7. 4 light bulbs were selected from 15, of the 15 there were 5 defectives. What is the probability that 3 of the 4 selected were defective? Also find the mean and variance of the hypergeometric distribution.
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- The distribution of scores for the final exam in Math class last year had a Normal distribution with a mean of 74 and a standard deviation of 14. A random sample of 49 exam papers is selected. What is the probability that the sample mean is lower than 77?The weight of goods shipped in containers of a certain size is a normally distributed random variable. It is known that 65% of the containers have a net weight above 4,98 tons, and 45% of containers net weight above 5,2 tons. Find the mean and standard deviation of the net weight containers.Don't use the function key on the calculator, or any other technology to find the probabilities, and use Standard Normal Table. A study was conducted to determine whether or not magnets were effective in treating lower back pain. The control group was given a sham treatment ( similar to a placebo. Pain was measured using the visual analog scale. Reduction in pain level for the 100 patients given the magnet treatment was an average of 0.49, and a standard deviation of 0.96. Reduction in pain level for the 100 patients given the sham treatment was an average of 0.44, and a standard deviation of 1.4. Test at the 95% confidence level to determine whether or not the magnet therapy was effective. Use a two tailed test of hypothesis. Use the p-value method to form your conclusion. Clearly show what two values you are comparing to make your decision.
- The burning life (in hours) of electric lamps installed in a street of a city follows a normal distribution with an average of 120 burning hours and variance of 54000 square minutes. Find the probability of the electric lamps that are likely to burn for more than 110 hours more than 5124 minutes and less than 7450 minutesAssume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?Fourty six percent of the students in a class of 120 are planning to go to graduate school, Find the variance of this binomial distribution
- The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the variance of the waiting time is 1. Find the probability that a person will walt for less than 7 minutes. Round your answer to four decimal places. Answer esc If you would like to look up the value in a table, select the table you want to view, then either click the cell at the intersection of the row and column or use the arrow keys to find the appropriate cell in the table and select it using the Space key. 1 hp angle. q a Z F @ 2 W S 320 3 e d C $ 4 r f % 5 V t g Normal Table - to-z Normal Table - to z 6 O Oll b y hp h & 7 O n u J - * 8 N O i m 9 k * O : Tables ctrl Keypa Keyboard Shortc Submit Answer { D + = ? Oct 27 11 } 5:21 8 back 1 USE YOUR SMARTIN Reviews - Videog Spass SunSuppose that the annual rainfall in Waco can be modeled with a Normal distribution with a mean of 35.9 inches and a variance of 8.41. a) In 1999, the amount of rainfall in Waco was 20.48 inches, What is the probability of observing an annual rainfall of than 20,48 inches in Waco? What is the probability of having at least one year out of n=10 with a total rainfall amount of more than 40 inches? What assumptions must be made to answer this question?Describe a scenario where a researcher could use an F-test for the equality of two variances to answer a research question.
- The sizes of houses in Kenton County are normally distributed with a mean of 1369 square feet with a standard deviation of 171 square feet. For a randomly selected house in Kenton County, what is the probability the house size is under 1615 sq. ft. (round z to 2 decimal places & probability to 4 decimal places)? z = probability =An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 137 lb and a standard deviation of 34.8 lb. if 35 different pilot are randomly selected find the probability that their mean weight is between 130 lb and 181 lbSuppose a batch of metal shafts produced in a manufacturing company have a variance of 7.84 and a mean diameter of 201 inches. If 89 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 201.2 inches? Round your answer to four decimal places. don't forget to round