Homework Answers
from independence:
P(at least one will still be alive after 5 years) =1-P(none of 50 will be alive after 5 days) =1-(1-3/100)50 =0.781935
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3. Only about 3 in 100 Cicadas live for more than 5 days. What is the...
Question: Cicadas are loud flying insects that emerge en masse. Imagine you measure the sound level...
Question: Cicadas are loud flying insects that emerge en masse. Imagine you measure the sound level of a single male cicada to be 88.4 dB when your sound meter is 0.617 m from it. Only male cicadas make such loud noises. It is actually possible for cicadas to damage your hearing, you can learn more about how they make noise here. Part 1) What is the intensity of the sound produced by the cicada? I= W/m2 Part 2) Exactly 69...
5.what is the probability that more than 2, but fewer than 6 people live in a...
5.what is the probability that more than 2, but fewer than 6
people live in a randomly selected household?
6.What is the probability that 3 or 4 people live in a randomly
selected household?
7.Two US households are selected at random. What is the
probability that in both households there are 7 or
more people?
8.Two US households are selected at random. What is the
probability that in both households there are more
than 3 people?
Imagine selecting a US...
(a) If your life plan is to buy one lottery ticket every day for 5 days...
(a) If your life plan is to buy one lottery ticket every day for 5 days a week, 50 weeks a year for the next 50 years, where on any lottery ticket you have a one in 500,000,000 chance of winning the jackpot, what is the probability you will win the jackpot at least once in your lifetime? Hint: Let Wi be the event you win the jackpot with the ith lottery ticket. Assume these are independent. (b) (continued) Buying...
a) Say you wait for the bus on two independent days. What is the probability that...
a) Say you wait for the bus on two independent days. What is the
probability that you wait more than 20 minutes on both days? What
about the probability of waiting more than 20 minutes on just one
of the days?
3. You are to wait for a bus to arrive. The bus arrives every 30 minutes, but you dont know the exact time it will arrive. Thus, you can wait any time between 0 and 30 minutes, and you...
4{ 73%. 12:46 PM hw2 - Read-only Read Only - You can't save changes to this...
4{ 73%. 12:46 PM hw2 - Read-only Read Only - You can't save changes to this file ECE 3U2 Homework z Due date: January 24, 2019 (Thursday), before clas:s 1. (10 points) A lot of 100 items contains k defective items. M (Ms100) items are chosen at random and tested (a) (2 pts) How many different ways can we choose M items from 100 items in the lot? (b) (4 pts) How many different ways that among the M items...
A recent study showed that for estates worth less than $6 million, about 1 out of...
A recent study showed that for estates worth less than $6 million, about 1 out of 6 of all estate tax returns are audited, but that probability increases to 60% for estates worth over $6 million. Suppose a tax accountant has three clients who have recently filed returns for estates worth more than $6 million. What are the probabilities that: a) All three will be audited? b) None will be audited? c) At least one will be audited? d) What...
A truelfalse test has 100 questions. Suppose a passing grade is 60 or more correct answers....
A truelfalse test has 100 questions. Suppose a passing grade is 60 or more correct answers. Test the claim that a student knows more than half of the answers and is not just guessing. Assume the student gets 60 answers correct out of 100. Use a significance level of 0.05. Steps 1 and 2 of a hypothesis test procedure are given below. Show step 3, finding the test statistic and the p-value and step 4, interpreting the results. Step 1:...
4-100 Phoenix water is provided to approximately 1.4 million people who are served through more than...
4-100 Phoenix water is provided to approximately 1.4 million people who are served through more than 362,000. All accounts are metered and billed monthly. The probability that an acoount has an error in a month is 0.001, and accounts can be assumed to be independent. (a) What are the mean and standard deviation of the number of account errors each month? (b) Approximate the probability of fewer than 340 errors in a month (c) Approximate a value so that the...
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ=283 days and σ=17 days. (a) What is the probability that a randomly selected pregnancy la...
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ=283 days and σ=17 days. (a) What is the probability that a randomly selected pregnancy lasts less than 277 days? The probability that a randomly selected pregnancy lasts less than 277 days is approximately 0.3632 (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the...
5.38. A nail manufacturer guarantees that not more than one nail in a box of 100 nails is defcctive. If, in fact, th...
5.38. A nail manufacturer guarantees that not more than one nail in a box of 100 nails is defcctive. If, in fact, the probability of each individ ual nail being defective is p = 0.005, compute the probability that: (a) The next box of nails violates the guarantee. Use the Poisson approximation, after assuming independence. (b) The guarantee is violated at least once in the next 25 boxes.
5.38. A nail manufacturer guarantees that not more than one nail in...
Question: Cicadas are loud flying insects that emerge en masse. Imagine you measure the sound level of a single male cicada to be 88.4 dB when your sound meter is 0.617 m from it. Only male cicadas make such loud noises. It is actually possible for cicadas to damage your hearing, you can learn more about how they make noise here. Part 1) What is the intensity of the sound produced by the cicada? I= W/m2 Part 2) Exactly 69...
5.what is the probability that more than 2, but fewer than 6
people live in a randomly selected household?
6.What is the probability that 3 or 4 people live in a randomly
selected household?
7.Two US households are selected at random. What is the
probability that in both households there are 7 or
more people?
8.Two US households are selected at random. What is the
probability that in both households there are more
than 3 people?
Imagine selecting a US...
a) Say you wait for the bus on two independent days. What is the
probability that you wait more than 20 minutes on both days? What
about the probability of waiting more than 20 minutes on just one
of the days?
3. You are to wait for a bus to arrive. The bus arrives every 30 minutes, but you dont know the exact time it will arrive. Thus, you can wait any time between 0 and 30 minutes, and you...
4{ 73%. 12:46 PM hw2 - Read-only Read Only - You can't save changes to this file ECE 3U2 Homework z Due date: January 24, 2019 (Thursday), before clas:s 1. (10 points) A lot of 100 items contains k defective items. M (Ms100) items are chosen at random and tested (a) (2 pts) How many different ways can we choose M items from 100 items in the lot? (b) (4 pts) How many different ways that among the M items...
A recent study showed that for estates worth less than $6 million, about 1 out of 6 of all estate tax returns are audited, but that probability increases to 60% for estates worth over $6 million. Suppose a tax accountant has three clients who have recently filed returns for estates worth more than $6 million. What are the probabilities that: a) All three will be audited? b) None will be audited? c) At least one will be audited? d) What...
A truelfalse test has 100 questions. Suppose a passing grade is 60 or more correct answers. Test the claim that a student knows more than half of the answers and is not just guessing. Assume the student gets 60 answers correct out of 100. Use a significance level of 0.05. Steps 1 and 2 of a hypothesis test procedure are given below. Show step 3, finding the test statistic and the p-value and step 4, interpreting the results. Step 1:...
4-100 Phoenix water is provided to approximately 1.4 million people who are served through more than 362,000. All accounts are metered and billed monthly. The probability that an acoount has an error in a month is 0.001, and accounts can be assumed to be independent. (a) What are the mean and standard deviation of the number of account errors each month? (b) Approximate the probability of fewer than 340 errors in a month (c) Approximate a value so that the...
5.38. A nail manufacturer guarantees that not more than one nail in a box of 100 nails is defcctive. If, in fact, the probability of each individ ual nail being defective is p = 0.005, compute the probability that: (a) The next box of nails violates the guarantee. Use the Poisson approximation, after assuming independence. (b) The guarantee is violated at least once in the next 25 boxes.
5.38. A nail manufacturer guarantees that not more than one nail in...
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