Question 5 To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine found in all commercial brands of cigarettes. A new cigarette has recently been marketed. From a sample of 91 cigarettes, the FDA tests on this cigarette gave a mean nicotine content of 26.2 milligrams and standard deviation of 2.6 milligrams. Calculate the 98% confidence interval for the amount of nicotine found in all commercial brands of cigarettes? [4] Question 1 The contingency table below shows the department that 80 students at a community college belongs to and whether they passed or failed their final examination Pass Fail Department Science Business Humanities Law 13 22 12 5 3 4 13 8 a) What is the probability that a randomly selected student passed their final examination? [2] b) What is the probability that a randomly selected humanities student passed their final examination? [2] c) What is the probability that a randomly selected student failed or is from the science department? [3] d) What is the probability that a randomly selected passed, given that they were a law student? [3] Question 2 The following probability distribution table shows the number of cars the top Sales Agents at Car Plus sells in a day and their corresponding probability. Number of cars, x 0 2 3 4 Probability, P(X = x) 0.10 0.20 0.30 a 0.05 a) Calculate the value of a E b) On a typical day, how many cars should the top sales agent expect to sell? c) What is the variance of the distribution? [2] [3] Question 3 A large chain retailer purchases the new model Samsung phone from the Samsung store. Samsung admits that 60% of its stock is defective. An inspector randomly picks 12 of the phones from a shipment. a) What is the probability that i. exactly 10 of the phones will be defective ii. Less than 3 phones will be defective. b) Find the expected number of defective phones. [2]
Question 5 To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine found in all commercial brands of cigarettes. A new cigarette has recently been marketed. From a sample of 91 cigarettes, the FDA tests on this cigarette gave a mean nicotine content of 26.2 milligrams and standard deviation of 2.6 milligrams. Calculate the 98% confidence interval for the amount of nicotine found in all commercial brands of cigarettes? [4] Question 1 The contingency table below shows the department that 80 students at a community college belongs to and whether they passed or failed their final examination Pass Fail Department Science Business Humanities Law 13 22 12 5 3 4 13 8 a) What is the probability that a randomly selected student passed their final examination? [2] b) What is the probability that a randomly selected humanities student passed their final examination? [2] c) What is the probability that a randomly selected student failed or is from the science department? [3] d) What is the probability that a randomly selected passed, given that they were a law student? [3] Question 2 The following probability distribution table shows the number of cars the top Sales Agents at Car Plus sells in a day and their corresponding probability. Number of cars, x 0 2 3 4 Probability, P(X = x) 0.10 0.20 0.30 a 0.05 a) Calculate the value of a E b) On a typical day, how many cars should the top sales agent expect to sell? c) What is the variance of the distribution? [2] [3] Question 3 A large chain retailer purchases the new model Samsung phone from the Samsung store. Samsung admits that 60% of its stock is defective. An inspector randomly picks 12 of the phones from a shipment. a) What is the probability that i. exactly 10 of the phones will be defective ii. Less than 3 phones will be defective. b) Find the expected number of defective phones. [2]
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
Related questions
Question
![Question 5
To help consumers assess the risks they are taking, the Food and Drug Administration (FDA)
publishes the amount of nicotine found in all commercial brands of cigarettes. A new cigarette has
recently been marketed. From a sample of 91 cigarettes, the FDA tests on this cigarette gave a
mean nicotine content of 26.2 milligrams and standard deviation of 2.6 milligrams.
Calculate the 98% confidence interval for the amount of nicotine found in all commercial brands
of cigarettes?
[4]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1184aa2d-ca90-40b8-bcfb-855618a1c68a%2F46b4057f-439f-45e1-b62f-ee20979a3f0e%2Fbfgg62h_processed.png&w=3840&q=75)
Transcribed Image Text:Question 5
To help consumers assess the risks they are taking, the Food and Drug Administration (FDA)
publishes the amount of nicotine found in all commercial brands of cigarettes. A new cigarette has
recently been marketed. From a sample of 91 cigarettes, the FDA tests on this cigarette gave a
mean nicotine content of 26.2 milligrams and standard deviation of 2.6 milligrams.
Calculate the 98% confidence interval for the amount of nicotine found in all commercial brands
of cigarettes?
[4]
![Question 1
The contingency table below shows the department that 80 students at a community college
belongs to and whether they passed or failed their final examination
Pass
Fail
Department
Science
Business
Humanities
Law
13
22
12
5
3
4
13
8
a) What is the probability that a randomly selected student passed their final examination?
[2]
b) What is the probability that a randomly selected humanities student passed their final
examination?
[2]
c) What is the probability that a randomly selected student failed or is from the science
department?
[3]
d) What is the probability that a randomly selected passed, given that they were a law
student?
[3]
Question 2
The following probability distribution table shows the number of cars the top Sales Agents at Car
Plus sells in a day and their corresponding probability.
Number of cars, x
0
2
3
4
Probability, P(X = x) 0.10
0.20
0.30
a
0.05
a) Calculate the value of a
E
b) On a typical day, how many cars should the top sales agent expect to sell?
c) What is the variance of the distribution?
[2]
[3]
Question 3
A large chain retailer purchases the new model Samsung phone from the Samsung store.
Samsung admits that 60% of its stock is defective. An inspector randomly picks 12 of the phones
from a shipment.
a) What is the probability that
i.
exactly 10 of the phones will be defective
ii.
Less than 3 phones will be defective.
b) Find the expected number of defective phones.
[2]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1184aa2d-ca90-40b8-bcfb-855618a1c68a%2F46b4057f-439f-45e1-b62f-ee20979a3f0e%2Fk2yh53e_processed.png&w=3840&q=75)
Transcribed Image Text:Question 1
The contingency table below shows the department that 80 students at a community college
belongs to and whether they passed or failed their final examination
Pass
Fail
Department
Science
Business
Humanities
Law
13
22
12
5
3
4
13
8
a) What is the probability that a randomly selected student passed their final examination?
[2]
b) What is the probability that a randomly selected humanities student passed their final
examination?
[2]
c) What is the probability that a randomly selected student failed or is from the science
department?
[3]
d) What is the probability that a randomly selected passed, given that they were a law
student?
[3]
Question 2
The following probability distribution table shows the number of cars the top Sales Agents at Car
Plus sells in a day and their corresponding probability.
Number of cars, x
0
2
3
4
Probability, P(X = x) 0.10
0.20
0.30
a
0.05
a) Calculate the value of a
E
b) On a typical day, how many cars should the top sales agent expect to sell?
c) What is the variance of the distribution?
[2]
[3]
Question 3
A large chain retailer purchases the new model Samsung phone from the Samsung store.
Samsung admits that 60% of its stock is defective. An inspector randomly picks 12 of the phones
from a shipment.
a) What is the probability that
i.
exactly 10 of the phones will be defective
ii.
Less than 3 phones will be defective.
b) Find the expected number of defective phones.
[2]
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