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Math 1342 Test 21. You are going to pick 1 card from a deck of regular playing cards. Find the probability of getting a Red Card or a Queen2. You are going to pick 1 card from a deck of regular playing cards. Find the probability of getting a Club or Black Card.3. You are going to pick 2 cards from a deck of regular playing cards and you do not replace the card after the first pick. Find the probability of getting a Heart on the first pick and a Red Card on the second pick.4. You are going to pick 2 cards from a deck of regular playing cards and you do not replace the card after the first pick. Find the probability of getting a 5 on the first pick and a 10 on the second pick.5. A Game is to be played where there is a box with 3 - $100 bill, 5- $20 bills, 2- $5.00 bills and 10 - Blank Bills. You reach into the box and pick a bill. What is the probability of not getting a blank bill?6. Assume there are 2 jars with different color balls in them. Jar 1 has 5 red and 5 blue, Jar 2 has 9 red and 1 blue. If you close our eyes and pick a ball at random find the probability of picking a blue ball.Use the following Table for Mail Delivery Delivered to First Class Ads Magazine Home100400300 Business70010002007. Find the probability that the mailed item was First Class or it went to a home.8. Find the probability that the mailed item was an Ad.9. Find the probability that the mailed item went to a home given that it was a magazine.10. At a local clinic there are 10 men, 8 women. If 3 patients are selected at random find the probability that at least one of the patients is a woman.Assume there is a 4 person family and you are looking at the gender of the children. Let therandom variable X stand for number of females in the 4 children in the sample.11. List the Discrete Random Variable Distribution in table format for this situation. Find themean, variance and standard deviation for this distribution.12. A raffle is to be held on a TV that is valued at $3000. A ticket costs $7.00 and 2000 ticketsare sold. Find the expected value, E(X) for this situation.13. A person randomly guesses on a 10 problem True or False test. Find the probability ofgetting exactly 7 questions correct. Use Statcrunch to solve this and paste in your graph andsolution.14. Using the previous problem find the probability of getting less than 8 questions correct. UseStatcrunch to solve this and paste in your graph and solution.15. A person takes a 7 problem test where each question has options a, b, c, and d. Find theprobability of getting 5 or more questions correct. Use Statcrunch to solve this and paste inyour graph and solution.
Let x1, ..., xn be a random sample from an exponential distribution, X ~ EXP(theta) a) If x(bar) = 17.9 with n = 50, then find a one-sided lower 95% confidence limit for theta.
The probability that he passes both finals is .60. What is the probability that the student will pass at least one of these final examinations?
A state education agency designs and administers high school proficiency exams. Historically, time to complete the exam was an average of 120 minutes.
In the Florida lottery, six numbers from 1 to 53 must be selected. to win the jackpot, the six numbers must match the draw numbers.
Dr. H wants to conduct a statistical test that will show her new medication to be effective in decreasing violence in criminals. What is the null hypothesis? What is the alternate hypothesis?
Determine the mean and the standard deviation of the following frequency distribution. (Round your answers to 2 decimal places.)
At a food processing plant, a machine produces 10 lb bags of sugar. In this particular process, it is important that the sugar content does not go below 9.9 lbs. In fact, when the bags of sugar are less than 9.9 lbs, maintenance is performed on th..
They find that these 100 people lost an average of 38 hours with a standard deviation of 9.5 hours. What is the P-value for this significance test?
Is the event of choosing card green or blue on the first selection independent of choosing card green or red on the second selection? Why or why not?
The amount of time the university professors devote to their jobs per week is normally distributed with a mean of 52 hours and a standard deviation of 6 hours.
The estimated miles per gallon ratings of a class of automobiles are normally distributed with a mean of 12.8 and a standard deviation of 3.2. What is the probability that one of these automobiles selected at random would get:
When water taxi sank in the Baltimore Inner Harbor, an investigation revealed that the safe passenger load for water taxi was 3500 lbs. It was also noted that the mean weight of passenger was assumed to be 140 lbs.
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