Probability: Homework is part of the collection col10555 written by Barbara Illowsky and Susan Dean and provides a number of homework exercises related to Probability with contributions from Roberta Bloom.
Suppose that you have 8 cards. 5 are green and 3 are yellow. The 5 green cards are numbered 1, 2, 3, 4, and 5. The 3 yellow cards are numbered 1, 2, and 3. The cards are well shuffled. You randomly draw one card.
= card drawn is green
= card drawn is even-numbered
List the sample space.
Are
and
mutually exclusive? Justify your answer numerically.
No
Refer to the previous problem. Suppose that this time you randomly draw two cards, one at a time, and
with replacement .
Draw a tree diagram of the situation.
Are
and
independent events? Explain why or why not.
Refer to the previous problems. Suppose that this time you randomly draw two cards, one at a time, and
without replacement .
= first card is green
= second card is green
Draw a tree diagram of the situation.
Are
and
independent events? Explain why or why not.
No
Roll two fair dice. Each die has 6 faces.
List the sample space.
Let
be the event that either a 3 or 4 is rolled first, followed by an even number. Find
.
Let
be the event that the sum of the two rolls is at most 7. Find
.
In words, explain what “
” represents. Find
.
Are
and
mutually exclusive events? Explain your answer in 1 - 3 complete sentences, including numerical justification.
Are
and
independent events? Explain your answer in 1 - 3 complete sentences, including numerical justification.
A special deck of cards has 10 cards. Four are green, three are blue, and three are red. When a card is picked, the color of it is recorded. An experiment consists of first picking a card and then tossing a coin.
List the sample space.
Let
be the event that a blue card is picked first, followed by landing a head on the coin toss. Find
.
Let
be the event that a red or green is picked, followed by landing a head on the coin toss. Are the events
and
mutually exclusive? Explain your answer in 1 - 3 complete sentences, including numerical justification.
Let
be the event that a red or blue is picked, followed by landing a head on the coin toss. Are the events
and
mutually exclusive? Explain your answer in 1 - 3 complete sentences, including numerical justification.
Yes
No
An experiment consists of first rolling a die and then tossing a coin:
List the sample space.
Let
be the event that either a 3 or 4 is rolled first, followed by landing a head on the coin toss. Find
.
Let
be the event that a number less than 2 is rolled, followed by landing a head on the coin toss. Are the events
and
mutually exclusive? Explain your answer in 1 - 3 complete sentences, including numerical justification.
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
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Source:
OpenStax, Collaborative statistics using spreadsheets. OpenStax CNX. Jan 05, 2016 Download for free at http://legacy.cnx.org/content/col11521/1.23
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