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Statistics and Probability
The loss due to an earthquake in a commercial building is modelled by a random
variable X with density function
f(x) = 0:005(20 0; − x); for 0 elsewhere < x < 20
Given that the fire loss exceeds 10, what is the probability that it exceeds 18.
variable X with density function
f(x) = 0:005(20 0; − x); for 0 elsewhere < x < 20
Given that the fire loss exceeds 10, what is the probability that it exceeds 18.
Statistics and Probability
Suppose that 3% of computer chips produced by a certain machine are defective. The chips are put into packages of 20 chips for distribution to retailers. What is the probability that a randomly selected package of chips will contain at least 2 defective chips?
Statistics and Probability
Hypothesis Testing:
Red Bull claims that their energy drink only contains 100 calories but you believe otherwise. Thus, you sampled 40 cans of Red Bull and learned that the average calorie content is 110 with a standard deviation of 12 calories. Discuss your findings at 0.05 using p-value method.
Red Bull claims that their energy drink only contains 100 calories but you believe otherwise. Thus, you sampled 40 cans of Red Bull and learned that the average calorie content is 110 with a standard deviation of 12 calories. Discuss your findings at 0.05 using p-value method.
Statistics and Probability
Hypothesis Testing:
As a health psychologist, you want to prove with 99% certainty that the Low Density Lipoprotein (LDL) or bad cholesterol levels of carnivorous people are higher than the LDL results of healthy adults which is supposedly around 100mg/dL. Thus, you took a sample of 60 people who always eat meat and found their mean LDL level is 125mg/dL with a standard deviation of 12mg/dL. Discuss the findings in P-value method.
As a health psychologist, you want to prove with 99% certainty that the Low Density Lipoprotein (LDL) or bad cholesterol levels of carnivorous people are higher than the LDL results of healthy adults which is supposedly around 100mg/dL. Thus, you took a sample of 60 people who always eat meat and found their mean LDL level is 125mg/dL with a standard deviation of 12mg/dL. Discuss the findings in P-value method.
Statistics and Probability
. Find the area under the standard normal distribution which lies between Z = -0.45 and Z = 0.75?
3. Find the value of Z if the normal curve area between 0 and Z (positive) is 0.4332.
4. The mean expenditure per customer at a department store is Birr 85 with standard deviation of Birr 9. If a random sample of 40 customers is taken, what is the probability that the sample average expenditure per customer will be
a) Birr 87 or more
b) Less than Birr 82
c) Between Birr 83 and 85
5. The average grade/mark of all college students is 70 with standard deviation of 20. If a random sample of 49 students is taken, what is the probability that the sample average grade/mark is
a) At least 65
b) Less than 78
c) Between 65 and 72
3. Find the value of Z if the normal curve area between 0 and Z (positive) is 0.4332.
4. The mean expenditure per customer at a department store is Birr 85 with standard deviation of Birr 9. If a random sample of 40 customers is taken, what is the probability that the sample average expenditure per customer will be
a) Birr 87 or more
b) Less than Birr 82
c) Between Birr 83 and 85
5. The average grade/mark of all college students is 70 with standard deviation of 20. If a random sample of 49 students is taken, what is the probability that the sample average grade/mark is
a) At least 65
b) Less than 78
c) Between 65 and 72
Statistics and Probability
The mean expenditure per customer at a department store is Birr 85 with standard deviation of Birr 9. If a random sample of 40 customers is taken, what is the probability that the sample average expenditure per customer will be
a) Birr 87 or more
b) Less than Birr 82
c) Between Birr 83 and 85
a) Birr 87 or more
b) Less than Birr 82
c) Between Birr 83 and 85
Statistics and Probability
A financial analyst has found out that p olicyholders are four times as likely to file two
claims as to file four claims. If the numb er of claims filed has a p osson distribution,
what is the variance of the numb er of claims filed.
claims as to file four claims. If the numb er of claims filed has a p osson distribution,
what is the variance of the numb er of claims filed.
Statistics and Probability
The average grade/mark of all college students is 70 with standard deviation of 20. If a random sample of 49 students is taken, what is the probability that the sample average grade/mark is
a) At least 65
b) Less than 78
c) Between 65 and 72
a) At least 65
b) Less than 78
c) Between 65 and 72
Statistics and Probability
In a sample of 1000 workers, if 200 of them are graduates, then what is the sample proportion of graduate workers? In addition, if 650 of them are married, what is the proportion of married workers?
Statistics and Probability
The age of workers of an industry is normally distributed with mean 35 years and standard deviation of 5 years.
i) What is the probability that a randomly selected worker is
a) Less than 40 years of age
b) Between 28 and 37 years of age
c) At least 42 years of age
ii) Find the age
A) Below which 80% of workers have it
B) Above which 60% of workers have it
i) What is the probability that a randomly selected worker is
a) Less than 40 years of age
b) Between 28 and 37 years of age
c) At least 42 years of age
ii) Find the age
A) Below which 80% of workers have it
B) Above which 60% of workers have it
