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Problem 1:
A dataset contains information on travel behavior of male and female workers of a small office. A total of 50 workers drive (27 males and 23 females) and 30 others use transit (14 males and 16 females). If we randomly choose one individual,
a. What is the probability that the individual is a driver?
b. What is the probability that the individual is male?c. What is the probability that it is a male driver? d. What is the probability that it is a female or a transit user?If we randomly pick two individuals, e. What is the probability that both are transit users?
Problem 2:
A long-term record for weather in a certain province shows that the annual precipitation has a mean of 39.67 inches and a standard deviation of 4.38 inches. If the annual precipitation amount has a normal distribution, what is the probability that next year the total precipitation will be:
a. more than 50.0 inches?b. between 42.0 and 48.0 inches?c. between 30.0 and 37.5 inches?d. more than 35.0 inches?e. less than 45.0 inches?f. less than 32.0 inches?
Assume that for population of students at school, distribution of x is well approximated by normal curve with mean 48 min and standard deviation 4 min.
Describe the error in the conclusion. Given: There is a linear correlation between the number of cigarettes smoked and the pulse rate. As the number of cigarettes increases the pulse rate increases. Conclusion: Cigarettes cause the pulse rate to i..
A feed company is developing a feed supplement from two grains A and B. Each kilogram of A contains 0.3 grams of protein and 0.2 grams of carbohydrates; each kilogram of B contains 0.9 grams of protein and 0.1 grams of carbohydrates.
Description of the graph:A given histogram: normal distribution bell curve that is skewed to the left. On the x-axis of the graph, from left to right have the following numbers 0 , 50, 100.
Find that 116 plan to renew their subscriptions. Use (a=0.01). p = the population of subscribers to Golf Illustrated who renew. Calculate the p-value.
Find the range, standard deviation, and variance for the scores.
Suppose that we observe a random sample size n from a normally distributed population. If we are able to reject H0:µ = µ in favor of a two-tailed alternative hypothesis at the 10% significant level
A monthly report to the Texas Department of Health, division of Water Hygiene, contained the following water production data in thousands of gallons:
Do you think they can be solved explicitly? Take the derivative of the gamma distribution and set it equal to zero and solve for alpha and beta to find the mle?
The probability that a given altenator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) neither will fail? (c) one or the other will fail? Show all steps carefully.
The probability that a patient recovers from a disease is 63%. What is the probability that:
When the rats In the sample reach 10 weeks old, each rat is weighed. The mean weight for this sample is M=974. Sketch the appropriate distribution, and locate the critical region for the alpha level =.05.
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