that at this
year's race they will hand out between 180 and 210 bottles of water?
.6915
.1915
.5328
.1587
QUESTION 12
1. The starting salaries of individuals with a B.A. in Art History are normally distributed with a mean
of \$40,000 and a standard deviation of \$5,000. If an individual with a B.A. in Art History is
randomly selected, what is the probability that his or her starting salary will b...

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Anonymous
Excellent job

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The text passage contains a series of questions and multiple-choice answers related to probability and statistics, specifically focusing on uniform and normal distributions.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Statistics

Anonymous
account_balance_wallet \$20

Question description

quiz 44 questions

1. Solve for probabilities in a continuous uniform distribution
2. Solve for probabilities in a normal distribution using z scores and for the mean, the standard deviation, or a value of x in a normal distribution when given information about the area under the normal curve
3. Solve problems from the discrete binomial distribution using the continuous normal distribution and correcting for continuity

1. Solve for probabilities in a continuous uniform distribution
2. Solve for probabilities in a normal distribution using z scores and for the mean, the standard deviation, or a value of x in a normal distribution when given information about the area under the normal curve
3. Solve problems from the discrete binomial distribution using the continuous normal distribution and correcting for continuity

uoscar
School: UIUC

The solution is attached.Please, give me feedback.

QUESTION 1
1. The weight of softballs is uniformly distributed over the interval of
8 to 12 ounces, inclusively. What is the probability that a randomly selected softball will weigh
between 13 and 15 ounces?

0.250
0.500
0.375
0.000
1.000

QUESTION 2
1. If the weight of softballs is uniformly distributed over the interval of
8 to 12 ounces, inclusively then what is the probability that a randomly selected softball will
weigh more than 10 ounces?
0.750
0.000
0.333
0.500
0.900

QUESTION 3
1. The time it takes (in minutes) to change a flat tire is uniformly distributed. The time is
distributed over a uniform interval of 20 to 30 minutes, inclusively. What is the probability that
the change of a flat tire will be completed in 21.75 to 24.25 minutes?
0.250
0.333

0.375
0.000
1.000
QUESTION 4
Z is a normally distributed random variable. The distribution of Z has a mean equal to 0 and a standard
deviation equal to 1. What is the probability that z will be less than 1.3 or P(Z -1.1)?
0.36432
0.8643
0.1357
-0.1357
-0.8643
QUESTION 6
The number of miles a Ford Explorer is driven before needing a major repair is known to be normally
distributed with a mean of 40,000 miles and a standard deviation of 5,000 miles. What is the probability
that a randomly selected Explorer will travel at least 50,000 miles before needing a major repair?
0.0228
0.9772
0.5000

0.4772
1.0000
QUESTION 7
1. The net gain on an investment in gold is normally distributed with a mean of \$10,000 and a
standard deviation of \$5,000. What is the probability that an investor will realize a net gain of at
least \$5,000 on his investment in gold?
0.1859
0.3413
0.8413
0.4967
0.5000

QUESTION 8
1. The diameter of flex piping used in commercial heating systems is normally distributed with a
mean of 30.5 inches and a standard deviation of 0.20 inches. What is the probability that a
randomly selected section of flex pipe will have a diameter of less than 31 inches?
0.00
0.9938
.8289
.5987
QUESTION 9
1. An apple juice producer buys all his apples from a conglomerate of apple growers in one
northwest state. The amount of juice squeezed from each of these apples is approximately
normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce.
What is the probability that a randomly selected apple will contain between 2.00 and 3.00
ounces of juice?
.0475
.4525

.9525
.9554

QUESTION 10
1. An apple juice producer buys all his apples from a conglomerate of apple growers in one
northwest state. The amount of juice squeezed from each of these apples is approximately
normally distributed with a mean of 2.25 ounces and a standard deviation of 0.15 ounce.What is
the probability that a randomly selected apple will contain between 2.00 and 2.15 ounces?
.4525
.2039
.2486
.7011
QUESTION 11
1. The organizers of the "Holy Smokes Marathon" provide bottled water to the participants and
spectators during the race. Based on data collected in the past, the organizers know that the
number of bottles of water passed out is normally distributed with a mean of 200 bottles and a
standard deviation of 20 bottles. Based on this information, what is the probability that at this
year's race they will hand out between 180 and 210 bottles of water?
.6915
.1915
.5328
.1587
QUESTION 12
1. The starting salaries of individuals with a B.A. in Art History are normally distributed with a mean
of \$40,000 and a standard deviation of \$5,000. If an individual with a B.A. in Art History is
randomly selected, what is the probability that his or her starting salary will b...

flag Report DMCA
Review

Anonymous
Excellent job

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors
user
The text passage contains a series of questions and multiple-choice answers related to probability and statistics, specifically focusing on uniform and normal distributions.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS