Homework Answers
As per HOMEWORKLIB RULES, one is supposed to answer only the first 4 questions. I am answering all. But, kindly dont repeat it.
a)Theoretical probability of even number=1/2=0.5
Experimental=9/20=0.45
b)Probability of having quiz on monday=
c)Spinning wheel->Probability of less than 5=
d)Rudolph spun wheel->Theoretical probability=90/360=1/4=0.25
Experimental Probability=12/48=1/4=0.25
Both are same->Neither probability is greater, both are same
e)Sponsorship decols:
Theoretical Probability=2400/4000=0.6
Experimental=5/20=0.25
Theoretical Probability is greater than experimental
f)Rolling a 4:
Theoretical Probability=1/6
Experimental=7/36
Experimental probability is greater than theoretical
g)P(not a bluefin tuna)=1-P(bluefin tuna)=
h)P(Selecting a cup with no ball)=2/3
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A fair, 10-sided die with sides labeled 1 through 10 is rolled 20 times. The results...
A 20-sided fair die and an 8-sided fair die are rolled. What is the probability of...
A 20-sided fair die and an 8-sided fair die are rolled. What is the probability of rolling: exactly a 5 on the first die OR a 2 or larger on the second die? Enter your answer as a reduced fraction. ________________
7. (3 points) Given a fair 6-sided die. Each time the die is rolled, the probabilities...
7. (3 points) Given a fair 6-sided die. Each time the die is rolled, the probabilities of rolling any of the numbers from 1 to 6 are all equal. 1) If it is rolled once and let A be the event of rolling a number larger than 3 and B be the event of rolling an odd number. What is P(AV B)? 2) If it is rolled three times, what is the probability that the same number shows up in...
Numbers rolled on a Die Number on DieJulieSam Meghan 0 8 2 4 4 Julie, Sam, and Meghan are performing an experiment. The...
Numbers rolled on a Die Number on DieJulieSam Meghan 0 8 2 4 4 Julie, Sam, and Meghan are performing an experiment. They each rolled a die 20 times and the table shows their results. 1. What was the experimental probability that Meghan rolled a 5? 2. Based on her results, what is the theoretical probability that Julie will roll a 4 on her next roll? 3. One of the questions on the lab sheets asks them to determine the...
A coin is tossed and a six-sided die numbered 1 through 6 is rolled
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1. Consider a fair four-sided die, with sides 1, 2, 3, and 4, that is rolled...
1. Consider a fair four-sided die, with sides 1, 2, 3, and 4, that is rolled twice. For example, "1,4" would indicate 1 was rolled first and then 4 was rolled second a) Write down the possible outcomes, i.e., the sample space. (b) List the outcomes in the following events: Event A: The number 4 came up zero times. Event B: The number 4 came up exactly one time. . Event C: The sum of the two rolls is odd...
A die is rolled 3 times, and success is rolling a 1. (a) Construct the binomial...
A die is rolled 3 times, and success is rolling a 1. (a) Construct the binomial distribution that describes this experiment, with x indicating the number of successes. (Enter your probabilities as fractions.) (b) Find the mean of this distribution. (Enter an exact number as an integer, fraction, or decimal.) (c) Find the standard deviation of this distribution. (Round your answer to three decimal places.)
Problem 1. Suppose that a fair six-sided die is rolled n times. Let N be the number of 1's rolled...
I know Pk~1/k^5/2 just need the
work
Problem 1. Suppose that a fair six-sided die is rolled n times. Let N be the number of 1's rolled, N2 be the number of 2's rolled, etc, so that NN2+Ns-n Since the dice rolls are independent then the random vector < N,, ,Ne > has a multinomial distribution, which you could look up in any probability textbook or on the web. If n 6k is a multiple of 6, let Pa be...
Suppose a fair die numbered 1 to 5 is rolled 4 times. Complete parts (a) and...
Suppose a fair die numbered 1 to 5 is rolled 4 times. Complete parts (a) and (b) below. (a) Find the probability distribution for the number of times 3 is rolled. 0 1 2 3 4 P(x) (Round to four decimal places as needed.) (b) What is the expected number of times 3 is rolled? E(x)=(Round to four decimal places as needed.)
We roll a fair 8-sided die five times. (A fair 8-sided die is equally likely to...
We roll a fair 8-sided die five times. (A fair 8-sided die is equally likely to be 1, 2, 3, 4, 5, 6, 7, or 8.) (a) What is the probability that at least one of the rolls is a 3? (b) Let X be the number of different values rolled. For example, if the five rolls are 2, 3, 8, 8, 7, then X = 4 (since four different values were rolled: 2,3,7,8). Find E[X].
Consider that an 10-sided die, numbered 1-10, is rolled. Find the probability that the roll results...
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7. (3 points) Given a fair 6-sided die. Each time the die is rolled, the probabilities of rolling any of the numbers from 1 to 6 are all equal. 1) If it is rolled once and let A be the event of rolling a number larger than 3 and B be the event of rolling an odd number. What is P(AV B)? 2) If it is rolled three times, what is the probability that the same number shows up in...
Numbers rolled on a Die Number on DieJulieSam Meghan 0 8 2 4 4 Julie, Sam, and Meghan are performing an experiment. They each rolled a die 20 times and the table shows their results. 1. What was the experimental probability that Meghan rolled a 5? 2. Based on her results, what is the theoretical probability that Julie will roll a 4 on her next roll? 3. One of the questions on the lab sheets asks them to determine the...
1. Consider a fair four-sided die, with sides 1, 2, 3, and 4, that is rolled twice. For example, "1,4" would indicate 1 was rolled first and then 4 was rolled second a) Write down the possible outcomes, i.e., the sample space. (b) List the outcomes in the following events: Event A: The number 4 came up zero times. Event B: The number 4 came up exactly one time. . Event C: The sum of the two rolls is odd...
I know Pk~1/k^5/2 just need the
work
Problem 1. Suppose that a fair six-sided die is rolled n times. Let N be the number of 1's rolled, N2 be the number of 2's rolled, etc, so that NN2+Ns-n Since the dice rolls are independent then the random vector < N,, ,Ne > has a multinomial distribution, which you could look up in any probability textbook or on the web. If n 6k is a multiple of 6, let Pa be...
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We roll a fair 8-sided die five times. (A fair 8-sided die is equally likely to be 1, 2, 3, 4, 5, 6, 7, or 8.) (a) What is the probability that at least one of the rolls is a 3? (b) Let X be the number of different values rolled. For example, if the five rolls are 2, 3, 8, 8, 7, then X = 4 (since four different values were rolled: 2,3,7,8). Find E[X].
Consider that an 10-sided die, numbered 1-10, is rolled. Find the probability that the roll results in an odd number or a number greater than nine? a) 0.70 b) 0.80 Oc) 0.60 d) 0.85 O e) 0.90
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