Suppose that 10% of all people hate their haircut. Let X denote the number of people...
Suppose that 10% of all people hate their haircut. Let X denote
the number of people from
a sample of 200 that hate their haircut. What is the approximate
(hint hint... don't use binomial)
probability that
a. At most 35 people hate their haircut
b. At least 30 hate their haircut
c. Between 15 and 25 hate their haircut.
Homework Answers
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Suppose that 10% of all people hate their haircut. Let X denote
the number of people...
Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can...
Suppose that 10% of all steel shafts produced by a certain
process are nonconforming but can be re- worked (rather than having
to be scrapped). Consider a random sample of 200 shafts, and let X
denote the number among these that are nonconforming and can be
reworked. What is the (approximate) probability that X is a) At
most 30? [2] b) Between 15 and 25 (both inclusive)? [2] c) Assume
that the probability of at most x shafts being nonconforming...
6. Suppose 10% of all steel shafts produced by a certain process are nonconforming but can...
6. Suppose 10% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the (approximate) probability that X is (a) At most 30? (b) Less than 30? (c) Between 15 and 25 (inclusive)?
2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but...
2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be re- worked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the approximate) probability that X is a) At most 30? [2] b) Between 15 and 25 (both inclusive)? [2] c) Assume that the probability of at most x shafts being...
2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but...
2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be re- worked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the (approximate) probability that X is a) At most 30? [2] b) Between 15 and 25 (both inclusive)? [2] c) Assume that the probability of at most x shafts being...
2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but...
2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be re- worked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the (approximate) probability that X is a) At most 302 (2) b) Between 15 and 25 (both inclusive)? [2] c) Assume that the probability of at most x shafts being...
2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but...
2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be re- worked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the approximate) probability that X is a) At most 302 (2) b) Between 15 and 25 (both inclusive)? [2] c) Assume that the probability of at most I shafts being...
1. Suppose that 81% of the people in Houston live in the city and 19% of...
1. Suppose that 81% of the people in Houston live in the city and 19% of the people live in the suburbs. If the 21,000 undergraduate students from UH represent a random sample of the population, what is the probability that the number of UH undergraduates are from suburbs will be fewer than 4,000? (Hint: Apply normal approximation to binomial probability via CLT.) 2. Suppose that the body mass index (BMI) measure for adults is normally distributed with mean 21.7...
6. (Sec. 5.4) Let X denote the price for a randomly selected bouquet of 10 tulips....
6. (Sec. 5.4) Let X denote the price for a randomly selected bouquet of 10 tulips. Suppose the mean value of X is $17.50 and the standard deviation of X is $6.00. (a) Is it plausible that X is normally distributed? Explain why or why not. (b) For a random sample of 55 such bouquets, what is the approximate probability that the sample mean bouquet cost is between $15.00 and $25.00? (c) For a random sample of 55 such bouquets,...
A mail-order company business has six telephone lines. Let X denote the number of lines in...
A mail-order company business has six telephone lines. Let X denote the number of lines in use at a specified time. Suppose the pmf of X is as given in the accompanying table. 4 .19 5 0.09 6 0.01 0 x o 1 2 3 p(x) 0.11 0.15 0.20 0.25 Calculate the probability of each of the following events. (a) {at most three lines are in use} (b) {fewer than three lines are in use} (c) {at least three lines...
A mail-order company business has six telephone lines. Let X denote the number of lines in...
A mail-order company business has six telephone lines. Let X denote the number of lines in use at a specified time. Suppose the pmf of X is as given in the accompanying table. x 0 1 2 3 4 5 6 p(x) 0.12 0.15 0.20 0.25 0.18 0.07 0.03 Calculate the probability of each of the following events. (a) {at most three lines are in use} (b) {fewer than three lines are in use} (c) {at least three lines are...
Suppose that 10% of all steel shafts produced by a certain
process are nonconforming but can be re- worked (rather than having
to be scrapped). Consider a random sample of 200 shafts, and let X
denote the number among these that are nonconforming and can be
reworked. What is the (approximate) probability that X is a) At
most 30? [2] b) Between 15 and 25 (both inclusive)? [2] c) Assume
that the probability of at most x shafts being nonconforming...
6. Suppose 10% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the (approximate) probability that X is (a) At most 30? (b) Less than 30? (c) Between 15 and 25 (inclusive)?
2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be re- worked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the approximate) probability that X is a) At most 30? [2] b) Between 15 and 25 (both inclusive)? [2] c) Assume that the probability of at most x shafts being...
2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be re- worked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the (approximate) probability that X is a) At most 30? [2] b) Between 15 and 25 (both inclusive)? [2] c) Assume that the probability of at most x shafts being...
2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be re- worked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the (approximate) probability that X is a) At most 302 (2) b) Between 15 and 25 (both inclusive)? [2] c) Assume that the probability of at most x shafts being...
2. Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be re- worked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. What is the approximate) probability that X is a) At most 302 (2) b) Between 15 and 25 (both inclusive)? [2] c) Assume that the probability of at most I shafts being...
1. Suppose that 81% of the people in Houston live in the city and 19% of the people live in the suburbs. If the 21,000 undergraduate students from UH represent a random sample of the population, what is the probability that the number of UH undergraduates are from suburbs will be fewer than 4,000? (Hint: Apply normal approximation to binomial probability via CLT.) 2. Suppose that the body mass index (BMI) measure for adults is normally distributed with mean 21.7...
6. (Sec. 5.4) Let X denote the price for a randomly selected bouquet of 10 tulips. Suppose the mean value of X is $17.50 and the standard deviation of X is $6.00. (a) Is it plausible that X is normally distributed? Explain why or why not. (b) For a random sample of 55 such bouquets, what is the approximate probability that the sample mean bouquet cost is between $15.00 and $25.00? (c) For a random sample of 55 such bouquets,...
A mail-order company business has six telephone lines. Let X denote the number of lines in use at a specified time. Suppose the pmf of X is as given in the accompanying table. 4 .19 5 0.09 6 0.01 0 x o 1 2 3 p(x) 0.11 0.15 0.20 0.25 Calculate the probability of each of the following events. (a) {at most three lines are in use} (b) {fewer than three lines are in use} (c) {at least three lines...
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