Question As in the previous problem, a fair coin is flipped 80 times. If X is the number of heads, then the distribution of X can be approximated with a normal distribution, N(40,4.5), where the mean (μ) is 40 and standard deviation (σ) is 4.5. Using this approximation, find the probability of flipping 43, 44, or 45 heads. You may use the portion of the Standard Normal Table below. Round the final answer to two decimal places.   Question A fair coin is flipped 80 times. L...

Question Jamie was told that her reading test score was 1 standard deviation above the mean. If test scores were approximately normal with μ=97 and σ=10, what was Jamie's score? Question Alice was told that her reading test score was 2 standard deviations below the mean. If test scores were approximately normal with μ=84 and σ=8, what was Alice's score?   Question Rosetta averages 148 points per bowling game with a standard deviation of 14 points. Suppose Rosetta's points per bowl...

QUESTION 1 A random sample of house sizes in major city has a sample mean of x¯=1204.9 sq ft and sample standard deviation of s=124.6 sq ft.  Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 sq ft. Round your answer to the nearest whole number (percent).   QUESTION 2 Andrea conducted a survey in which she collected data on the percentage of people who like horror films and the percentage of people who like romanti...

Question Use the completed contingency table to find the probability that a citizen exercises, given that they are female. Express your answer as a fraction. Question The following incomplete contingency table shows a random sample of 160 citizens were asked if they exercise. Complete the table.   Question Fill in the following contingency table and find the number of students who both have a cat AND have a dog. Question Fill in the following contingency table and find th...

Question Given that P(A AND B)=0.70 and P(A|B)=0.94, what is P(B)? Round your answer to three decimal places.   Question The probability that a child watches cartoons after school is 0.56. The probability that the child requests a certain toy of a cartoon character given that the child watches cartoons after school is 0.89. What is the probability that a child will request a toy and watch cartoons after school? Give your answer as a percent, rounded to two decimal places if ne...

Question Suppose A and B are mutually exclusive events, and that P(B)=0.24 and P(A OR B)=0.27. Find P(A).   Question Suppose A and B are mutually exclusive events, and that P(B)=0.03 and P(A OR B)=0.52. Find P(A).   Question If the probability of a student selling brownies is 0.2, the probability of selling rootbeer floats is 0.4, and the probability of selling brownies and rootbeer floats is 0.01, what is the probability of a student selling brownies or rootbeer floats? ...

Question The event of eating breakfast at a diner is A and the event of watching cable is B. If these events are independent events, using P(A)=0.22, and P(B)=0.46, what is P(B|A)? Question The event the number 9 car wins the race is A and the event the number 8 car wins the race is B. If these events are mutually exclusive events, using P(A)=0.39, and P(B)=0.31, what is P(A|B)? Question The following information about undergraduates at a university is given: The probability that...

Question When you roll a pair of six-sided die, the probability of rolling an 8 is 5/36. Identify the method of probability that was used to reach this statement.   Question An urn contains 6 red beads, 4 blue beads, and 2 green beads. If a single bead is picked at random, what is the probability that the bead is blue? Give your answer as a fraction.   Question You roll a standard die (with the numbers {1,2,3,4,5,6} on its faces). Let A be the event that you roll an odd...

Question For a certain animal, suppose that the number of babies born is independent for each pregnancy. This animal has a 70% chance of having 1 baby and a 30% chance of having 2 babies at each pregnancy. Let X be a random variable that represents the total number of babies if the animal gets pregnant twice. Construct a table showing the probability distribution of X. Arrange x in increasing order. Write the probabilities P(x)as decimals rounded to two decimals.   Question Oli...

Question Different types of advertising methods are being considered for a company's new product: a magazine ad (M), a television ad (T), a newspaper coupon (N), a radio ad (R), a coupon mailer (C), and a social media ad (S). The coupons are both good for ten dollars off the item. The dots in the Venn diagram below show the various methods. An advertising specialist considers a method at random to review. Let Abe the event of selecting a method that gives a discount. Let Bbe the event...